Official Paper

SSC CPO Tier- I Previous Year Paper (Held On: 12 December 2019 Shift 1)

200 questions · 120 minutes · with answers · free

General Intelligence and Reasoning (50 questions)

1

The sequence of folding a piece of paper and the manner in which the folded paper has been cut is shown in the following figures. How would this paper look when unfolded?

  1. ((a))

  2. ((b))

  3. ((c))

  4. ((d))

Show Answer
Answer: ((d))

The paper when unfolded looks like,

Hence, option 4 is correct answer.

2

In a certain code language, ‘MACHINE’ is written as ‘N5XS3M4’. How will ‘PREDICT’ be

written as in that language?

  1. ((a))

    JI4V3YG

  2. ((b))

    KI2W3YF

  3. ((c))

    KI4W3XG

  4. ((d))

    K34W3XH

Show Answer
Answer: ((c))

KI4W3XG

The pattern followed is,

For vowels,

A is coded as 5

I is coded as 3

E is coded as 4

For consonants,

The alphabets opposite to each other are written, when the series is divided in two halves. 

Similarly,

Hence, ‘KI4W3XG’ is the correct answer.

3

Select the correct combination of mathematical signs to replace * signs and to balance the following equation.

(18 * 9 * 14) * 37 * 4

  1. ((a))
    • ÷ × =
  2. ((b))

    × ÷ - =

  3. ((c))

    ÷ - × =

  4. ((d))

    × - ÷ =

Show Answer
Answer: ((d))

× - ÷ =

Replacing the symbols and using BODMAS rule,

Option 1 → - ÷ × =

(18 - 9 ÷ 14) × 37 = 4

(18 - 0.65) × 37 = 4

  1. 35 × 37 is not equal to 4

Option 2 → × ÷ - =

(18 × 9 ÷ 14) - 37 = 4

(18 × 0.65) - 37 = 4

  1. 7 - 37 is not equal to 4

Option 3 → ÷ - × =

(18 ÷ 9 - 14) × 37 = 4

(2 - 14) × 37 = 4

-12 ×37 is not equal to 4

Option 4 → × - ÷ =

(18 × 9 - 14) ÷ 37 = 4

(162 - 14) ÷ 37 = 4

148 ÷ 37 = 4

4 = 4

Hence, option 4 is the correct answer.

4

How many triangles are there in the given figure?

  1. ((a))

    20

  2. ((b))

    15

  3. ((c))

    17

  4. ((d))

    19

Show Answer
Answer: ((c))

17

The number of triangles in the given figure is,

Hence, “17” is the correct answer.

5

Which of the given options would be a logical sequence of the following words?

  1. Primary

  2. Kindergarten

  3. University

  4. Secondary

  5. Higher Secondary

  1. ((a))

    2, 1, 5, 3, 4

  2. ((b))

    3, 1, 5, 2, 4

  3. ((c))

    5, 3, 1, 4, 2

  4. ((d))

    2, 1, 4, 5, 3

Show Answer
Answer: ((d))

2, 1, 4, 5, 3

Kindergarten comes first.

Kindergarten is followed by Primary.

Primary is followed by Secondary.

Secondary is followed by Higher Secondary.

And,

Higher Secondary is followed by a University.

The correct logical order is,

Kindergarten (2) → Primary (1) → Secondary (4) → Higher Secondary (5) → University (3)

Hence, option 4 is the correct answer.

6

Study the given pattern carefully and select the number that can replace the question mark (?) in it.

1519614
18255?
79616
  1. ((a))

    8

  2. ((b))

    12

  3. ((c))

    15

  4. ((d))

    13

Show Answer
Answer: ((c))

15

The pattern followed is,

For row 1:

15 × 14 = 210, 210 - 14 = 196

For row 2,

18 × 15 = 270, 270 - 15 = 255

For row 3,

16 × 7 = 112, 112 - 16 = 96

Hence, “15” is the correct answer.

7

Select the option in which the words share the same relationship as that shared by the given pair of words.

Fatigue : Rest

  1. ((a))

    Disease : Medicine

  2. ((b))

    Darkness : Night

  3. ((c))

    Food : Hunger

  4. ((d))

    Water : Thirst

Show Answer
Answer: ((a))

Disease : Medicine

To overcome Fatigue, one should take rest.

Similarly,

To overcome Disease, one should take Medicine.

Hence, Disease: Medicine is the correct answer.

8

Select the option that is embedded in the given figure. (Rotation is NOT allowed)

  1. ((a))

  2. ((b))

  3. ((c))

  4. ((d))

Show Answer
Answer: ((c))

The option in which the given figure is embedded is,

Hence, option 3 is the correct answer.

9

Select the figure that will come next in the following figure series. 

  1. ((a))

  2. ((b))

  3. ((c))

  4. ((d))

Show Answer
Answer: ((a))

The pattern followed is,

The image is moving clockwise on the sides, with a new element, until three elements fit into the one side.

The figure which will come next is,

Hence, option 1 is correct.

10

Which of the option figures is the exact mirror image of the given problem figure when the mirror is held to the right side of the problem figure?

  1. ((a))

  2. ((b))

  3. ((c))

  4. ((d))

Show Answer
Answer: ((b))

Hence, option 2 is correct answer.

11

Four numbers have been given out of which three are alike in some manner, while one is different. Choose the odd one.

  1. ((a))

    171

  2. ((b))

    169

  3. ((c))

    195

  4. ((d))

    91

Show Answer
Answer: ((a))

171

The pattern followed is,

Option 1 → The quotient of (171, 13) is 13.15

Option 2 →  The quotient of (169, 13) is 13

Option 3 → The quotient of (195, 13) is 15

Option 4 → The quotient of (91, 13) is 7

All are perfectly divisible by 13 except 171.

Hence, 171 is correct answer.

12

In a certain code language, ‘REQUEST’ is written as ‘22-21-7-23-19-7-20’. How will ‘SWITCH’ be written as in that language?

  1. ((a))

    21-25-11-22-5-10

  2. ((b))

    19-23-11-22-5-8

  3. ((c))

    10-5-20-11-25-21

  4. ((d))

    10-5-22-11-25-21

Show Answer
Answer: ((d))

10-5-22-11-25-21

The pattern followed here is,

Similarly,

Hence, “10-5-22-11-25-21” is the correct answer.

13

Arrange the following words in the order in which they appear in an English dictionary.

  1. Appear
  2. Apparent
  3. Apostle
  4. Apology
  5. Appetite
  1. ((a))

    5, 4, 3, 1, 2

  2. ((b))

    5, 2, 3, 1, 4

  3. ((c))

    4, 3, 2, 1, 5

  4. ((d))

    5, 3, 4, 1, 2

Show Answer
Answer: ((c))

4, 3, 2, 1, 5

Apology comes first in the order.

It is followed by Apostle.

Apostle is followed by Apparent.

Apparent is followed by Appear.

Appear is followed by Appetite.

The correct dictionary order is,

Apology (4) → Apostle (3) → Apparent (2) → Appear (1) → Appetite (5)

Hence, option 3 is the correct answer.

14

Select the option that is related to the third term in the same way as the second term is related to the first term.

WARDROBE : AWDROREB :: AQUARIUM : ?

  1. ((a))

    UQAAIRMU

  2. ((b))

    MUIRRAUQA

  3. ((c))

    QAAUIRMU

  4. ((d))

    QAAIURMU

Show Answer
Answer: ((c))

QAAUIRMU

The pattern followed is, 

Similarly,

Hence, ‘QAAUIRMU’ is the correct answer.

15

Which of the option figures is the exact mirror image of the given problem figure when the mirror is held to the right side of the problem figure?

  1. ((a))

  2. ((b))

  3. ((c))

  4. ((d))

Show Answer
Answer: ((d))

The exact mirror image of the given problem figure when the mirror is held to the right side of the problem figure is,

Hence, option 4 is the correct answer.

16

Select the option in which the given figure is embedded. (Rotation is NOT allowed)

  1. ((a))

  2. ((b))

  3. ((c))

  4. ((d))

Show Answer
Answer: ((d))

The option in which the given figure is embedded is,

Hence, option 4 is the correct answer.

17

Select the option in which the following words are related in the same way as the relation of a pair of given words.

Leaves : rustle

  1. ((a))

    Rain : tip-tip

  2. ((b))

    Bell - temple

  3. ((c))

    Jackal : Roar

  4. ((d))

    Drums : Strum

Show Answer
Answer: ((a))

Rain : tip-tip

Pattern followed here is,

Rustle is sound made by leaves.

Similarly,

Tip- Tip is sound made by rain.

Hence, Rain : tip-tip is the correct answer.

18

Seven professionals are standing in a row. A journalist is to the immediate right of a pharmacist and to the immediate left of a teacher. An advocate is on the immediate right of an accountant. The advocate and pharmacist have one person between them. The teacher and a doctor have two persons between them. An architect and the pharmacist have two persons between them. Who is in the middle?

  1. ((a))

    Teacher 

  2. ((b))

    Journalist

  3. ((c))

    Pharmacist

  4. ((d))

    Doctor

Show Answer
Answer: ((c))

Pharmacist

Persons: Journalist, Pharmacist, Teacher, Advocate, Accountant, Doctor, Architect

(Considering all are facing north direction)

  1. A journalist is to the immediate right of a pharmacist and to the immediate left of a teacher.

  2. An advocate is on the immediate right of an accountant.

  3. The advocate and pharmacist have one person between them.

  1. The teacher and a doctor have two persons between them.

  2. An architect and the pharmacist have two persons between them.

So, Pharmacist sits in the middle.

Hence, Pharmacist is the correct answer.

19

If each of the letters in the English alphabet is assigned odd numerical value beginning with A = 1, B = 3 and so on, what will be the total value of the letters of the word NOMINAL?

  1. ((a))

    149

  2. ((b))

    144

  3. ((c))

    146

  4. ((d))

    150

Show Answer
Answer: ((a))

149

According to the given information :

According to the given information, the alphabets are coded as,

N → 27, O → 29, M → 25, I → 17, N → 27, A → 1 and L → 23

NOMINAL → 27 + 29 + 25 + 17 + 27 + 1 + 23 = 149

NOMINAL ‘s value is 149.

Hence, “149” is the correct answer.

20

In the Venn diagram given below, the circle represents ‘North Indian’, the triangle represents ‘Pianists’, the rectangle represents ‘Males’ and the square represents ‘Engineers’. The numbers given in the diagram represents number of persons of that particular category. Who among the following is a female- North Indian- Engineer?

  1. ((a))

    5

  2. ((b))

    3

  3. ((c))

    2

  4. ((d))

    7

Show Answer
Answer: ((b))

3

The shaded part represents a female, North Indian, Engineer.

‘3’ represents a female, North Indian, Engineer.

Hence, “3” is the correct answer.

21

Select the Venn diagram that best represents the relationship between the following classes.

Copper, Metal, Iron

  1. ((a))

  2. ((b))

  3. ((c))

  4. ((d))

Show Answer
Answer: ((c))

Copper and Iron are two separate metals.

Hence, option 3 is correct answer.

22

If ‘ + ’ means ‘-‘, ‘-‘ means ‘ × ’, ‘ × ’ means ‘÷’ and ‘÷’ means ‘ + ’, then what will be the value of the following expression?

27 – 2 + 24 × 8 ÷ 4

  1. ((a))

    55

  2. ((b))

    45

  3. ((c))

    51

  4. ((d))

    50

Show Answer
Answer: ((a))

55

According to given conditions:

Symbol+-×÷
Meaning-×÷+
<br>

Equation will become:

= 27 × 2 – 24 ÷ 8 + 4

= 27 × 2 – 3 + 4

= 54 – 3 + 4 

= 58 - 3

= 55

Hence, "55" is the correct answer.

23

Select the figure that will come next in the following figure series. 

  1. ((a))

  2. ((b))

  3. ((c))

  4. ((d))

Show Answer
Answer: ((b))

The pattern followed is,

The ‘#’ is moving in anti-clockwise direction at 90° and ‘O’ is just moving 180°.

The figure which will come next is,

Hence, option 2 is correct answer.

24

Four letter-cluster have been given out of which three are alike in some manner, while one is different. Choose the odd one.

  1. ((a))

    Error

  2. ((b))

    Repair

  3. ((c))

    Fault

  4. ((d))

    Mistake

Show Answer
Answer: ((b))

Repair

The followed here is,

Error, Fault and Mistake are synonyms of each other whereas Repair is not.

Hence, Repair is the correct answer.

25

Ameeta walks 20 m towards the north from her home and then turns right and walks 30 m. Then she turns left and walks 25 m. After that she turns right and walks 30 m. From there, she turns right and walks 65 m. Then she again turns left and walks 40 m. She finally turns left and walks 20 m. How far is she from her home now and in which direction with reference to her home?

  1. ((a))

    20 m, West

  2. ((b))

    100 m, East

  3. ((c))

    20 m, East

  4. ((d))

    40 m, South

Show Answer
Answer: ((b))

100 m, East

Drawing the diagram according to the given information,

She is ‘100 m, east’ with reference to her home.

Hence, “100 m, east” is the correct answer.

26

Which two signs need to be interchanged to make the following equation correct?

45 – 9 ÷ 3 + 5 × 6 = 32

  1. ((a))

    × and + 

  2. ((b))

    ÷ and + 

  3. ((c))

    × and ÷ 

  4. ((d))

    ÷ and - 

Show Answer
Answer: ((d))

÷ and - 

Option 1 → 45 – 9 ÷ 3 × 5 + 6 = 32

51 – 15 ≠  32

Option 2 → 45 – 9 + 3 ÷ 5 × 6 = 32

48.6 – 9 ≠ 32

Option 3 → 45 – 9 × 3 + 5 ÷ 6 = 32

45.83 – 27 ≠ 32

Option 4 → 45 ÷ 9 – 3 + 5 × 6 = 32

35 – 3 = 32

Hence, option 4 is correct answer.

27

Select the Venn diagram that best represents the relationship between the following classes.

Flowers, Stems, Roots

  1. ((a))

  2. ((b))

  3. ((c))

  4. ((d))

Show Answer
Answer: ((c))

Flowers, stems and roots are found in plants.

The correct Venn diagram representation is,

Hence, option 3 is the correct answer.

28

Select the figure that will come next in the following figure series.

  1. ((a))

  2. ((b))

  3. ((c))

  4. ((d))

Show Answer
Answer: ((c))

The pattern followed is,

The ‘>’ symbol moves clock - wise for every image.

The symbol ‘→’ moves anti - clockwise for every image.

The symbol ‘o’ keeps on increasing by one for every image.

The image which will come next in the series is,

Hence, option 3 is the correct answer.

29

In a certain code language, O is written as R, R is written as A, A is written as I, I is written as N, N is written as E, E is written as P, P is written as T, C is written as M and L is written as L. How will PORCELAIN be written as in that language?

  1. ((a))

    ERAMPLINT

  2. ((b))

    TAMRPLINE

  3. ((c))

    PLINETRAM

  4. ((d))

    TRAMPLINE

Show Answer
Answer: ((d))

TRAMPLINE

According to the given information, codes for different letters are,

WordORAINEPCL
CodeRAINEPTML

 

The code for porcelain is,

PORCELAIN → TRAMPLINE

Hence, “TRAMPLINE” is the correct answer.

30

The statements are given followed by two conclusions I and II. Consider the given statements as true and decide which of the given conclusions logically follow/s from the given statements.

Statements:

United Nation has adopted 21st June as world Yoga day. This has promoted India’s glorious tradition all over the world.

Conclusions:

I. Yoga is practiced only on 21st June.

II. More people are coming to India now to practice Yoga.

  1. ((a))

    Neither conclusion I nor II follows.

  2. ((b))

    Only conclusion II follows

  3. ((c))

    Only conclusion I follows

  4. ((d))

    Both conclusions I and II follow.

Show Answer
Answer: ((a))

Neither conclusion I nor II follows.

Conclusion 1: This does not follow, since it is not mentioned that Yoga is practiced only on 21st June, but Yoga day is on 21st June.

Conclusion 2: This does not follow, because it is mentioned in the statement about India’s glorious tradition, but not about people coming to India to practice yoga.

Hence, “neither conclusion 1 nor conclusion 2” follow.

31

Read the given statements and conclusions carefully. Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow(s) from the statements.

Statements:

I. Some appliances are electronic.

II. Some electronics are tube lights.

Conclusions:

I. Some appliances are tube lights.

II. No tube light is an appliance.

  1. ((a))

    Only conclusion I follows.

  2. ((b))

    Neither conclusion I nor II follows.

  3. ((c))

    Only conclusion II follows.

  4. ((d))

    Either conclusion I or II follows.

Show Answer
Answer: ((d))

Either conclusion I or II follows.

Drawing the Venn diagram,

Conclusion 1: Some appliances are tube lights → False (It is possible but not definite)

Conclusion 2: No tube light is an appliance → False (It is possible but not definite)

Hence, “Either conclusions I or II follow” is the correct answer.

32

Four letter-cluster have been given out of which three are alike in some manner, while one is different. Choose the odd one.

  1. ((a))

    QFW

  2. ((b))

    MLY

  3. ((c))

    DGK

  4. ((d))

    ENR

Show Answer
Answer: ((d))

ENR

The pattern followed is,

All follow the same pattern, except ‘ENR’.

Hence, “ENR” is the correct answer.

33

Select the option in which the numbers do NOT share the same relationship as that shared by the given pair of numbers.

(98, 107, 125)

  1. ((a))

    (122, 131, 149)

  2. ((b))

    (319, 328, 346)

  3. ((c))

    (73, 82, 99)

  4. ((d))

    (29, 38, 56)

Show Answer
Answer: ((c))

(73, 82, 99)

The pattern followed is,

98 + 9 = 107, 107 + 18 = 125

Similarly,

Option 1 → 122 + 9 = 131, 131 + 18 = 149

Option 2 → 319 + 9 = 328, 328 + 18 = 346

Option 3 → 73 + 9 = 82, 82 + 17 = 99

Option 4 → 29 + 9 = 38, 38 + 18 = 56

All follow the same pattern, except ‘(73, 82, 99)’.

Hence, “(73, 82, 99)” do NOT share the same relationship as that shared by the given pair of numbers.

34

Select the option that will fill in the blank and complete the given series.

6, 10, 19, 35, 60, ____.

  1. ((a))

    98

  2. ((b))

    95

  3. ((c))

    93

  4. ((d))

    96

Show Answer
Answer: ((d))

96

The pattern followed is,

Hence, “96” is the correct answer.

35

Identify the number that is NOT related to the following series.

25, 28, 23, 30, 21, 33

  1. ((a))

    23

  2. ((b))

    21

  3. ((c))

    33

  4. ((d))

    30

Show Answer
Answer: ((c))

33

The pattern followed is,

The last number should be ‘32’, instead of ‘33’.

Hence, “33” is NOT related to the following series.

36

A cube is made by folding a given sheet. In the cube so formed, what would be the symbol on the opposite side of ‘ + ’?

  1. ((a))

  2. ((b))

    %

  3. ((c))

    $

  4. ((d))

    &

Show Answer
Answer: ((d))

&

After folding the given sheet: 

  • is opposite to $

is opposite to %

  • is opposite to &

Hence, & is the correct answer.

37

'Link’ is related to ‘Chain’ in the same way as ‘Bead’ is related to ‘______’.

  1. ((a))

    Sea

  2. ((b))

    Pearl

  3. ((c))

    Jewellery

  4. ((d))

    Necklace

Show Answer
Answer: ((d))

Necklace

A chain is a serial assembly of connected pieces, called links.

Similarly, A necklace is an assembly of connected pieces, called bead.

Hence, Necklace is correct answer.

38

Select the option that is related to the third term in the same way as the second term is related to the first term.

Monk : Monastery : : Knight : ?

  1. ((a))

    Stable

  2. ((b))

    Cottage

  3. ((c))

    Convent

  4. ((d))

    Mansion

Show Answer
Answer: ((d))

Mansion

A monk is a member of religious order who stays in a monastery.

Similarly,

A knight is a man who serves his lord as a soldier.

Knight stays in a mansion.

‘Mansion’ is related to the third term in the same way as the second term is related to the first term.

Hence, “mansion” is the correct answer.

39

Select the option in which the numbers share the same relationship as that shared by the given pair of numbers.

72 - 14

  1. ((a))

    45 - 20

  2. ((b))

    92 - 17

  3. ((c))

    36 - 19

  4. ((d))

    81 - 80

Show Answer
Answer: ((a))

45 - 20

The pattern followed is,

7 × 2 - 14

Similarly,

Option 1 → 4 × 5 - 20

Option 2 → 9 × 2 is 18, not 17

Option 3 → 3 × 6 is 18, not 19

Option 4 → 8 × 1 is 8, not 80

’45 - 20’ share the same relationship as that shared by the given pair of numbers.

Hence, “45 - 20” is the correct answer.

40

Select the option that is related to the third number in the same way as the second number is related to the first number.

104 : 117 :: 216 : ?

  1. ((a))

    243

  2. ((b))

    245

  3. ((c))

    234

  4. ((d))

    342

Show Answer
Answer: ((a))

243

The pattern followed is,

104 : 117 = 13 × 8 : 13 × 9

Similarly,

216 : ? = 27 × 8 : 27 × 9 = 216 : 243

‘243’ that is related to the third number in the same way as the second number is related to the first number.

Hence, “243” is the correct answer.

41

Select the option that is related to the fifth number in the same way as the second number is related to the first number and the fourth number is related to the third number.

14 : 98 : : 18 : 162 : : 26 : ?

  1. ((a))

    328

  2. ((b))

    345

  3. ((c))

    262

  4. ((d))

    338

Show Answer
Answer: ((d))

338

The pattern followed is,

14 × 7 = 98

So,

14 : 98

18 × 9 = 162

So,

18 : 162

Similarly,

26 × 13 = 338

So,

26 : 338

Hence, “338” is the correct answer.

42

Four pairs of letter-cluster have been given out of which three are alike in some manner, while one is different. Choose the odd one.

  1. ((a))

    QSU - JHF

  2. ((b))

    EGI - VTR

  3. ((c))

    NOQ - MLK

  4. ((d))

    BEG - YVT

Show Answer
Answer: ((c))

NOQ - MLK

The pattern followed is,

All follow the same pattern, except ‘NOQ - MLK’.

Hence, “NOQ - MLK” is the correct answer.

43

Four pairs of numbers have been given, out of which three are alike in some manner,

while one is different. Choose out the odd one.

  1. ((a))

    73 - 79

  2. ((b))

    31 - 41

  3. ((c))

    61 - 71

  4. ((d))

    83 - 97

Show Answer
Answer: ((a))

73 - 79

The pattern followed is,

Option 1→ 73 – 79 are consecutive prime.

Option 2 → 31 – 41, there is one prime number between 31 and 41.

Option 3 → 61 – 71, there is one prime number between 61 and 71.

Option 4 → 83 – 97, there is one prime number between 83 and 97.

Hence, 73 – 79 is the correct answer.

44

Four pairs of numbers have been given, out of which three are alike in some manner, while one is different. Choose out the odd one.

  1. ((a))

    18 : 306

  2. ((b))

    13 : 182

  3. ((c))

    23 : 552

  4. ((d))

    25 : 650

Show Answer
Answer: ((a))

18 : 306

The pattern followed is,

Option 1 → 18 : 306 → 18 : 182 - 18

Option 2 → 13 : 182 → 13 : 132 + 13

Option 3 → 23 : 552 → 23 : 232 + 23

Option 4 → 25 : 650 → 25 : 252 + 25

All follow the same pattern, except ’18: 306’.

Hence, “18 : 306” is the odd one.

45

In the following question, four number pairs are given. The number on left side of (–) is related to the number of the right side of (–) with some Logic/Rule/Relation. Three are similar on basis of same Logic/Rule/Relation. Select the odd one out from the given alternatives.

  1. ((a))

    34 - 289

  2. ((b))

    16 - 64

  3. ((c))

    26 - 168

  4. ((d))

    18 - 81

Show Answer
Answer: ((c))

26 - 168

The pattern followed is,

Option 1 → 34 - 289, 17 × 2 → 172

Option 2 → 16 - 64, 8 × 2 → 82

Option 3 → 26 - 168, 13 × 2 → 13- 1

Option 4 → 18 - 81, 9 × 2 → 92

All follow the same pattern, except ’26 - 168’.

Hence, “26 - 168” is the odd one.

46

Four words have been given out of which three are alike in some manner, while one is different. Choose the odd one.

  1. ((a))

    Car

  2. ((b))

    Bus

  3. ((c))

    Aeroplane

  4. ((d))

    Petrol

Show Answer
Answer: ((d))

Petrol

Car, Bus and Aeroplane are different modes of transport.

Whereas,

Petrol is a liquid which is used for cars and other vehicles.

Hence, “petrol” is the odd one.

47

Select the option that is related to the third term in the same way as the second term is related to the first term.

HOSPITAL : JLWKOMIC ∷ MEDICINE : ?

  1. ((a))

    OBHDIBVW

  2. ((b))

    PBIHBWV

  3. ((c))

    PCHDIBHWV

  4. ((d))

    OBHDIBVV

Show Answer
Answer: ((d))

OBHDIBVV

The pattern followed is,

Similarly, 

Hence, ‘OBHDIBVV’ is the correct answer.

48

Select the option that will fill in the blank and complete the given series.

CDZ, DGE, EJJ, FMO, GPT,____

  1. ((a))

    HSY

  2. ((b))

    HRZ

  3. ((c))

    GRY

  4. ((d))

    IQX

Show Answer
Answer: ((a))

HSY

The pattern followed is,

Hence, “HSY” is the correct answer.

49

Select the letter that can replace the question mark (?) in the following series.

X, U, P, M, ?, E

  1. ((a))

    K

  2. ((b))

    H

  3. ((c))

    I

  4. ((d))

    J

Show Answer
Answer: ((b))

H

The pattern followed is,

Hence, “H” is the correct answer.

50

Select the option that will fill in the blank and complete the given series.

7, 16, 40, 84, _____, 252

  1. ((a))

    153

  2. ((b))

    149

  3. ((c))

    150

  4. ((d))

    151

Show Answer
Answer: ((a))

153

The pattern followed is,

Hence, “153” is the correct answer.

General Knowledge and General Awareness (50 questions)

51

Who among the following soccer stars bagged the FIFA's Best Men's Player Award 2019?

  1. ((a))

    Cristiano Ronaldo

  2. ((b))

    Neymar da Silva Santos Júnior

  3. ((c))

    Lionel Messi

  4. ((d))

    Luis Suarez

Show Answer
Answer: ((c))

Lionel Messi

Lionel Messi bagged the FIFA's Best Men's Player Award 2019.

  • It was the sixth FIFA best player award for Messi.
  • Megan Rapinoe has won her first FIFA Best Player award for 2019 in the women's category.
  • The ceremony of the FIFA Best Player Awards was presented at legendary Teatro Alla Scala in Milan.
  • He is the captain of Argentina football team and Barcelona team, and plays as forward player.
  • Messi was the highest paid footballer in the world for five years out of six between 2009 and 2014, and in 2019 Forbes ranked the highest paid athlete in the world.
52

Who was the founder of Vakataka dynasty in the third century?

  1. ((a))

    Nagabhata

  2. ((b))

    Vindhyashakti

  3. ((c))

    Pravarasena

  4. ((d))

    Rudrasena

Show Answer
Answer: ((b))

Vindhyashakti

Vindhyashakti was the founder of Vakataka dynasty in the third century.

  • The Vakataka Empire was a dynasty of the Indian subcontinent, starting in the mid-3rd century CE from the Deccan.
  • It was a Brahmin dynasty.
  • It is noted that the Vakatakas were patrons of the arts, architecture, and literature.
  • Under the patronage of emperor Vakataka, Harishena, the rock-cut Buddhist viharas and chaityas of Ajanta Caves (a UNESCO World Heritage Site) were built.
  • Nagabhata I was an Indian king who founded the Pratihara dynasty of imperial Gurjara.
53

In which province of Pakistan the site of Mohenjo Daro is located?

  1. ((a))

    Balochistan

  2. ((b))

    Sindh

  3. ((c))

    Khyber Pakhtunkhwa

  4. ((d))

    Punjab

Show Answer
Answer: ((b))

Sindh

  • The site of the ancient civilization of Mohenjo Daro is located in Sindh, Pakistan.
  • It was one of the largest towns of the ancient Indus Valley Civilisation, and one of the oldest major cities in the world.
  • It is situated in the Larkana District(west of the Indus River) of Sindh province.
  • In 1922, It was discovered by R.D. Banerji who is an officer of the Archaeological Survey of India.
  • Mohenjo-Daro means 'Mound of the dead'.
  • The modern name for the site has been interpreted as "Mound of the Dead Men" in Sindhi.

 

Indus Valley SitesImportance
Dholavira- It is present in Gujarat. - It was divided into 3 parts, unlike other sites that had only 2 parts. - A middle town exists there apart from the lower town.
Lothal- It has an artificial Brick dockyard. - It has pieces of evidence of the earliest cultivation of rice. - It served as a seaport for Indus Valley People.
Mohenjodaro- In Sindhi language, it means “mound of the dead”. - It is the largest of all Indus cities. - The Great Bath is also present here. - A bronze dancing girl and a seal bearing Pashupati are also found here.
54

In which city is the head office of the Insurance Regulatory and Development Authority of India (IRDAI) situated? 

  1. ((a))

    Hyderabad

  2. ((b))

    Mumbai

  3. ((c))

    Kolkata

  4. ((d))

    New Delhi

Show Answer
Answer: ((a))

Hyderabad

Hyderabad is the head office of the Insurance Regulatory and Development Authority of India (IRDAI) situated.

  • It is an independent, legislative body responsible for regulating and promoting the Indian insurance and reinsurance industries.
  • It was established by the Insurance Regulatory and Development Authority Act, 1999 a Parliament Act passed by the Indian government.
  • Headquarters of the organization are in Hyderabad, Telangana where it relocated in 2001 from Delhi.
  • IRDAI is a 10-member body which includes the chairman, five full-time and four part-time members appointed by the Indian government.
  • India's prime minister proposed an insurance registry program that would help policyholders buy and retain insurance policies in electronic form and not on paper.
55

The entire content of a living cell is known as ______ which includes the cytoplasm and the nucleus.

  1. ((a))

    mitochondria

  2. ((b))

    lysosomes

  3. ((c))

    protoplasm

  4. ((d))

    cell membrane

Show Answer
Answer: ((c))

protoplasm

The entire content of a living cell is known as protoplasm which includes the cytoplasm and the nucleus.

Key Points

  • Protoplasm is the living part of a cell enclosed by a plasma membrane.
  • It is composed of a mixture of small molecules like ions, amino acids, monosaccharides and water, and macromolecules like nucleic acids, proteins, lipids, and polysaccharides.
  • Protoplasm was said to occur in two forms: a state of liquid sol or a state of gel-like jelly.
  • In most eukaryotic organisms, the mitochondrion is a double-membrane-bound organelle.
  • A lysosome is an organelle of the membrane-bound cell which contains digestive enzymes.
56

Which botanist is credited with creating one of the first widely used natural systems of plant classification?

  1. ((a))

    Joseph Banks

  2. ((b))

    August Wilhelm Eichler

  3. ((c))

    Joseph Dalton Hooker

  4. ((d))

    Robert Brown

Show Answer
Answer: ((b))

August Wilhelm Eichler

August Wilhelm Eichler is credited with creating one of the first widely used natural systems of plant classification.

  • He was a German botanist, who developed a new plant classification system to reflect the evolution concept.
  • The Eichler System divided the kingdom of the plants into non-floral (Cryptogamae) and floral (Phanerogamae) species.
  • Joseph Banks was a botanist and patron of the natural sciences.
  • The father of geographic botany was Joseph Dalton Hooker.
  • Robert Brown was a botanist whose contribution to plant taxonomy.
57

In 2019, which Indian became the youngest in the world to score a double hundred in 50-overs cricket including List A and ODIs?

  1. ((a))

    Yashasvi Jaiswal

  2. ((b))

    Shubman Gill

  3. ((c))

    Prithvi Shaw

  4. ((d))

    Abbas Ali Baig

Show Answer
Answer: ((a))

Yashasvi Jaiswal

In 2019, Yashasvi Jaiswal became the youngest in the world to score a double hundred in 50-overs cricket including List A and ODIs.

  • Currently, he is an Indian cricket player in India U-19 team.
  • He was bought by Rajasthan Royals to play in IPL 2020 for 2.4 crore (US$ 340,000).
  • Shubman Gill is an Indian cricket player.
  • Prithvi Shaw is a former captain of the Indian U-19 team, currently Indian team player.
  • Abbas Ali Baig is a former Indian cricket player.
58

Who among the following British Prime Ministers had announced the Communal Award in 1932 during India’s Freedom Movement?

  1. ((a))

    Herbert Henry Asquith

  2. ((b))

    Andrew Bonar Law

  3. ((c))

    David Lloyd George

  4. ((d))

    James Ramsay MacDonald

Show Answer
Answer: ((d))

James Ramsay MacDonald

James Ramsay MacDonald had announced the Communal Award in 1932 during India’s Freedom Movement.

  • He was the Prime Minister of United Kingdom from 1929 to 1935.
  • He was the first labour party politician who become the Prime Minister.
  • The Communal Award was given on 16 August 1932 by him, awarding separate electorates in India for the Forward Caste, Scheduled Caste, Hindus, Buddhists, Sikhs, Indian Christians, Anglo-Indians, Europeans and Depressed Classes (now known as the Scheduled Caste) etc.
  • He considered himself as 'a friend of the Indians'.
  • Herbert Henry Asquith was the Prime Minister of UK from 1908 to 1916.
  • Andrew Bonar Law was the Prime Minister of UK from 1922 to 1923.
  • David Lloyd George was the Prime Minister of UK from 1916 to 1922.
59

Which of the following personalities is NOT among the three Indians named in the Time’s 2019 list of 100 most influential people?

  1. ((a))

    Indira Jaising

  2. ((b))

    Arundhati Katju

  3. ((c))

    Menaka Guruswamy

  4. ((d))

    Mukesh Ambani

Show Answer
Answer: ((a))

Indira Jaising

Indira Jaising is NOT among the three Indians named in the Time’s 2019 list of 100 most influential people.

  • She is an Indian lawyer known for her legal work in supporting issues of human rights.
  • In 2018, she was ranked 20th in Fortune magazine's list of 50 World's Greatest Leaders.
  • In April 2019, Arundhati Katju, along with other influential personalities such as Menaka Guruswamy, Xi Jinping, Nancy Pelosi and Hasan Minaj, appeared in Time Magazine's 100 Most Influential People.
60

Which leader of India’s freedom movement was called the ‘Grand Old Man of India’?

  1. ((a))

    Maulana Abul Kalam Azad

  2. ((b))

    Bal Gangadhar Tilak

  3. ((c))

    Lala Lajpat Rai

  4. ((d))

    Dadabhai Naoroji

Show Answer
Answer: ((d))

Dadabhai Naoroji

Dadabhai Naoroji was called the ‘Grand Old Man of India’.

  • He was also known as "Unofficial brand ambassador of India".
  • He was an Indian Parsi scholar, trader, and politician who was a Member of Parliament of the Liberal Party (MP) in the House of Commons of the United Kingdom between 1892 and 1895, and the first Indian to become a British MP.
  • His book Poverty and Un-British rule in India drew attention to the drainage of the riches of India into Britain.
  • Maulana Abul Kalam Azad became First Minister of Education, Minister of Human Resource Development in the Indian Government.
  • Bal Gangadhar Tilak was called the "The Maker of Modern India" by Mahatma Gandhi.
61

Which of the following nutrients stores maximum energy per gram?

  1. ((a))

    Vitamins

  2. ((b))

    Proteins

  3. ((c))

    Fat

  4. ((d))

    Roughage

Show Answer
Answer: ((c))

Fat

  • Fat is a nutrient which stores maximum energy per gram.
  • Fats along with carbohydrates and proteins are one of the three primary macronutrients.
  • Fat molecules consist primarily of atoms of carbon and hydrogen, and hence are hydrophobic, soluble in organic solvents and insoluble in water.
  • For many forms of life, fat is an important food, and fats serve both structural and metabolic functions.
  • They are an essential part of the diet of most heterotrophs (including humans), and they are the most energy-dense form of energy storage, thus the most effective form.
62

Who among the following was the first army officer of Independent India to be conferred the rank of Field Marshal?

  1. ((a))

    Om Prakash Malhotra

  2. ((b))

    Gopal Gurunath Bewoor

  3. ((c))

    Tapishwar Narain Raina

  4. ((d))

    Sam Manekshaw

Show Answer
Answer: ((d))

Sam Manekshaw

Sam Manekshaw was the first army officer of Independent India to be conferred the rank of Field Marshal.

  • He was the Indian Army's Chief of Staff during the 1971 Indo-Pakistani War.
  • His military career spanned four decades and five wars, beginning with service in World War II for the British Indian Army.
  • He had been awarded the Military Cross for gallantry in World War II.
  • Om Prakash Malhotra was the 13th chief of Army Staff of the Indian Army.
  • Gopal Gurunath Bewoor was the 9th chief of Army Staff of the Indian Army.
63

In which state is the Sarhul festival celebrated?

  1. ((a))

    Gujarat

  2. ((b))

    Chhattisgarh

  3. ((c))

    Assam

  4. ((d))

    Jharkhand

Show Answer
Answer: ((d))

Jharkhand

  • Sarhul festival is celebrated in Jharkhand.
  • It is celebrated by the tribes of Jharkhand like Oraon, Munda, and Ho tribes.
  • Celebrated annually in the first month of the Hindu calendar, on the fortnight of "Chaitra".
  • Sarhul marks the start of the spring season or "Phaagun" and is celebrated until June or "Jeth."
  • Sarhul means the worship of trees.
  • It is a festival held in Jharkhand in the spring. "Sar" refers to the year, and means set to start with "hul".
  • Other famous festivals of Jharkhand are:
  • Karam/ Karma
  • Tusu Parab or Makar
  • Bhagta Parab
  • Sohrai

Additional Information Gujaarat: 

  • Kite Festival
  • Navaratri Festival
  • rann Utsav
  • Modhera dance festival

Assam:

  • Bihu Festival
  • Me-Dum-Me-Phi
  • Majuli Festival
  • Dehing Patkai Festival
  • Kaziranga Elephant Festival

Chattisgarh:

  • Bastar Dussehra
  • Bhoramdeo Mahotsav Festival
  • Rajim Kumbh Mela
  • Madai Festival
  • Kajari Festival.
64

The Indian Administrative Service and the Indian Police Service are deemed to be services created by the Parliament under:

  1. ((a))

    Article 301

  2. ((b))

    Article 307

  3. ((c))

    Article 292

  4. ((d))

    Article 312

Show Answer
Answer: ((d))

Article 312

The correct answer is Article 312.

Key Points

The Indian Administrative Service and the Indian Police Service are deemed to be services created by the Parliament under Article 312.

  • The Civil Services refer to the career bureaucrats which are the Republic of India's permanent executive branch.
  • The constitution under Article 312 grants the Rajya Sabha (the Parliament's upper house) authority to establish new branches of All India Services with a two-thirds majority vote.
  • Article 301 of the Constitution of India about "Freedom of trade, commerce, and intercourse".
  • The Indian Penal code under Article 307.
  • Article 292 of the Constitution of India about "Borrowing by the Government of India".
65

Which among the following former cricketers has been elected unopposed as the President of BCCI in 2019?

  1. ((a))

    Sourav Ganguly

  2. ((b))

    Sunil Gavaskar

  3. ((c))

    Dilip Vengsarkar

  4. ((d))

    Sachin Tendulkar

Show Answer
Answer: ((a))

Sourav Ganguly

Sourav Ganguly has been elected unopposed as the President of BCCI in 2019.

  • He was a former Indian cricket player and also a former Indian team captain.
  • He was the Chairman of the Bengal Cricket Association, the governing body for cricket in West Bengal, India, before being elected President of BCCI.
  • Sunil Gavaskar is a former international Indian cricketer who played for the Bombay cricket team and Indian national team from the early 1970s to the late 1980s.
  • Dilip Vengsarkar is a cricket administrator and a former cricketer.
  • Sachin Tendulkar is a former Indian international cricketer and a former Indian national team captain.
66

Which one of the following is NOT a natural fibre?

  1. ((a))

    Terylene

  2. ((b))

    Wool

  3. ((c))

    Flax

  4. ((d))

    Jute

Show Answer
Answer: ((a))

Terylene

Terylene is NOT a natural fibre.

  • It is a synthetic polyester fibre formed by the petroleum-derived polymerizing ethylene glycol and terephthalic acid.
  • It was first produced by chemist J R Whinfield in 1941.
  • Terylene is a brand of the first polyester fabric ever made for a synthetic fabric.
  • Wool is a natural material produced by the sheep and it used for clothing.
  • Jute is produced from plants.
  • Flax is a fibre crop.
67

Which of the following Indian wrestler has been ranked world number one in 86 kg category in the rankings issued in September 2019 by the International Wrestling Federation?

  1. ((a))

    Bajrang Punia

  2. ((b))

    Rahul Aware

  3. ((c))

    Ravi Dahiya

  4. ((d))

    Deepak Punia

Show Answer
Answer: ((d))

Deepak Punia

Deepak Punia has been ranked world number one in 86 kg category in the rankings issued in September 2019 by the International Wrestling Federation.

  • He is an Indian freestyle wrestler who won the silver medal in the freestyle 86 kg category at the 2019 World Wrestling Championships and won a place in the Summer Olympics 2020.
  • He is the first Indian in 18 years to win a Junior World Championship title.
  • Bajrang Punia is also an Indian freestyle wrestler.
  • Rahul Aware is an Indian freestyle wrestler who competes in the 57 kg category of men's freestyle.
  • Ravi Dahiya is also an Indian freestyle wrestler who won bronze in World Wrestling Championship.
68

Which Indian state has the second highest population after Uttar Pradesh as per Census 2011?

  1. ((a))

    Bihar

  2. ((b))

    West Bengal

  3. ((c))

    Maharashtra

  4. ((d))

    Madhya Pradesh

Show Answer
Answer: ((c))

Maharashtra

The correct answer is Maharashtra.

Maharashtra has the second-highest population after Uttar Pradesh as per Census 2011.

  • Next to UP, Maharashtra with a population of 11,23,72,972 is India's second-largest state in terms of population size and Bihar with 10,38,04,637 is in the third position.
  • Maharashtra ranks 21st in India in terms of growth rate.
  • Mumbai's negative growth rate in 2011 was -5.75 per cent.
  • Thane is the biggest district with population 1,10,54,131.
69

The blood vessels that carry blood from the heart to the various parts of the body are called ________.

  1. ((a))

    Arteries

  2. ((b))

    Veins

  3. ((c))

    Septum

  4. ((d))

    Capillaries

Show Answer
Answer: ((a))

Arteries

The correct answer is Arteries.

Key Points

  • The blood vessels that carry blood from the heart to the various parts of the body are called Arteries.
  • The main artery is the aorta, the principal high-pressure duct linked to the left ventricle of the heart.
  • The smaller branches of the arteries are called capillaries and arterioles.
  • Veins are vessels of the blood which carry blood to the heart.
  • The septum is the cartilage that divides the heart into right and left chambers, this prevents the mixing of blood.

Additional Information

ArteriesVeinsCapillaries
Valves are absent.Valves are present.Valves are absent.
Their wall is thicker.Their wall is thin.Their wall is very thin.
Carry blood away from the heart.Carry blood towards the heart.Tiny vessels that connect arteries to veins.
Their blood pressure is high.Their blood pressure is low.Their blood pressure is very low.
Pulse can be felt in this.They have no pulse.They have no pulse.

70

In which of the following states is Kardang Monastery situated?

  1. ((a))

    Sikkim

  2. ((b))

    Himachal Pradesh

  3. ((c))

    Karnataka

  4. ((d))

    West Bengal

Show Answer
Answer: ((b))

Himachal Pradesh

Himachal Pradesh is situated in Kardang Monastery.

  • It is a famous monastery of the Drukpa Lineage, and the most important monastery of the Lahaul Valley, India.
  • The nearby Kardang village once became the capital of Lahaul.
  • It is located on a ridge below the Rangcha peak of 15,000 feet (4,572 metres), at an altitude of 3,500 meters on the left bank of the river Bhaga, facing Keylong city.
  • The monastery has a number of books and articles from very old times.
71

Fatwa-i-Alamgiri, a digest of Muslim laws, was written during the period of which of the following kings?

  1. ((a))

    Nadir Shah

  2. ((b))

    Aurangzeb

  3. ((c))

    Tipu Sultan

  4. ((d))

    Feroz Shah Tughlaq

Show Answer
Answer: ((b))

Aurangzeb

Fatwa-i-Alamgiri, a digest of Muslim laws, was written during the period of Aurangzeb.

  • It is a compilation focused on sharia statecraft, general ethics, military strategy, economic policy, justice and punishment which served as the rule and main governing body of the Mughal Empire during the reign of the Mughal emperor Muhammad Muhiuddin Aurangzeb Alamgir.
  • The compilation has been widely regarded as one of Islamic jurisprudence's most well-organized works.
  • The collection includes verses from the Quran, accompanied by accounts from Hadith, including those from Sahih al-Bukhari, Sahih Muslim, Sunan Abu Dawood, and at-Tirmidhi's Jami.
  • Aurangzeb was the sixth Mughal emperor.
72

As per Census 2011, which state of India has the lowest sex ratio, i.e., number of females per 1000 males?

  1. ((a))

    Uttarakhand

  2. ((b))

    Haryana

  3. ((c))

    Bihar

  4. ((d))

    Maharashtra

Show Answer
Answer: ((b))

Haryana

As per Census 2011, Haryana has the lowest sex ratio, i.e., the number of females per 1000 males.

  • The sex ratio is a valuable source for identifying the female population in India and what is the ratio between women and men in India.
  • It was revealed in the 2011 Population Census that the Indian population ratio 2011 is 943 females per 1000 males.
  • Haryana has India's lowest sex ratio and the figure shows a number of 877 females to 1000 males.
  • Puducherry and Kerala where there are more women than men.
  • Kerala has India's highest sex ratio and the figure shows a number of 1084 females to 1000 males.
73

The Prime Minister and the other Ministers of the Indian Union are appointed by the President under ______ of the Constitution of India.

  1. ((a))

    Article 70

  2. ((b))

    Article 79

  3. ((c))

    Article 75

  4. ((d))

    Article 85

Show Answer
Answer: ((c))

Article 75

The Prime Minister and the other Ministers of the Indian Union are appointed by the President under Article 75 of the Constitution of India.

  • The Part V of the Constitution (Union) deals with President, Vice-President, Council of Ministers (COM) headed by Prime Minister and Attorney General.
  • According to Article 75The President appoints the Prime Minister, and the other Ministers are appointed by the President on the recommendation of the Prime Minister.
  • The total number of ministers, including the Prime Minister, shall not exceed 15% of the total number of members of the People's House in the Council of Ministers.
  • The ministers shall hold office at the President's pleasure.
74

As of October 2019, which of the following nations is at the top of the ICC World Test Championship table?

  1. ((a))

    India

  2. ((b))

    Australia

  3. ((c))

    South Africa

  4. ((d))

    England

Show Answer
Answer: ((a))

India

As of October 2019, India is at the top of the ICC World Test Championship table.

  • It started with the first Test of the 2019 Ashes series from 1 August 2019 and will finish with a final in June 2021 at Lord's in England.
  • This includes nine out of the twelve competing nations, each playing a Test series against six of the other eight countries.
  • Each team will play 6 other teams, 3 at home and 3 away.
  • Marnus Labuschagne has highest runs(1249) in this championship while pat Cummins is highest wicket(49), taker.
75

What is the minimum amount of monthly pension permissible under the Atal Pension Yojana?

  1. ((a))

    Rs. 4000

  2. ((b))

    Rs. 1000

  3. ((c))

    Rs. 2000

  4. ((d))

    Rs. 3000

Show Answer
Answer: ((b))

Rs. 1000

Rs. 1000 is the minimum amount of monthly pension permissible under the Atal Pension Yojana.

  • Atal Pension Yojana(APY) is a government-guaranteed pension scheme and is managed by the Regulatory and Development Authority (PFRDA) of the Pension Fund.
  • Under Atal Pension Yojana, subscribers receive a minimum guaranteed pension, depending on their contributions.
  • Atal Pension Yojana fund, a pension scheme specifically targeted at the unorganized sector, also qualifies for income tax benefits.
  • Atal Pension Yojana's subscriber base has already passed the 1 Crore mark.
76

Which of the following statements is correct?

  1. ((a))

    The first Lok Sabha was constituted in 1952.

  2. ((b))

    The first Lok Sabha was constituted in 1947.

  3. ((c))

    The first Lok Sabha was constituted in 1950.

  4. ((d))

    The first Lok Sabha was constituted in 1948.

Show Answer
Answer: ((a))

The first Lok Sabha was constituted in 1952.

  • The first Lok Sabha was constituted in 1952.
  • After India's first general election, the First Lok Sabha was constituted on 17 April 1952.
  • The First Session is Lok Sabha began on May 13, 1952.
  • The Lok Sabha must have elected and non-elected members, as provided for in Article 93 of the Constitution of India.
  • The first speaker Lok Sabha was Ganesh Vasudev Mavlankar who elected on 8th May 1952.
  • The first leader of the house was Jahawar Lal Nehru who elected on 30th May 1952.
77

Which British Viceroy of India was associated with the Ilbert Bill enacted in 1884?

  1. ((a))

    Lord Ripon

  2. ((b))

    Lord Dufferin

  3. ((c))

    Lord Northbrook

  4. ((d))

    Lord Napier

Show Answer
Answer: ((a))

Lord Ripon

Lord Ripon was British Viceroy of India associated with the Ilbert Bill enacted in 1884.

  • The Ilbert Act was a bill introduced in 1883 during the Marquess of Ripon's Viceroyship, which was written by Sir Courtenay Ilbert.
  • The bill was eventually enacted as the Criminal Procedure Code Amendment Act 1884 on 25 January 1884.
  • Lord Ripon(George Robinson) was the viceroy of India and Governer-General of India from 1880 to 1884.
  • Ripon introduced legislation during his time in India that would have provided more legal rights to native Indians including the right of Indian judges to try Europeans in court.
  • Lord Dufferin served from 1884 to 1888 as governor-general of India and as viceroy.
  • Lord Northbrook appointed as viceroy of India from 1872 to 1876.
  • Lord Napier was the viceroy of India for 5 months in 1872.
78

The strongest muscle (based on its weight) of the body is the masseter muscle and is located in the:

  1. ((a))

    jaw

  2. ((b))

    hand

  3. ((c))

    chest

  4. ((d))

    thigh

Show Answer
Answer: ((a))

jaw

The strongest muscle (based on its weight) of the body is the masseter muscle and is located in the jaw.

  • The muscle masseter is a facial muscle that plays a major role in the chewing of solid foods.
  • It is a facial muscle that plays a major role in the chewing of solid foods. The muscle has a parallelogram-like shape, binding to the mandible (lower jawbone) and the cheekbone.
  • The muscle's function during the entire muscle's bilateral contraction is to lift the mandible and raise the lower jaw. The elevation of the mandible happens when the jaws are closed.
  • The masseter muscle is the most evident muscle of mastication since it is the most superficial and one of the strongest.
79

The weight of an object on the moon is equal to ______ of its weight on the earth.

  1. ((a))

    1/10th

  2. ((b))

    1/6th

  3. ((c))

    1/8th

  4. ((d))

    1/4th

Show Answer
Answer: ((b))

1/6th

  • The weight of an object on the moon is equal to 1/6th of its weight on the Earth.
  • Weight = (mass) × (acceleration due to gravity of planet)
  • At the surface of the earth
  • Weight = mg
  • At the surface of Moon
  • Weight = mg / 6
  • ∵ Acceleration due to Moon’s gravity = (Acceleration due to Earth’s gravity)/6
  • ∴ Weight on moon = 1/6 × Weight on earth
80

In which of the following parts of the human digestive system is the digestion of food completed?

  1. ((a))

    Small intestine

  2. ((b))

    Large intestine

  3. ((c))

    Mouth

  4. ((d))

    Stomach

Show Answer
Answer: ((a))

Small intestine

The correct answer is option 1, i.e. Small intestine.

The small intestine is the part of the human digestive system is the digestion of food completed.

  • It is an organ in the gastrointestinal tract where most nutrient and mineral absorption from food ends up.
  • It lies between the stomach and the large intestine and absorbs bile and pancreatic juice to help in digestion through the pancreatic duct.
  • There are three distinct regions of the small intestine-duodenum, jejunum, and ileum.
  • The large intestine is the last part of the gastrointestinal tract and of the vertebrate digestive system.
  • In humans, in the right iliac region of the pelvis, the large intestine begins, just at or below the waist.
81

What is the minimum amount which can be remitted through Real Time Gross Settlement (RTGS)?

  1. ((a))

    Rs. 2,00,000

  2. ((b))

    Rs.1,00,000

  3. ((c))

    Rs. 5,00,000

  4. ((d))

    Rs. 3,00,000

Show Answer
Answer: ((a))

Rs. 2,00,000

Rs. 2,00,000 is the minimum amount that can be remitted through Real Time Gross Settlement (RTGS).

  • The acronym "RTGS" stands for Real-Time Gross Settlement, which can be described as a mechanism where fund-transfers are settled continuously and in real-time, individually on a transaction basis (without netting).
  • "Real-Time" means the delivery of instructions at the time of receipt; "Gross Settlement" means the settlement of instructions for the transfer of funds happens separately.
  • The RTGS system is intended specifically for large-value transactions.
  • The minimum amount to be remitted by RTGS is Rs. 2,00,000/- with no limit above or above.
82

Lactometers (used to determine the purity of a sample of milk) and hydrometers (used to determine the density of liquids) are based on the ______ principle.

  1. ((a))

    Archimedes

  2. ((b))

    Special Relativity

  3. ((c))

    Relativity

  4. ((d))

    Uncertainty

Show Answer
Answer: ((a))

Archimedes

Lactometer (used to determine the purity of a sample of milk) and hydrometer (used to determine the density of liquids) are based on the Archimedes principle.

  • Lactometer determines the purity of milk by the density of milk.
  • Hydrometer and Lactometer are based on the density of the substance.
  • The hydrometer basically consists of a weighted, sealed, long-necked glass bulb immersed in the measured liquid; the flotation depth shows the liquid density, and the neck can be calibrated to read the actual gravity value.
83

According to Article 361 of the Constitution of India, a criminal proceeding cannot be instituted in a court against the ______ during his term of office.

  1. ((a))

    Prime Minister

  2. ((b))

    Vice-President

  3. ((c))

    Governor

  4. ((d))

    Chief Minister

Show Answer
Answer: ((c))

Governor

The correct answer is Governor.

According to Article 361 of the Constitution of India, a criminal proceeding cannot be instituted in a court against the Governor during his term of office.

  • The President or Governor, while in the office is not personally responsible for any court for the exercise and execution of their powers.
  • Article 361 makes it clear that any court, tribunal or entity appointed or appointed by any House of Parliament to investigate a complaint pursuant to Article 61 can bring the President's conduct under investigation.
  • Any criminal proceedings cannot be started or continued in any court during its term of office against the President, or the Governor of a State.
  • No court may grant arrest warrants for either President or Governor.
  • Civil proceedings against a Governor or President over actions that he has done in his personal capacity can only be carried out with the prior notice of 2 months.
84

Name the Sikh Guru who developed the Gurmukhi script for writing the Punjabi language?

  1. ((a))

    Guru Ram Das

  2. ((b))

    Guru Hargobind

  3. ((c))

    Guru Tegh Bahadur

  4. ((d))

    Guru Angad

Show Answer
Answer: ((d))

Guru Angad

Guru Angad was the Sikh Guru who developed the Gurmukhi script for writing the Punjabi language.

  • He is the second Sikh guru after the Guru Nanak who is the founder of Sikhism.
  • He started the process of gathering Guru Nanak's hymns, and added 62 of his own hymns.
  • He chose as his successor a Vaishnava Hindu Amar Das and the Sikhism's third Guru.
  • Guru Ram Das was the fourth Sikh Guru.
  • Guru Hargobind was the sixth Nanak of Sikhism(Sixth Sikh Guru).
  • Guru Tegh Bahadur was the ninth Sikh Guru.
85

The part of the stem where a leaf arises is known as:

  1. ((a))

    node

  2. ((b))

    tuber

  3. ((c))

    carpel

  4. ((d))

    bud

Show Answer
Answer: ((a))

node

  • The part of the stem where a leaf arises is known as a node.
  • The leaves occur in the regions of the plant known as the plant nodes and are thus the origin of the leaves being attached.
  • The area between two nodes in the plant is called the internode.
  • Nodes are the sections from which buds, twigs and leaves are produced.
  • The node can be easily identified in the stem as it is a wood stain.
86

Which among the following gases is also known as ‘Laughing Gas’?

  1. ((a))

    Sulphur dioxide

  2. ((b))

    Nitrous oxide

  3. ((c))

    Carbon dioxide

  4. ((d))

    Carbon monoxide

Show Answer
Answer: ((b))

Nitrous oxide

Nitrous oxide is also known as "Laughing Gas".

  • The chemical formula of Nitrous oxide is N2O.
  • It is a colourless, non-flammable gas at room temperature, with a faint metallic smell and taste.
  • It is a potent oxidizer similar to molecular oxygen at elevated temperatures.
  • It has important medical uses for its anesthetic and pain-reducing effects, especially in surgery and dentistry.
  • The name "Laughing Gas" is coined by Humphry Davy.
87

Which among the following is a male part of a flower?

  1. ((a))

    Stigma

  2. ((b))

    Stamen

  3. ((c))

    Pistil

  4. ((d))

    Style

Show Answer
Answer: ((b))

Stamen

Stamen is a male part of a flower.

  • This produces pollen. Pollen is a powder produced from pollen grains, containing seed plant sperm cells.
  • There are two parts of the stamen: anther, and stalk.
  • The anther is composed of microsporangia.
  • The Pistil is the female reproductive part of a flower.
  • A floral style is a stalk which supports the stigma and connects it to the ovary.
88

Musician Sikkil Mala Chandrasekhar is associated with which of the following musical instruments?

  1. ((a))

    Flute

  2. ((b))

    Sitar

  3. ((c))

    Saraswati Veena

  4. ((d))

    Shehnai

Show Answer
Answer: ((a))

Flute

  • Sikkil Mala Chandrasekhar is associated with Flute.
  • She is a south Indian carnatic flautist.
  • She received the title of  "VENUGAANA SIRONMANI" in 2003.
  • In 1990, She received Main Artist award of the Youth Association for Classical Music.
89

The President may proclaim a state of emergency under Article 356 on receipt of a report from the ______ of a state.

  1. ((a))

    Governor

  2. ((b))

    Chief Justice of the High Court

  3. ((c))

    Speaker of the Legislative Assembly

  4. ((d))

    Advocate-General

Show Answer
Answer: ((a))

Governor

  • The President may proclaim a state of emergency under Article 356 on receipt of a report from the Governor of a state.
  • Under Article 356 of the Constitution of India, the central government may take direct control of the state machinery in the event that a state government is unable to function according to constitutional provisions.
  • Executive authority is subsequently exercised by the constitutionally appointed governor, who has the power to select other administrators to assist them.
  • When a state government operates properly, it is run by an elected Council of Ministers.
  • These elected Council of Ministers are accountable to the legislative assembly of the state (Vidhan Sabha).
90

Who among the following has been selected for Padma Vibhushan Award under the category 'Trade and Industry-Infrastructure' for 2019?

  1. ((a))

    Anilkumar Manibhai Naik

  2. ((b))

    Atul Punj

  3. ((c))

    GV Sanjay Reddy

  4. ((d))

    Grandhi Mallikarjuna Rao

Show Answer
Answer: ((a))

Anilkumar Manibhai Naik

Anilkumar Manibhai Naik has been selected for Padma Vibhushan Award under the category 'Trade and Industry-Infrastructure' for 2019.

  • He is an Indian industrialist, philanthropist, and group chairman of the Indian engineering conglomerate Larsen & Toubro Limited, and chairman of the National Skill Development Corporation from 2018 on.
  • In 2009, he was awarded the Padma Bhushan, India's third-highest civilian award.
  • He is also the recipient of the Year Award "Economic Times-Business Leader" for 2008.
  • He is the Honorary Consul General for Denmark.
91

In which ocean is the island country Fiji situated?

  1. ((a))

    Indian Ocean

  2. ((b))

    Arctic Ocean

  3. ((c))

    Atlantic Ocean

  4. ((d))

    Pacific Ocean

Show Answer
Answer: ((d))

Pacific Ocean

The correct answer is option 4 i.e Pacific Ocean,

Fiji is an island situated in the Pacific Ocean.

  • Pacific ocean is the largest and deepest ocean in the world.
  • It extends from the north Arctic Ocean to the south Southern Ocean and is bounded in the west by the continents of Asia and Australia and in the east by the Americas.
  • The Indian Ocean is the 3rd largest ocean in the world.
  • The Arctic Ocean is the smallest and shallowest ocean in the world.
  • The Atlantic ocean is the 2nd largest ocean in the world.
  • The Atlantic ocean is in the shape of S and has the busiest Trade route.
92

Which female golfer has become the youngest Indian woman to win a Ladies European Tour (LET) title?

  1. ((a))

    Diksha Dagar

  2. ((b))

    Aditi Ashok

  3. ((c))

    Amandeep Drall

  4. ((d))

    Vani Kapoor

Show Answer
Answer: ((a))

Diksha Dagar

Diksha Dagar is the female golfer has become the youngest Indian woman to win a Ladies European Tour (LET) title.

  • She was one of the medal winners at the 2017 Summer Deaflympics as part of the Indian delegation, where she clinched a silver medal at the individual women's golf event and also became the first Indian to claim a Deaflympic medal in golf.
  • She became the first Indian to win the South African Women's Open title and the second overall Indian woman to win the Ladies European Tour Title.
  • Aditi Ashok is a professional Indian golfer who has competed in the 2016 Summer Olympics and plays on the Ladies European Tour and the LPGA Tour.
  • Amandeep Drall is also a female golfer.
93

As per Ministry of Statistics and Programme Implementation, which state of India has the highest per capita income as of Sep 2019?

  1. ((a))

    Goa

  2. ((b))

    Punjab

  3. ((c))

    Tamil Nadu

  4. ((d))

    Gujarat

Show Answer
Answer: ((a))

Goa

As per Ministry of Statistics and Programme Implementation, Goa has the highest per capita income as of Sep 2019.

  • Among 33 Indian states and union territories, Goa has the highest per capita revenue.
  • Capital Delhi is India's second-richest economy. North East Sikkim State is in third place followed by Chandigarh and Haryana.
  • All Top Four States / UTs have less than 20 million in population. And there is a population below 3 crore in the fifth richest country.
  • The per capita GDP of all five South Indian states is higher than the average for India.
  • Goa is also known as the 'Pearl of the Orient'.
94

Who among the following is the author of the book 'What happened'?

  1. ((a))

    Shashi Tharoor

  2. ((b))

    Hillary Clinton

  3. ((c))

    Jean Dreze

  4. ((d))

    Shimon Peres

Show Answer
Answer: ((b))

Hillary Clinton

Hillary Clinton is the author of the book "What happened".

  • This about Hillary Clinton experiences as the Democratic Party's nominee and general election candidate for President of the United States in the 2016 election.
  • It is her seventh book with her publisher**, Simon & Schuster, published on September 12, 2017.**
  • Between 1993 to 2001 she served as the U.S. First Lady, between 2001 to 2009 as a U.S. senator from New York, and from 2009 to 2013 as the 67th U.S. Secretary of State.
  • She was the first woman in a US presidential election to win the popular vote, which she lost to Donald Trump.
95

Which state is the largest producer of mica in India?

  1. ((a))

    Madhya Pradesh

  2. ((b))

    Rajasthan

  3. ((c))

    Jharkhand

  4. ((d))

    Andhra Pradesh

Show Answer
Answer: ((d))

Andhra Pradesh

Andhra Pradesh is the largest producer of mica in India.

  • In Andhra Pradesh, Nellore district is famous for mica production.
  • India remains at 8th position in the list of the world's largest mica producers.
  • With an estimated output of 6635 tons of mica in 2013-14, Rajasthan has occupied second place.
  • The mica group of sheet silicate minerals contains a variety of closely related materials with almost complete basal cleavage.
96

As per Union Budget 2019-20, Indian economy is globally the ______ largest in Purchasing Power Parity (PPP) terms.

  1. ((a))

    fifth

  2. ((b))

    second

  3. ((c))

    third

  4. ((d))

    fourth

Show Answer
Answer: ((c))

third

The correct answer is option 3, i.e. third.

As per Union Budget 2019-20, the Indian economy is globally the third-largest in Purchasing Power Parity (PPP) terms.

  • PPP is an economic theory that compares different countries' currencies through a "basket of goods" approach.
  • On 5 July 2019, Finance Minister Nirmala Sitharaman presented India's Union Budget for 2019–2020.
  • It is announced by the government on the first day of February so that it can materialize before the beginning of the new April financial year.
  • The budget presented through the Finance bill and the Appropriation bill must be passed by Lok Sabha before it can come into effect on April 1st, the start of the financial year for India.
  • Morarji Desai presented ten budgets that are the highest count.
97

The famous dancer T Balasaraswati was an exponent of which of the following dance forms?

  1. ((a))

    Kuchipudi

  2. ((b))

    Bharatanatyam

  3. ((c))

    Kathak

  4. ((d))

    Kathakali

Show Answer
Answer: ((b))

Bharatanatyam

The famous dancer T Balasaraswati was an exponent of Bharatanatyam.

Key Points

  • Bharatanatyam a classical dance style that originated in Tamil Nadu's South Indian state, making this dance style well known in various parts of India and many parts of the world.
  • In 1957 she was awarded the Padma Bhushan and in 1977 the Padma Vibhushan.
  • She received the Sangeetha Kalasikhamani Award from The Indian Fine Arts Society, Chennai, in 1981.
  • She was the only non-western dancer included in a Dance Heritage Coalition compilation, "The Irreplaceable Treasures of Dance in America: The First 100" (2000).
  • Satyajit Ray, Bengali film director, made a documentary film on Balasaraswati called Bala (1976).
98

Which of the following rivers has its origin in Mahabaleshwar?

  1. ((a))

    Kaveri

  2. ((b))

    Narmada

  3. ((c))

    Tapti

  4. ((d))

    Krishna

Show Answer
Answer: ((d))

Krishna

The correct answer is Krishna.

Key Points

  • ​The Krishna River is the fourth largest river in India, after the Ganga, Godavari, and Brahmaputra in terms of water inflows and river basin area.
  • Mahabaleshwar is a historic site and a village in Mahabaleshwar, a district of Satara in Maharashtra state of India.
  • For Maharashtra, Karnataka, Telangana, and Andhra Pradesh, it is one of the major sources of irrigation.
  • The Krishna river originates in the Western Ghats near Mahabaleshwar at an elevation of about 1,300 feet, in the central Indian state of Maharashtra.

Additional Information

RiverOrigin
NarmadaAmarkantak Plateau
TaptiMultai, Betul district of Madhya Pradesh
KaveriBrahmagiri Range of hills in the Western ghats
99

The Finance Commission is constituted by the President at the expiration of every ______ year.

  1. ((a))

    tenth

  2. ((b))

    seventh

  3. ((c))

    sixth

  4. ((d))

    fifth

Show Answer
Answer: ((d))

fifth

The Finance Commission is constituted by the President at the expiration of every fifth year.

  • The Finance Commission was established pursuant to Article 280 of the Indian Constitution by the President of India in 1951.
  • It was formed to define the financial relations between the individual State governments and the Central government of India.
  • In addition, the Finance Commission Act, 1951, specifies the terms of the Finance Commission's qualification, appointment and disqualification, term, eligibility and powers.
  • The Commission is appointed every five years according and consists of a chairman and four other members.
100

______ is the highest peak of the Satpura range.

  1. ((a))

    Jarga

  2. ((b))

    Dhupgarh

  3. ((c))

    Amarkantak

  4. ((d))

    Delwara

Show Answer
Answer: ((b))

Dhupgarh

Dhupgarh is the highest peak of the Satpura range.

  • It is the highest point in Mahadeo Hills, Madhya Pradesh.
  • It has an altitude of 1,352 meters (4,429 ft).
  • The Satpura range rises east through the border of Maharashtra and Madhya Pradesh to the east, up to Chhattisgarh in eastern Gujarat state.
  • The Amarkantak region is a special natural heritage area and is the Vindhya and Satpura Ranges meeting point.

Quantitative Aptitude (50 questions)

101

If a discount of 10% is allowed on the marked price of an article. A shopkeeper gets a profit of 25%. If he offers a discount of 25% on the marked price of the same article, then his percentage profit/loss will be:

  1. ((a))

    4% profit

  2. ((b))

    4164\frac{1}{6}% loss

  3. ((c))

    4164\frac{1}{6}% profit

  4. ((d))

    4% loss

Show Answer
Answer: ((c))

4164\frac{1}{6}% profit

Given:

D1 = 10%

D2 = 25%

Profit percentage = 25%

Calculation:

Let MP of the article be 100.

SP of the article = 100 × 9010090\over100 = 90

CP of the article = 90 × 100125100\over125 = 72

New SP of the article = 100 × 7510075\over100 = 75

Profit percentage = (7572)72(75-72)\over72 × 100 = 4164\frac{1}{6}% profit.

∴ The percentage profit is 4164\frac{1}{6}%.

102

The value of (313;;212);÷;14;of;114310;+;16;×;13of415;÷;13;÷;13;of;1919;×;13;÷;16is;:;\frac{{\left( {3\frac{1}{3}; - ;2\frac{1}{2}} \right); \div ;\frac{1}{4};of;1\frac{1}{4}}}{{\frac{3}{{10}}; + ;\frac{1}{6}; \times ;\frac{1}{3}}}of\frac{4}{{15}}; \div ;\frac{{\frac{1}{3}; \div ;\frac{1}{3};of;\frac{1}{9}}}{{\frac{1}{9}; \times ;\frac{1}{3}; \div ;\frac{1}{6}}}is;:;

  1. ((a))

    4/81

  2. ((b))

    2/9

  3. ((c))

    9/2

  4. ((d))

    27/8

Show Answer
Answer: ((a))

4/81

Calculation:

(313;212);÷;14;of;114310;+;16;×;13;of415;÷;13;÷;13of1919;×;13;÷;16\frac{{\left( {3\frac{1}{3} - {\rm{;}}2\frac{1}{2}} \right){\rm{;}} \div {\rm{;}}\frac{1}{4}{\rm{;of;}}1\frac{1}{4}}}{{\frac{3}{{10}}{\rm{;}} + {\rm{;}}\frac{1}{6}{\rm{;}} \times {\rm{;}}\frac{1}{3}}};of\frac{4}{{15}}; \div ;\frac{{\frac{1}{3}{\rm{;}} \div {\rm{;}}\frac{1}{3}{\rm{of}}\frac{1}{9}}}{{\frac{1}{9}{\rm{;}} \times {\rm{;}}\frac{1}{3}{\rm{;}} \div {\rm{;}}\frac{1}{6}}}

(10352);÷;14;×;54310;+;118;of415;÷;13;÷;13;×;1919;×;13;×;6\frac{{\left( {\frac{{10}}{3} - \frac{5}{2}} \right){\rm{;}} \div {\rm{;}}\frac{1}{4}{\rm{;}} \times {\rm{;}}\frac{5}{4}}}{{\frac{3}{{10}}{\rm{;}} + {\rm{;}}\frac{1}{{18}}}}{\rm{;of}}\frac{4}{{15}}{\rm{;}} \div {\rm{;}}\frac{{\frac{1}{3}{\rm{;}} \div {\rm{;}}\frac{1}{3}{\rm{;}} \times {\rm{;}}\frac{1}{9}}}{{\frac{1}{9}{\rm{;}} \times {\rm{;}}\frac{1}{3}{\rm{;}} \times {\rm{;}}6}}

(20;;156);÷;51627;+;590of415;÷;13;÷;12729\frac{{\left( {\frac{{20{\rm{;}} - {\rm{;}}15}}{6}} \right){\rm{;}} \div {\rm{;}}\frac{5}{{16}}}}{{\frac{{27{\rm{;}} + {\rm{;}}5}}{{90}}}}{\rm{of}}\frac{4}{{15}}{\rm{;}} \div {\rm{;}}\frac{{\frac{1}{3}{\rm{;}} \div {\rm{;}}\frac{1}{{27}}}}{{\frac{2}{9}}}

833290of415;÷;13;×;27;×;92\frac{{\frac{8}{3}}}{{\frac{{32}}{{90}}}}{\rm{of}}\frac{4}{{15}}{\rm{;}} \div {\rm{;}}\frac{1}{3}{\rm{;}} \times {\rm{;}}27{\rm{;}} \times {\rm{;}}\frac{9}{2}

8;×;903;×;32;×;415;÷;812\frac{{8{\rm{;}} \times {\rm{;}}90}}{{3{\rm{;}} \times {\rm{;}}32}}{\rm{;}} \times {\rm{;}}\frac{4}{{15}}{\rm{;}} \div {\rm{;}}\frac{{81}}{2}

⇒ 2 × 2/81

⇒ 4/81

∴ The correct answer is 4/81.

103

In an office, 70% of the total number of employees are females. 80% of the total number of employees, including 35 males, got promotion. If there are 105 female employees, then what percentage of female employees got promotion?

  1. ((a))

    30%

  2. ((b))

    331333\frac{1}{3}%

  3. ((c))

    80.95%

  4. ((d))

    35%

Show Answer
Answer: ((c))

80.95%

Shortcut Trick

Total female employees = 105 (which is 70% of total)

Total employees = 105 ÷ 0.7 = 150

Total promoted = 80% of 150 = 120

Female promoted = Total promoted − Male promoted = 120 − 35 = 85

Required % = (85 ÷ 105) × 100 ≈ 80.95%

∴ The correct answer is 80.95%.

Alternate Method

Given:

Females = 70% of Total Employees = 105

Promoted employees = 80% of Total Employees

Promoted males = 35

Calculations:

⇒ Total employees = (105 ÷ 70) × 100 = 150

⇒ Total promoted employees = 80% of 150 = (80/100) × 150 = 120

⇒ Number of promoted females = Total promoted − Promoted males

⇒ Number of promoted females = 120 − 35 = 85

⇒ Percentage of female employees promoted = (Promoted females ÷ Total females) × 100

⇒ Required % = (85 ÷ 105) × 100 = (17 ÷ 21) × 100 ≈ 80.95%

∴ The correct answer is 80.95%.

Additional Information

Percentage Base Change

Always ensure the denominator (base) is the specific group asked for. Here, the base is total female employees (105), not the total office staff (150).

Percentage Formula

Percentage = (Value ÷ Total Value) × 100. This is the fundamental ratio used to compare parts of a whole.

104

ABCD is cyclic quadrilateral. Sides AB and DC, when produced, meet at E, and sides BC and AD, when produced, meet at F. If ∠BFA = 60° and ∠AED = 30°, then the measure of ∠ABC is:

  1. ((a))

    65°

  2. ((b))

    75°

  3. ((c))

    70°

  4. ((d))

    80°

Show Answer
Answer: ((b))

75°

Shortcut Trick

For a cyclic quadrilateral ABCD where sides AB, DC meet at E and BC, AD meet at F:

∠ABC = [180° + ∠AED − ∠BFA] ÷ 2

∠ABC = [180° + 30° − 60°] ÷ 2

∠ABC = 150° ÷ 2 = 75°

∴ The correct answer is 75°.

Alternate Method

Given: ∠BFA = 60°, ∠AED = 30°

Formula Used: Sum of opposite angles in a cyclic quadrilateral is 180°. Sum of angles in a triangle is 180°.

Let ∠ABC = x and ∠BCD = y.

⇒ In ΔEBC, ∠E + ∠EBC + ∠ECB = 180°

⇒ 30° + (180° − x) + (180° − y) = 180°

⇒ x + y = 210° ... (1)

⇒ In cyclic quad ABCD, ∠ADC = 180° − x.

⇒ In ΔFDC, ∠F + ∠FCD + ∠FDC = 180°

⇒ 60° + (180° − y) + (180° − (180° − x)) = 180°

⇒ 60° + 180° − y + x = 180°

⇒ y − x = 60° ... (2)

⇒ Adding equations (1) and (2): 2y = 270° ⇒ y = 135°

⇒ Subtracting equation (2) from (1): 2x = 150° ⇒ x = 75°

∴ The correct answer is 75°.

Additional Information

Cyclic Quadrilateral Properties

The sum of opposite angles is 180°. The exterior angle at any vertex is equal to the interior opposite angle.

Angle Sum Property

The sum of all interior angles of any triangle is always 180°.

Intersecting Chords Theorem

If two chords intersect inside a circle, the product of the segments of one chord equals the product of the segments of the other (PA × PB = PC × PD).

105

From the top of a lamp post of height x metres, two objects on the ground on the same side of it (and in line with the foot of the lamp post) are observed at angles of depression of 30° and 60°, respectively. The distance between the objects is 32√3 m. The value of x is:

  1. ((a))

    54

  2. ((b))

    48

  3. ((c))

    45

  4. ((d))

    36

Show Answer
Answer: ((b))

48

Given:

CD = 32√3 m

AB = x m

Calculation:

 

In △ABD

tan60 = AB/BD

√3 = x/BD

x = √3BD     ---(1)

In △ABC

tan30 = AB/BC

1/√3 = x/BC

x = BC/√3     ---(2)

From equations (1) and (2)

√3BD = BC/√3

BC = 3BD

BC = CD + BD

3BD = CD + BD

CD = 3BD – BD

CD = 2BD

32√3 = 2BD

BD = 32√3/2 = 16√3

From equation (1),

x = √3 × 16√3 = 48 cm

Shortcut Trick 

2 unit = 32√3

1 unit = 16√3

√3 unit = 16√3 × √3 = 48 m

106

If cosec θ = 1.25, then 4tanθ5cosθ;+;1secθ;+;4cotθ1=?\frac{{4tan\theta - 5\cos \theta ; + ;1}}{{\sec \theta ; + ;4\cot \theta - 1}} = ?

  1. ((a))

    9/11

  2. ((b))

    2

  3. ((c))

    10/11

  4. ((d))

    1/2

Show Answer
Answer: ((c))

10/11

Given:

cosecθ = 1.251001.25\over100545\over4 

4tanθ5cosθ;+;1secθ;+;4cotθ1=?\frac{{4tanθ - 5\cos θ ; + ;1}}{{\sec θ ; + ;4\cot θ - 1}} = ?

Formula Used:

Pythagorean theorem

H2 = P2 + B2

Calculation:

cosecθ = HPH\over P545\over4

H2 = P2 + B2

52 = 42 + B2

B2 = 25 -16 = 9

B = √9 = 3

Now,

4tanθ5cosθ;+;1secθ;+;4cotθ1\frac{{4tanθ - 5\cos θ ; + ;1}}{{\sec θ ; + ;4\cot θ - 1}}

⇒ 4×435×35+153+4×341{{4\times{4\over3}}-{5\times{3\over5}}+1}\over{{5\over3}+4\times{3\over4}-1}

⇒​ 1633+153+31{{16\over3}-3+1}\over{{5\over3}+3-1} = (169+3)(5+93)(16-9+3)\over(5+9-3) = 101110\over11

107

Seven years ago, the ages (in years) of A and B were in the ratio 4 : 5 and 7 years hence, their ages will be in the ratio 5 : 6. What will be the ratio of their ages 5 years from now?

  1. ((a))

    34 : 41

  2. ((b))

    33 : 40

  3. ((c))

    33 : 34

  4. ((d))

    31 : 33

Show Answer
Answer: ((a))

34 : 41

Given:

Seven years ago = 4 : 5

Seven years hence = 5 : 6

Calculation:

Ages ratio of A and B seven years ago = 4x : 5x

According to the question,

⇒ (4x + 14)/(5x + 14) = 5/6

⇒ 6(4x + 14) = 5(5x + 14)

⇒ 24x + 84 = 25x + 70

⇒ 25x – 24x = 84 – 70

⇒ x = 14

Seven years ago age of A = 4 × 14 = 56

5 years after the age of A = 56 + 12 = 68

Seven years ago age of B = 5 × 14 = 70

5years hence age of B = 70 + 12 = 82

Ratio of ages of A to that of B = 68 : 82 = 34 : 41

∴ The correct answer is 34 : 41.

Alternate Method

⇒ 1 unit = 14

⇒ 4 unit = 4 × 14 = 56

⇒ 5 unit = 5 × 14 = 70

Seven years ago age of A = 56

5 years after the age of A = 56 + 12 = 68

Seven years ago age of B = 70

5years hence age of B = 70 + 12 = 82

Ratio of ages of A to that of B = 68 : 82 = 34 : 41

Directions: Study the given pie chart and answer the question that follows.

108

If the ratio of the number of boys to that of girls in school C is 6 : 5 and that in school B is 7 : 11, then what is the ratio of the number of boys in school C to the number of girls in school B?

  1. ((a))

    10 : 11

  2. ((b))

    11 : 10

  3. ((c))

    12 : 11

  4. ((d))

    11 : 12

Show Answer
Answer: ((c))

12 : 11

Calculation:

Total number of boys of college C = 79.2 × (6/11)

Total number of girls of college B = 64.8 × (11/18)

Required ratio = [79.2 × (6/11)] : [64.8 × (11/18)] = 12 : 11

109

The average of eleven numbers is 68. The average of the first four numbers is 78 and that of the next four numbers is 63. The 9th number is two times the 11th number and the 10th number is 4 less than the 11th number. What is the average of the 9th and 11th numbers?

  1. ((a))

    70.1

  2. ((b))

    72.2

  3. ((c))

    70.5

  4. ((d))

    72.6

Show Answer
Answer: ((c))

70.5

Given:-

Average of 11 numbers = 68

Average of first 4 numbers = 78

Average of next 4 numbers = 63

Formula used:-

Average = (Sum of values)/No. of values

Calculation:-

Average of 1 numbers = 68

Sum of 11 numbers = 68 × 11 = 748

Average of 4 numbers = 78

Sum of 4 numbers = 78 × 4 = 312

Average of next 4 numbers = 63

Sum of next 4 numbers = 63 × 4 = 252

Sum of 9th, 10th and 11th numbers

748 – 312 – 252 = 184

Let 11th number be x

9th number = 2x

10th number = x – 4

According to the question

x + 2x + x – 4 = 184

4x = 184 + 4 = 188

x = 47

11th number = 47

9th number = 2 × 47 = 94

Average of 9th number = (47 + 94)/2 = 141/2 = 70.5

Alternate Method

Average of 11 number = 68

Deviation of first 4 number = (68 – 78) × 4 = (-40)

Deviation of next 4 number = (68 – 63) × 4 = 20

Sum of 9th, 10th and 11th numbers = 3 × 68 – 40 + 20 = 184

According to the question

x + 2x + x – 4 = 184

4x = 184 + 4 = 188

x = 47

11th number = 47

9th number = 2 × 47 = 94

Average of 9th number = (47 + 94)/2 = 141/2 = 70.5

110

If 2sinθ + 15cos2θ = 7, 0° < θ < 90° then what is the value of 3tanθ2;+;tanθ?\frac{{3 - tan\theta }}{{2; + ;tan\theta }}?

  1. ((a))

    1/4

  2. ((b))

    3/4

  3. ((c))

    1/2

  4. ((d))

    5/8

Show Answer
Answer: ((c))

1/2

Given:-

2sin θ + 15cos2θ = 7

Calculation:-

2sin θ + 15(1 – sin2θ) = 7

2sin θ + 15 – 15sin2θ – 7 = 0

15sin2θ – 2sinθ – 8 = 0

15sin2θ – 12sinθ + 10sinθ – 8 = 0

3sinθ(5sinθ – 4) + 2(5sinθ – 4) = 0

(3sinθ + 2) (5sinθ – 4) = 0

Taking,

3sin θ + 2 = 0

sin θ = -2/3 (Not possible)

Taking,

(5sin θ – 4) = 0

sin θ = 4/5

Perpendicular = P, Hypotenuse = H and Base = B

sin θ = P/H = 4/5

H2 = P2 + B2

52 = 42 + B2

B2 = 25 – 16 = 9

B = √9 = 3

tan θ = P/B = 4/3

Now,

(3 – tan θ)/(2 + tan θ)

(3 – 4/3)/(2 + 4/3)

5/10

1/2

111

The value of 8 ÷ [(9 – 5) ÷ {(4 ÷ 2 of 4) – (8 ÷ 8 of 16) + (4 × 2 ÷ 8)}] is:

  1. ((a))

    21/8

  2. ((b))

    23/8

  3. ((c))

    12/23

  4. ((d))

    32/23

Show Answer
Answer: ((b))

23/8

Given:

8 ÷ [(9 – 5) ÷ {(4 ÷ 2 of 4) – (8 ÷ 8 of 16) + (4 × 2 ÷ 8)}]

Concept;

Follow the BODMAS rule according to the table given below:

Calculation;

8 ÷ [(9 – 5) ÷ {(4 ÷ 2 of 4) – (8 ÷ 8 of 16) + (4 × 2 ÷ 8)}]

⇒ 8 ÷ [4 ÷ {(4 ÷ 8) – (8 ÷ 128) + (4 × 2 × 181\over8)}]

⇒ 8 ÷ [4 ÷ {(4 × 181\over8) – (8 × 11281\over128) + 1}]

⇒ 8 ÷ [4 ÷ {121\over21161\over16 + 1}]

⇒ 8 ÷ [4 ÷ {81+1616{8-1+16}\over16}]

⇒ 8 ÷ [4 ÷ (231623\over16)]

⇒ 8 ÷ (4 × 162316\over23)

⇒ 8 ÷ (642364\over23)

⇒ 8 × 236423\over64 = 23823\over8

112

The speed of train A is 16 km/h less than the speed of train B. To cover a distance of 384 km, B takes 4 hours less time than A. What is the speed (in km/h) of train B?

  1. ((a))

    50

  2. ((b))

    45

  3. ((c))

    48

  4. ((d))

    32

Show Answer
Answer: ((c))

48

Given:

Speed of train B - Speed of train A = 16 km/h

Distance = 384 km

Time of A - Time of B = 4 hours

Calculation:

Let speed of Train B be x km/hr.

⇒ Speed of Train A = (x – 16) km/hr

According to the question,

{384/(x – 16)} – {384/x} = 4

384[(x – x + 16)/{x(x – 16)}] = 4

384 × 16/(x– 16x) = 4

384 × 4 = x2 – 16x

x2 – 16x – 1536 = 0

x2 – 48x + 32n – 1536 = 0

x(x – 48) + 32(x – 48) = 0

(x – 48) (x + 32) = 0

Taking ,

x + 32 = 0

x = -32 [Speed can not be negative]

Taking,

x – 48 = 0

x = 48

∴ Speed of Train B is 48 km/hr.

Shortcut Trick With the help of option

Let speed of train B be 48 km/hr

384/32 – 384/48 = 4

12 – 8 = 4

4 = 4 (Satisfied)

113

In right angle ΔABC, AB = c cm, AC = b cm and CB = a cm. If ∠ A = 2∠B, then which of the following is true?

  1. ((a))

    a2 = b2 – bc

  2. ((b))

    a2 = b2 – ac

  3. ((c))

    a2 = b2 + bc

  4. ((d))

    a2 = b2 + ac

Show Answer
Answer: ((c))

a2 = b2 + bc

Given:-

In Right angle △ABC,  ∠A = 2∠B 

Calculation:-

Let A = 90

∠B = 45

As we know,

In △ABC

(BC)2 = (AC)2 + (AB)2

a2 = b2 + c2      ---(1)

If ∠B = ∠C

So, AC = AB

b = c

from equation (1)

a2 = b2 + c.c

a2 = b2 + bc

114

If 8x2x2;+;7x2=1,x>0,\frac{{8x}}{{2{x^2}; + ;7x - 2}} = 1,x > 0, then what is the value of x3+1x3{x^3} + \frac{1}{{{x^3}}}?

  1. ((a))

    3817\frac{3}{8}\sqrt {17}

  2. ((b))

    3417\frac{3}{4}\sqrt {17}

  3. ((c))

    5817\frac{5}{8}\sqrt {17}

  4. ((d))

    5417\frac{5}{4}\sqrt {17}

Show Answer
Answer: ((c))

5817\frac{5}{8}\sqrt {17}

8x/(2x2 + 7x – 2) = 1

2x2 + 7x – 2 = 8x

Divided by x

2x + 7 – 2/x = 8

2(x – 1/x) = 8 – 7 = 1

x – 1/x = 1/2

As we know,

(x + 1/x)2 – (x – 1/x)2 = 4

(x + 1/x)2 = 4 + (1/2)2 = 4 + (1/4)

(x + 1/x)2 = 17/4

x + 1/x = √17/2

As we know,

x3 + 1/x3 = (x + 1/x)3 – 3(x + 1/x)

x3 + 1/x3 = (√17/2)3 – 3 × (√17/2)

= 17√17/8 – 3√17/2

= (17√17 – 12√17)/8

= 5√17/8

115

A is 40% more than B and B is 60% less than C. If C is 60% more than D, then which of the following is true?

  1. ((a))

    C is 60% more than B.

  2. ((b))

    B is 36% less than D.

  3. ((c))

    D is 10.4% more than A.

  4. ((d))

    A is 54% less than C.

Show Answer
Answer: ((b))

B is 36% less than D.

Given:-

A = 40% more than B

B = 60% less than C

C = 60% more than D

Formula used:-

% of value = (Value/Total value) × 100

Calculation:-

Suppose D = 100

C = 100 × 160/100 = 160

B = 160 × 40/100 = 64

A = 64 × 140/100 = 89.6

B is less than D by (100 – 64)/100 × 100 = 36%

116

If a = 500, b = 502 and c = 504, then the value of a3 + b3 + c3 – 3abc

  1. ((a))

    15060

  2. ((b))

    12048

  3. ((c))

    18072

  4. ((d))

    17040

Show Answer
Answer: ((c))

18072

Given:

a = 500

b = 502

c = 504

Calculation:

As we know,

a3 + b3 + c3 – 3abc = (1/2) × (a + b + c) [(a – b)2 + (b – c)2 + (c – a)2]

⇒ (1/2) × (500 + 502 + 504) [(500 – 502)2 + (502 – 504)2 + (504 – 500)2]

⇒ (1/2) × 1506 [(-2)2 + (-2)2 + (4)2]

⇒ (1/2) × 1506 × (4 + 4 + 16)

⇒ 1/2 × 1506 × 24

⇒ 18072

∴ The correct answer is 18072.

117

The marked price of an article is Rs. 800. A retailer buys it for Rs. 540 after getting two successive discounts. The first discount is 25%. What is the second discount?

  1. ((a))

    8%

  2. ((b))

    12%

  3. ((c))

    10%

  4. ((d))

    15%

Show Answer
Answer: ((c))

10%

Given:

MRP = Rs. 800

CP = Rs. 540

The first discount is 25%.

Calculation:

MRP of the article = Rs.800

SP of the article after discount = 800 × 7510075\over100 = 600

Second discount = 600 – 540 = 60

Second discount = 6060060\over600 × 100 = 10%

Directions : Study the given graph and answer the question that follows.

118

The total number of students obtaining less than 50 marks is what percentage more than the total number of students obtaining 60 marks or more (correct to one decimal place).

  1. ((a))

    6.8

  2. ((b))

    4.4

  3. ((c))

    5.6

  4. ((d))

    6.2

Show Answer
Answer: ((c))

5.6

Calculation:

Total number of students obtaining less than 50 marks = 142 + 110 + 78 + 45 = 375

Total number of students obtaining 60 marks or more = 120 + 100 + 80 + 55 = 355

Required percentage = [(375 – 355)/355] × 100 = 5.6%

∴ The correct answer is  5.6%.

119

P is a point outside a circle and is 26 cm away from its centre. A secant PAB drawn from P intersects the circle at point A and B such that PB = 32 cm and PA = 18 cm. The radius of the circle (in cm) is:

  1. ((a))

    12

  2. ((b))

    10

  3. ((c))

    13

  4. ((d))

    8

Show Answer
Answer: ((b))

10

Given:

PA = 18 cm and PB = 32 cm

OP = 26 cm

Calculation:

Let PQ = (26 + r)

And PT = (26 – r)

As we know,

⇒ PT × PQ = PA × PB

⇒ (26 + r) × (26 – r) = 18 × 32

⇒ 262 – r2 = 576

⇒ r2 = 676 – 576

⇒ r2 = 100

⇒ r = √ 100 = 10 cm

120

The length of parallel sides of a trapezium are 51 cm and 21 cm, and that of each of the other two sides is 39 cm. What is the area (in cm2) of the trapezium?

  1. ((a))

    1206

  2. ((b))

    1296

  3. ((c))

    1152

  4. ((d))

    1260

Show Answer
Answer: ((b))

1296

Given:

Length of parallel sides = 51 cm, 21 cm

Length of other two sides = 39 cm

Formula used:

Area of trapezium = 1/2 × (Sum of parallel side) × (Distance between parallel side)

Calculation:

As we know

Area of trapezium = 1/2 × (Sum of parallel side) × (Distance between parallel side)

ABCD is a trapezium

AB = 21, CD = 51, BC = AD = 39

AB = EF = 21 cm and DE = FC

CD = DE + EF + FC

⇒ 51 = DE + 21 + DE

⇒ 2DE = 51 – 21 = 30

⇒ DE = 30/2 = 15

In △BFC

⇒ BC2 = BF2 + FC2

⇒ (39)2 = BF2 + (15)2

⇒ BF2 = 1521 – 225 = 1296

⇒ BF = √1296 = 36 cm

Area of trapezium = 1/2 × (51 + 21) × 36 = 72 × 18 = 1296 m

∴ The correct answer is 1296 m2.

121

A conical vessel whose internal base radius is 18 cm and height 60 cm are full of a liquid. The entire liquid of the vessel is emptied into a cylindrical vessel with an internal radius of 15 cm. The height (in cm) to which the liquid rises in the cylindrical vessel is:

  1. ((a))

    30.2 cm

  2. ((b))

    28.8 cm

  3. ((c))

    27 cm

  4. ((d))

    24 cm

Show Answer
Answer: ((b))

28.8 cm

Given:

Radius of cone (r) = 18 cm

Height of cone (h) = 60 cm

Radius of cylinder (R) = 15 cm

Formula used:

The volume of cone = 131\over3πr2h

The volume of cylinder = πr2h

Calculation:

Let the height to which the liquid rises in the cylindrical vessel be H cm.

The volume of cone = 131\over3πr2h

The volume of cylinder = πR2H

According to the question

⇒ πR2H = 131\over3πr2h

⇒ 15 × 15 × H = 131\over3 × 18 × 18 × 60

⇒ H = 28.8 cm

122

The total number of students in schools D and E is what percentage more than the total number of students in schools B and C?

  1. ((a))

    20

  2. ((b))

    25

  3. ((c))

    30

  4. ((d))

    35

Show Answer
Answer: ((b))

25

Calculation:

Total number of students D and E = 61.2 + 118.8 = 180

Total number of students B and C = 64.8 + 79.2 = 144

Required percentage = [(180 – 144)/144] × 100 = 25%

∴ The correct answer is 25%.

123

An observer who is 1.62 m tall is 45 m away from a pole. The angle of elevation of the top of the pole from his eyes is 30°. The height (in m) of the pole is closest to: 

  1. ((a))

    26.8

  2. ((b))

    25.8

  3. ((c))

    26.2

  4. ((d))

    27.6

Show Answer
Answer: ((d))

27.6

Given:

An observer who is 1.62 m tall is 45 m away from a pole.

The angle of elevation of the top of the pole from his eyes is 30°.

Calculation:

AB = CD = 1.62 m

BC = AD = 45 m

In △ADE,

tan30 = DE/AD

1/√3 = DE/45

DE = 45/√3 = 15√3

DE = 15 × 1.732 = 25.98

CE = 25.98 + 1.62 = 27.6

Shortcut Trick 

√3 unit = 45

1 unit = 15√3 = 25.98

Height of the pole = 1.62 + 25.98 = 27.6

124

The value of (0.13)2;+;(0.21)2(0.39)2;;+;81(0.07)2÷(2.4)4;+;3;×;(11.52);+;9(2.4)6;;+;6(2.4)4;;+;3;×;(17.28)\frac{{{{\left( {0.13} \right)}^2}; + ;{{\left( {0.21} \right)}^2}}}{{{{\left( {0.39} \right)}^{2;}}; + ;81{{\left( {0.07} \right)}^2}}} \div \frac{{{{\left( {2.4} \right)}^4}; + ;3; \times ;\left( {11.52} \right); + ;9}}{{{{\left( {2.4} \right)}^{6;}}; + ;6{{\left( {2.4} \right)}^{4;}}; + ;3; \times ;\left( {17.28} \right)}} lies between :

  1. ((a))

    0.7 and 0.8

  2. ((b))

    0.4 and 0.5

  3. ((c))

    0.6 and 0.7

  4. ((d))

    0.5 and 0.6

Show Answer
Answer: ((c))

0.6 and 0.7

Calculation:-

(0.13)2;+;(0.21)2(0.39)2;+;81(0.07)2÷(2.4)4;+;3;×;(11.52);+;9(2.4)6;+;6(2.4)4;+;3;×;(17.28)\frac{{{{\left( {0.13} \right)}^2}; + ;{{\left( {0.21} \right)}^2}}}{{{{\left( {0.39} \right)}^2}; + ;81{{\left( {0.07} \right)}^2}}} \div \frac{{{{\left( {2.4} \right)}^4}; + ;3; \times ;\left( {11.52} \right); + ;9}}{{{{\left( {2.4} \right)}^6}; + ;6{{\left( {2.4} \right)}^4}; + ;3; \times ;\left( {17.28} \right)}}

(0.13)2;+;(0.21)29;[(0.13)2;+;9(0.07)2]÷(2.4)4;+;3;×;(11.52);+;92.42[(2.4)4;+;6(2.4)2;+;3;×;3]\frac{{{{\left( {0.13} \right)}^2}; + ;{{\left( {0.21} \right)}^2}}}{{9;[{{\left( {0.13} \right)}^2}; + ;9{{\left( {0.07} \right)}^2}]}} \div \frac{{{{\left( {2.4} \right)}^4}; + ;3; \times ;\left( {11.52} \right); + ;9}}{{{{2.4}^2}[{{\left( {2.4} \right)}^4}; + ;6{{\left( {2.4} \right)}^2}; + ;3; \times ;3]}}

(0.13)2;+;(0.21)29;[(0.13)2;+;(0.21)2]÷(2.4)4;+;3;×;(11.52);+;92.42[(2.4)4;+;3;×;11.52;+;9]\frac{{{{\left( {0.13} \right)}^2}; + ;{{\left( {0.21} \right)}^2}}}{{9;[{{\left( {0.13} \right)}^2}; + ;{{\left( {0.21} \right)}^2}]}} \div \frac{{{{\left( {2.4} \right)}^4}; + ;3; \times ;\left( {11.52} \right); + ;9}}{{{{2.4}^2}[{{\left( {2.4} \right)}^4}; + ;3; \times ;11.52; + ;9]}}

19÷15.76\frac{1}{9} \div \frac{1}{{5.76}}                    ∵ (2.42 = 5.76)

⇒ 5.76/9

⇒ 0.64

0.64 lies between 0.6 and 0.7.

125

The volume of a solid right circular cylinder is 5236 cm3, and its height is 34 cm. what is its curved surface area (in cm2)? (Take π = 22/7)

  1. ((a))

    1496

  2. ((b))

    1573

  3. ((c))

    1650

  4. ((d))

    1804

Show Answer
Answer: ((a))

1496

Given:

The volume of a solid right circular cylinder is 5236 cm3.

Height of the cylinder = 34 cm

Formula used:

Volume of cylinder = πr2h

Curved surface area of cylinder = 2πrh

Calculation:

The volume of a solid right circular cylinder = πr2h

⇒ πr2h = 5236

⇒ 22722\over7 × r2 × 34 = 5236

⇒ r2(5236×7)(22×34)(5236\times7)\over(22\times34) 

⇒ r = √49 = 7 cm

Curved surface area of cylinder = 2πrh

⇒ 2 × 22722\over7 × 7 × 34 = 1496 cm2

Directions: Study the given graph and answer the question that follows.

126

The total daily sales of newspaper P in cities, B, D and E is what percentage less than that of newspaper Q in cities A, C, D and E?

  1. ((a))

    24.4

  2. ((b))

    22.5

  3. ((c))

    20.2

  4. ((d))

    20.8

Show Answer
Answer: ((b))

22.5

Calculation:

Total sales of newspaper P in cities B, D, and E

= 560 + 750 + 550

= 1860

Total sales of newspaper Q in cities A, C, D, and E

= 450 + 650 + 680 + 620

= 2400

Required percentage = [(2400 – 1860)/2400] × 100

= 22.5%

127

Pipes A and B are emptying pipes and can empty a tank in 6 hours and 16 hours, respectively. C is a filling pipe. All three pipes were opened together. They took 80 minutes to empty 5/18th of the tank. Pipe C alone can fill the tank in:

  1. ((a))

    36 hours

  2. ((b))

    42 hours

  3. ((c))

    48 hours

  4. ((d))

    40 hours

Show Answer
Answer: ((c))

48 hours

Given:

A pipe = 6 hours

B pipe = 16 hours

Time = 80 minutes to empty 5/18 of the tank

Formula used:

Capacity = time × efficiency

Calculation:

Let the efficiency of Pipe C be x, then

(8 + 3 – x) × 80/60 = 48 × 5/18

(11 – x) × 4/3 = 40/3

(11 – x) = 10

x = 11 – 10

x = 1

Pipe C alone can empty the tank in 48/1 = 48 hrs

∴ The correct answer is 48 hrs.

128

Pipes A and B together can fill a tank in 16 hours, whereas pipe C alone can empty the full tank in 24 hours. A and B were opened together for 10 hours and then closed. Pipe C was then opened. The tank will now be emptied by C in: 

  1. ((a))

    18 hours

  2. ((b))

    12 hours

  3. ((c))

    10 hours

  4. ((d))

    15 hours

Show Answer
Answer: ((d))

15 hours

Given:-

(A + B) fill a tank in = 16 Hours

C can empty in = 24 Hours

Calculation:-

(A + B) fill a tank in 1 hour = 1/16

∴ (A + B) fill a tank in 10 hours = 116\large{\frac{1}{16}} × 10 = Available quantity in tank

C emptied the tank in 1 hour = 1/24

∴ Time taken by C in emptied the tank = (10/16)/(1/24)

Time taken by C = 240/16 = 15 hours.

Shortcut Trick

The efficiency of A and B is 3 and the efficiency of C is (-2)

Work done by pipe A and B in 10 hours = 3 × 10 = 30

Pipe C empty 30 units in 30/2 = 15 hours

Required time is 15 hours.

129

When 3738, 5659 and 9501 are divided by the greatest possible number x, the remainder in each case is y. what is the sum of x and y?

  1. ((a))

    3783

  2. ((b))

    3673

  3. ((c))

    3672

  4. ((d))

    3738

Show Answer
Answer: ((d))

3738

Given:-

Three numbers = 3738, 5659, 9501

Concept used:-

HCF(D1,D2,D3) = Greatest number which gives same remainder

Calculation:-

If remainder in each case is the same, then: 

D1 = 5659 – 3738 = 1921

D2 = 9501 – 5659 = 3842

D3 = 9501 – 3738 = 5763

HCF of 1921, 3842 and 5763 = (x) = 1921

When 3738, 5659 and 9501 are divided by 1921,

To find the remainder when 3738, 5659, and 9501 are divided by 1921, we calculate as follows:

For 3738 divided by 1921:

Remainder of 3738 divided by 1921 = 3738 - (floor(3738/1921) × 1921)

floor(3738/1921) = 1

Therefore, the remainder = 3738 - (1 × 1921) = 3738 - 1921 = 1817

For 5659 divided by 1921:

Remainder of 5659 divided by 1921 = 5659 - (floor(5659/1921) × 1921)

floor(5659/1921) = 2

Therefore, the remainder = 5659 - (2 × 1921) = 5659 - 3842 = 1817

For 9501 divided by 1921:

Remainder of 9501 divided by 1921 = 9501 - (floor(9501/1921) × 1921)

floor(9501/1921) = 4

Therefore, the remainder = 9501 - (4 × 1921) = 9501 - 7684 = 1817

So, the remainder when 3738, 5659, and 9501 are divided by 1921 is each 1817.

Remainder (y) = 1817

Now,

x + y = 1921 + 1817 = 3738

130

A started a business with a capital of Rs. 1,12,000. After 2 months, B joined the business with a capital of Rs, 80,000, and after another 2 months, C joined the business with a capital of Rs. 72,000. After 10 months from the start of the business, B withdrew Rs. 8,000 and C also withdrew Rs. 8,000. If B received Rs. 9,800 as his share in the profit at the end of a year, then the total profit was:

  1. ((a))

    Rs. 30,800

  2. ((b))

    Rs. 35,800

  3. ((c))

    Rs. 32,400

  4. ((d))

    Rs. 33,600

Show Answer
Answer: ((d))

Rs. 33,600

Given:-

A invests 1,12,000

B invests 80,000

C invests 72,000

Formula used:-

Capital × Time = Profit

Calculation:-

Total capital of A at the end of the year = 112,000 × 12 = 13,44,000

Total capital of B at the end of the year = 80,000 × 8 + 72,000 × 2 = 6,40,000 + 1,44,000

= 7,84,000

Total capital of C at the end of the year = 72000 × 6 + 64000 × 2 = 432000 + 128000 = 560000

Profit ratio of A, B and C = 1344000 : 784000 : 560000 = 84 : 49 : 35

49x = 9800

x = 9800/49 = 200

Total Profit = (84x + 49x + 35x) = 168x = 168 × 200 = Rs. 33600

Alternate Method

See, 112000 : 80000 : 72000 : 8000 : 8000

We can write this,

14 : 10 : 9 : 1 : 1

Now,

Capital of A = 14

Capital of B = 10

Capital of C = 9

Total capital at the end of the year = 14 × 12 = 168

Total capital of B at the end of the year = 10 × 8 + 9 × 2 = 80 + 18 = 98

Total capital of C at the end of the year = 9 × 6 + 8 × 2 = 54 + 16 = 70

Profit share of A, B and C = 168 : 98 : 70

98 unit = 9800

1 unit = 100

Total profit = 168 + 98 + 70 = 336

336 unit = 336 × 100 = Rs. 33600

131

A right circular cone of the largest volume is cut out from a solid wooden hemisphere. The remaining material is what percentage of the volume of the original hemisphere?

  1. ((a))

    50%

  2. ((b))

    331333\frac{1}{3}%

  3. ((c))

    755

  4. ((d))

    662366\frac{2}{3}%

Show Answer
Answer: ((a))

50%

Given:-

A right circular cone of largest volume

Formula used:-

Volume of cone = 13\dfrac{1}{3}πr2h

Volume of hemisphere = (2/3)πr3

Calculation:-

 

The radius of the cone and hemisphere be r cm.

Height of the cone h = r cm

Volume of cone = 13\dfrac{1}{3}πr2 × h

⇒ 13\dfrac{1}{3}πr2 × r = 13\dfrac{1}{3}πr3

Volume of hemisphere = 23\dfrac{2}{3}πr3

Remaining volume = 23\dfrac{2}{3}πr313\dfrac{1}{3}πr3 = 13\dfrac{1}{3}πr3

Required percentage = 13πr323πr3\dfrac{\dfrac{1}{3}\pi r^3}{\dfrac{2}{3}\pi r^3} × 100

⇒ 13\dfrac{1}{3} × 32\dfrac{3}{2} × 100 = 50%

132

The number of students who obtained 20 marks or more but less than 60 marks is:

  1. ((a))

    402

  2. ((b))

    600

  3. ((c))

    480

  4. ((d))

    522

Show Answer
Answer: ((c))

480

Calculation:

Number of students who obtained 20 marks or more but less than 60 marks = 78 + 110 + 142 + 150 = 480

∴ The correct answer is 480.

133

In which city the daily sales of newspaper P is 1.25 times the average daily sales of newspaper Q in cities A, B, C, D and E?

  1. ((a))

    B

  2. ((b))

    D

  3. ((c))

    C

  4. ((d))

    A

Show Answer
Answer: ((b))

D

Total sales of newspaper Q = 450 + 600 + 650 + 680 + 620 = 3000

Average sales of newspaper Q = 3000/5 = 600

1.25 times of average sales of newspaper Q = 600 × 1.25 = 750

Sales of newspaper P in D city is 1.25 times of average sales of the newspaper.

134

In ΔABC, ∠C = 90° and D is a point on CB such that AD is the bisector of ∠A. If AC = 5 cm and BC = 12 cm, then what is the length of AD?

  1. ((a))

    10/3 cm

  2. ((b))

    5136\frac{{5\sqrt {13} }}{6} cm

  3. ((c))

    5133\frac{{5\sqrt {13} }}{3} cm

  4. ((d))

    20/3 cm

Show Answer
Answer: ((c))

5133\frac{{5\sqrt {13} }}{3} cm

Given:

∠C = 90° 

AC = 5 cm

BC = 12 cm

D is a point on CB such that AD is the bisector of ∠A

Concept used:

AD is the angle bisector of ∠A.

∴AC/AB = CD/DB

Calculation:

BC = 12, AC = 5

In △ABC

(AB)2 = (AC)2 + (BC)2

(AB)2 = 52 + 122 = 25 + 144 = 169

AB = √169 = 13

∵ AD is the angle bisector of ∠A.

⇒ AC/AB = CD/DB

5/13 = CD/DB

Suppose CD : DB = 5x : 13x

BC = CD + DB

12 = 5x + 13x

18x = 12

x = 12/18 = 2/3

CD = 5 × 2/3 = 10/3

In △ACD

(AD)2 = (CD)2 + (AC)2

(AD)22 = (10/3)2 + 52

AD2 = 100/9 + 25

AD2 = (100 + 225)/9 = 325/9

AD = 5√13/3

∴ The correct answer is 5√13/3.

135

If the 5-digit number 538xy is divisible by 3, 7 and 11, then the value of (x2 + y2)is:

  1. ((a))

    25

  2. ((b))

    10

  3. ((c))

    17

  4. ((d))

    13

Show Answer
Answer: ((d))

13

Given:

5 digit number = 538xy

Calculation:

Let us first take 54000 as a 5-digit number

Now,

LCM of (3, 7, 11)  = 231

On dividing 54000 by 231 

⇒ 54000/231 = 233.766(approx)

Now we will find the multiple which can give us a number starting with 538..,

⇒ 231 × 233 = 53823 

So, the number will be 53823

Now,

⇒ x = 2 , y = 3

⇒ (x2 + y2) = 22 + 32 = 13

∴ The correct answer is 13.

Alternate Method

As we know from options (x2 + y2) = 25, 10, 17 or 13

Let check option

(x2 + y2) = 25 = 32 + 42

Let x = 3 and y = 4 or x = 4 and y = 3

Number become 53834 or 53843

Check the number is divisible by 3

So sum of digit = 5 + 3 + 8 + 3 + 4 = 23 (not divisible, now we can say this option not correct)

Let’s check other option

(x2 + y2) = 10 = 12 + 32

Let x = 1 and y = 3 or x = 3 and y = 1

Number become 53813 or 53831

Check the number is divisible by 3

So sum of digit = 5 + 3 + 8 + 1 + 3 = 20 (not divisible, now we can say this option not correct)

Let’s check other option

(x2 + y2) = 17 = 12 + 42

Let x = 1 and y = 4 or x = 1 and y = 4

Number become 53814 or 53841

Check the number is divisible by 3

So sum of digit = 5 + 3 + 8 + 1 + 4 = 21 (divisible)

Check the number is divisible by 11

{(5 + 8 + 4) – (3 + 1)} or {(5 + 8 + 1) – (3 + 4)}

(17 – 4) or (14 – 7)

13 or 7 (not divisible)

Check the number also divisible by 53841

5 – 3 + 8 – 4 + 1

14 – 7

7 (not divisible)

Now we can say fourth option is correct because all three option are wrong.

Such number will be = 53823 and it is divisible by 11, 3, and 7.     

So x = 2 and y = 3

∴ x2 + y2 = 4 + 9 = 13

∴ The correct answer is 13.

Note:

Choose option 4 directly and solve in the same way, This was the solution wont be lengthy, We have shown here for better understanding only.

136

A sum of Rs. 5,000 amounts to Rs. 7,200 in 8 years at a certain rate per cent p.a interest compounded yearly. What will be the compound interest on a sum of Rs. 6,550 in 4 years at the same rate of interest?

  1. ((a))

    Rs. 1,290

  2. ((b))

    Rs. 1,285

  3. ((c))

    Rs. 1,415

  4. ((d))

    Rs. 1,310

Show Answer
Answer: ((d))

Rs. 1,310

Given:

A sum of Rs. 5,000 amounts to Rs. 7,200 in 8 years at a certain rate percent p.a interest compounded yearly.

Calculation:

P = 5000, A = 7200, t = 8 years

As we know,

A = P (1 + r/100)t

7200 = 5000 (1 + r/100)8

7200/5000 = (1 + r/100)8

(1 + r/100)8 = 36/25

(1 + r/100)4 = √36/25 = 6/5

A = P (1 + r/100)t

A = 6550 (1 + r/100)4

A = 6550 × 6/5

A = 7860

CI = 7860 – 6550 = 1310 

Shortcut Trick √5000 : √7200

√25 : √36

5 : 6

5 unit = 6550

1 unit = 6550/5 = 1310

137

The average score of 42 students in a test is 69. The ratio of the number of boys to that of girls us 10 : 11. The average score of the boys is 20% more than that of the girls. The average score of the boys is:

  1. ((a))

    852.8

  2. ((b))

    75.6

  3. ((c))

    73.5

  4. ((d))

    75.2

Show Answer
Answer: ((b))

75.6

Given:-

Average of 42 students = 69

Ratio of boys to girls = 10 : 11

Average score of boys = 1.20 × average score of girls

Formula used:-

Average = (Sum of values)/No. of values

Calculation:-

Let the average score of girls be 5x.

Average score of boys = 5x × (120/100) = 5x × (6/5) = 6x

Number of boys = 42 × (10/21) = 20

Number of girls = 42 × (11/21) = 22

Average score of 42 students = 69

According to the question,

6x × 20 + 5x × 22 = 69 × 42

60x + 55x = 69 × 21

115x = 1449

x = 1449/115

x = 12.6

Average score of boys = 6 × 12.6 = 75.6

138

A circle is inscribed in an equilateral triangle of side 24 cm. What is the area (in cm2) of a square inscribed in the circle?

  1. ((a))

    48

  2. ((b))

    72

  3. ((c))

    96

  4. ((d))

    54

Show Answer
Answer: ((c))

96

Given:-

Side of triangle = 24 cm

Formula used:-

In-radius of triangle = a/2√ 3

Area of square = (Diagonal)2/2

Calculation:-

Side of triangle (a) = 24 cm

In-radius of triangle = a/2√3 = 24/2√3 = 4√3

As we know,

Diagonal of inscribed square = 2r = 2 × 4√3 = 8√3

Area of square = (Diagonal)2/2

Area of square = (8√3)2/2 = (64 × 3)/2 = 96 cm2

Required square area is 96 cm2.

139

A certain sum (in Rs) is invested at simple interest at x% p.a for 5 years. Had it been invested at (x + 5)% p.a the simple interest would have been Rs. 9,200 more than the earlier one. What is the sum?

  1. ((a))

    Rs. 36,800

  2. ((b))

    Rs. 36,40

  3. ((c))

    Rs. 25,800

  4. ((d))

    Rs. 40,000

Show Answer
Answer: ((a))

Rs. 36,800

Shortcut Trick

Difference of rate for 1 years = 5%

Difference of rate 5 years = 5 × 5 = 25%

 For 25% = 9200

∴ For 100% = Rs. 36800

∴ The sum is Rs. 36,800.

Alternate Method

Given:-

SI = 9200, r% = x% and t = 5 years

Formula used:-

SI = (P × r × t)/100

Calculation:-

According to the question-

[{P × (x + 5) × 5}/100] – [(P × x × 5)/100] = 9200

5Px + 25P – 5Px = 920000

25P = 920000

P = 920000/25

P = Rs. 36,800

∴ The sum is Rs. 36,800.

140

Let x be the least number divisible by 13, such that when x is divided by 4, 5, 6, 7, 8 and 12, the remainder in each case is 2. The sum of the digits of x is:

  1. ((a))

    10

  2. ((b))

    11

  3. ((c))

    9

  4. ((d))

    8

Show Answer
Answer: ((b))

11

Calculation:

LCM = 2 × 2 × 2 × 3 × 5 × 7 = 840

Let (840k + 2) be divisible by 13, then

Quotient = 64k and Remainder = (8k + 2)

Put k = 1, 2, 3, 4…

So, put k = 3

Remainder = (8 × 3 + 2) = 26

⇒ 26/13 = 2

Now,

⇒ 840k + 2

⇒ 840 × 3 + 2

⇒ 2520 + 2

⇒ 2522

Sum of digit of 2522 = 2 + 5 + 2 + 2 = 11

∴ The correct answer is 11.

141

A can finish one-third of a work in 5 days, B can finish 2/5 the of the same work in 10 days and C can finish 75% of the same work in 15 days. They work together for 6 days. The remaining work will be finished by B alone in:

  1. ((a))

    2 days

  2. ((b))

    1121\frac{1}{2} days

  3. ((c))

    3 days

  4. ((d))

    5 days

Show Answer
Answer: ((b))

1121\frac{1}{2} days

Given:

A can finish one-third of a work in 5 days.

B can finish 2/5 the of the same work in 10 days.

And C can finish 75% of the same work in 15 days.

Calculation:

A can finish 1/3 of a work in = 5 days

A finish the whole work in = 5 × 3 = 15 days

B can 2/5 of the whole work in = 10 days

B can finish the whole work in = 10 × (5/2) = 25

C can finish 75% of the work in 15 days

C can finish the whole work = 15 × (100/75) = 20 days 

A, B and C work in 6 days = (20 + 12 + 15) × 6 = 282

Remaining work = 300 – 282 = 18

Remaining work B will complete in = 18/12 = 3/2 = 1121\frac{1}{2} days

142

The number of students in school E exceeds the total number of students in schools A and B by x, where x lies between:

  1. ((a))

    420 and 440

  2. ((b))

    440 and 460

  3. ((c))

    460 and 480

  4. ((d))

    400 and 420

Show Answer
Answer: ((b))

440 and 460

Total number of students in school E exceeds the total number of students in school A and B by = 118.8 – (36 + 64.8) = 18

So, x = (18/360) × 9000 = 450

450 lies between 440 and 460.

143

The profit on selling an article for Rs. 1,100 is equal to three times the amount of loss on selling it for Rs 700. To gain 12.5% the article must be sold for:

  1. ((a))

    Rs. 956

  2. ((b))

    Rs. 877.50

  3. ((c))

    Rs. 787.50

  4. ((d))

    Rs. 900

Show Answer
Answer: ((d))

Rs. 900

Given:-

First S.P. = 1100

Second SP. = 700

Formula used:-

**%**Profit = [(S.P - CP)/CP] × 100

Calculation:-

Let CP of the article be x

According to the question

(1100 – x) = 3 (x – 700)

1100 – x = 3x – 2100

3x + x = 2100 + 1100

4x = 3200

x = 800

∴ SP of the article = 800 × (9/8) = Rs. 900

Shortcut Trick Calculation:-

4 unit = 400

1 unit = 100

3 unit = 300

CP = 800

∴ SP of the article = 800 × (9/8) = Rs. 900

144

If x4 + x2y2 + y4 = 21/256 and x2 + xy + y2 = 3/16, then 2(x2 + y2) = ?

  1. ((a))

    4

  2. ((b))

    5/8

  3. ((c))

    3/4

  4. ((d))

    5/16

Show Answer
Answer: ((b))

5/8

Given:

⇒ (x2 + xy + y2) = 3/16                   ---(1)

⇒ (x4 + x2y2 + y4) = 21/256            ---(2)

Formula used:

As we know the following identity,

⇒ (x2 + y2 + xy) (x2 + y- xy) = (x2 + y2)2 - (xy)2

⇒ (x2 + y2 + xy) (x2 + y2 - xy) = x4 + y4 + 2x2y2 - x2y2

⇒ (x2 + y2 + xy) (x2 + y2 - xy) = x4 + y4 + x2y2

Calculation:

⇒ x4 + y4 + x2y2 = (x2 + y2 + xy) (x2 + y2 - xy)

⇒ (21/256) = (3/16) (x2 – xy + y2)

⇒ (x2 – xy + y2) = 7/16      ---(2)

Add equation (1) and equation (2)

⇒ 2(x2 + y2) = 10/16 = 5/8

145

If 60% of the total number of students obtaining 50 marks or more but less than 70 marks are girls and 55% of the total number of students obtaining 70 marks or more but less than 90 marks are also girls, then the total number of girls obtaining 50 marks or more but less than 90 marks is:

  1. ((a))

    261

  2. ((b))

    207

  3. ((c))

    236

  4. ((d))

    257

Show Answer
Answer: ((a))

261

Calculation:

Total number of girls who obtained 50 marks or more but less than 70

= (150 + 120) × (60/100) = 162

Total number of girls who obtained 70 marks or more but less than 90 marks

= (100 + 80) × (55/100) = 99

Total number of girls = 162 + 99

= 261

∴ The correct answer is 261.

146

A works twice as fast as B and B works twice as fast as C. All three working together can finish a task in 4 days with the help of D. If D alone can finish the same task in 16 days, then in how many days will A alone finish 75% of the same task?

  1. ((a))

    9

  2. ((b))

    8

  3. ((c))

    7

  4. ((d))

    6

Show Answer
Answer: ((c))

7

Calculation:

Let efficiency of C be x

Efficiency of B = 2 × x = 2x

Efficiency of A = 2 × 2x = 4x

Total work = 16

Efficiency of D = 1 unit

According to the question

(4x + 2x + x + 1) × 4 = 16

(7x + 1) × 4 = 16

28x + 4 = 16

28x = 16 – 4 = 12

x = 12/28 = 3/7

Efficiency of A = 4x = 4 × (3/7) = 12/7

75% of the total work = 16 × (3/4) = 12

75% of the total work A alone can complete in = 12/(12/7) = 7 days

Alternate Method Let efficiency of C be 1

Efficiency of B = 2 × 1 = 2

Efficiency of A = 2 × 2 = 4

As we know,

100% work D complete in = 16 days

25% work D complete in = 4 days

Now, we can say 75% work of the total work = (4 + 2 + 1) × 4 = 28 unit

A alone can complete the 75% of the total work in = 28/4 = 7 days.

Shortcut TrickA : B : C

4 : 2 : 1

According to the question,

(7 + D) × 4 = D × 16

⇒ D = 737\over3 (Efficiency)

The total work = 16 × 737\over3

A alone finish 75% of the same task

⇒ 7510075\over100 × 16416\over4 × 737\over3 = 7 days

∴ A alone finish 75% of the same task in 7 days.

147

If 662366\frac{2}{3}% of 75% of one-eighth of a certain number is 179, then 331333\frac{1}{3}% of three-fourth of that number is:

  1. ((a))

    537

  2. ((b))

    787.6

  3. ((c))

    859.2

  4. ((d))

    716

Show Answer
Answer: ((d))

716

Given:

66.66% of 75% of 1/8 of a number = 179

Calculation:

Let the number be x.

66.66% × 75% × 1/8 × (x) = 179

⇒ x × 2/3 × 3/4 × 1/8 = 179

⇒ x = 179 × 16

⇒ 33 % of 3/4 of 179 × 16

⇒ 179 × 16 × 3/4 × 1/3

⇒ 716 

∴ The correct answer is 716.

148

What is the ratio of the total daily sales of newspaper P in cities A and C to the total daily sales of newspaper Q in cities B and D?

  1. ((a))

    16 : 17

  2. ((b))

    7 : 8

  3. ((c))

    15 : 16

  4. ((d))

    4 : 5

Show Answer
Answer: ((b))

7 : 8

Total sales of newspaper P in cities A and C = 640 + 480 = 1120

Total sales of newspaper Q in cities B and D = 600 + 680 = 1280

Required ratio = 1120 : 1280 = 7 : 8

149

A person rows a distance of 3343\frac{3}{4} km upstream in 1121\frac{1}{2} hours and a distance of 13 km downstream in 2 hours. How much time (in hours) will the person take to row a distance of 90 km in still water?

  1. ((a))

    20

  2. ((b))

    18

  3. ((c))

    24

  4. ((d))

    15

Show Answer
Answer: ((a))

20

Given:

Upstream distance = 15/4 km

Time upstream = 3/2 hours

Downstream = 13 km

Downstream time = 2 hours

Concept used:

Let v = speed of boat

u = speed of the stream

Time taken = t 

Distance  = D

∴ Upstream speed = v - u

Downstream speed = v + u

Calculation:

Let the speed of the boat be x km/hr.

Speed of current be y km/hr

Upstream speed = (x - y) km/hr

Downstream speed = (x + y) km/hr

As we know,

Speed = Distance/Time

(x – y) =  = 15/4 ÷ 3/2 = 2.5     ---(1)

(x + y) = 13/2 = 6.5 ---(2)

From equation (1) and equation (2),

x = 4.5 km & y = 2 km

Time taken by man to cover 90 km distance in still water = 90/4.5 = 20 hrs

∴ The correct answer is 20 hrs.

150

The value of 617272\sqrt {6 - \sqrt {17 - 2\sqrt {72} } }  is closest to:

  1. ((a))

    2.1

  2. ((b))

    2.4

  3. ((c))

    2.7

  4. ((d))

    1.7

Show Answer
Answer: ((b))

2.4

Given:

6172;72;\sqrt {6 - {\rm{}}\sqrt {17 - 2{\rm{;}}\sqrt {72{\rm{;}}} } }

Formula used:

(a + b)2 = a2 + b2 + 2ab

(a - b)2 = a2 + b2 - 2ab

Calculation:

6172;72;\sqrt {6 - {\rm{}}\sqrt {17 - 2{\rm{;}}\sqrt {72{\rm{;}}} } }

⇒ 6172;×;62\sqrt{6-{\rm{}}\sqrt{17-2{\rm{;}}\times{\rm{;}}6\sqrt 2}}

⇒​ 632;+;(22)2;2;×;3;×;22\sqrt{6-\sqrt {{3^2}{\rm{;}}+{\rm{;}}{{\left({2\sqrt2}\right)}^2}-{\rm{;}}2{\rm{;}}\times{\rm{;}}3{\rm{;}}\times{\rm{;}}2\sqrt2}}

(a - b)2 = a2 + b2 - 2ab

⇒​ 6(322)2\sqrt{6-\sqrt{{{\left({3-2\sqrt2}\right)}^2}}}

⇒​ 63;+;22\sqrt{6-3{\rm{;}}+{\rm{;}}2\surd2}

⇒​ 3;+;22\sqrt{3{\rm{;}}+{\rm{;}}2\sqrt2}

⇒​ (2)2;+;12;+;2;×;2;×;1\sqrt {{{\left( {\sqrt 2 } \right)}^2}{\rm{;}} + {\rm{;}}{1^2}{\rm{;}}+{\rm{;}}2{\rm{;}}\times{\rm{;}}\sqrt2{\rm{;}}\times{\rm{;}}1}

⇒​ (2;+;1)2\sqrt{{{\left({\sqrt2{\rm{;}}+{\rm{;}}1}\right)}^2}}

⇒​ √2 + 1 = 1.4 + 1 = 2.4

English Comprehension (50 questions)

Read the given passage and answer the questions that follow.

<br>

Pollution befouls the air and poisons water. Pollution induces the release of toxicants into the biosphere which makes the air unsuitable for breathing, harms the quality of water and soil, and causes the emission of substances that may cause damage to humans, plants and animals.

To cater to the needs of an increasing population, agriculture has been intensified through the use of a wide spectrum of fertilizers and pesticides. Diverse industries have been set up to produce chemicals including those that pose a danger to all life forms.

Rapid industrialisation has led to the deterioration in the quality of air. Widespread use of coal and fossil fuels in industries and petroleum fuel in motor vehicles has aggravated the air pollution problem. Our atmosphere seems to have become a wastebasket into which dust, noxious fumes, toxic gases and other pollutants are callously thrown.

The intensity of air pollution in Indian cities is increasing primarily due to our vintage vehicles and their poor performance. Water pollution too has increased with the growth of our population and also that of our industries. Water pollution has acquired dangerous dimensions ever since sewage and industrial effluents have started being disposed of into the rivers.

Once considered sacred, the rivers are now turning murky and stink. It is sad that almost three-fourths of our fellow citizens have no choice but to drink filthy water. The severely polluted rivers due to mindless dumping of sewage and industrial wastes are a cause for concern not only to us humans but also to myriads of life forms that exist in water.

On the French and Italian rivieras, we can no longer see the sparkling blue waters. The Mediterranean Sea is reported to be turning grey. Rivers and canals pour sewage, detergents and industrial waste into the sea; tankers flush their contents near the river or sea; bottles, rotting garbage and oil slicks are washed into the beaches. The phosphates and nitrates applied to farmlands as inorganic fertilizers, concentrate in lakes and estuaries causing algal blooms due to which wide expanses of water get choked, plants rot, oxygen is used up and fish die.

151

Since when has water pollution acquired dangerous dimensions?

  1. ((a))

    Since sacred rivers became murky and lost their sanctity

  2. ((b))

    Since sewage and industrial effluents started being disposed of in rivers

  3. ((c))

    Since the Mediterranean Sea started changing colour

  4. ((d))

    Since oil slicks started being washed on the shores of beaches

Show Answer
Answer: ((b))

Since sewage and industrial effluents started being disposed of in rivers

Option 2 is the right answer.

As seen in the passage--Water pollution has acquired dangerous dimensions ever since sewage and industrial effluents have started being disposed of into the rivers.

152

Deterioration in the quality of air can mainly be attributed to

  1. ((a))

    intensified agricultural practices

  2. ((b))

    global climate change

  3. ((c))

    rapid industrialisation

  4. ((d))

    increase in population

Show Answer
Answer: ((c))

rapid industrialisation

Option 3 is the right answer.

As seen in the passage :  Rapid industrialisation has led to the deterioration in the quality of air.

153

Select the most appropriate title for the passage

  1. ((a))

    The Saga of Sacred Rivers

  2. ((b))

    We Breathe and Drink Poison

  3. ((c))

    Impact of Industrialisation

  4. ((d))

    Algal Blooms

Show Answer
Answer: ((b))

We Breathe and Drink Poison

Option 2 is the right answer.

The given passage tells us about air pollution and water pollution, so the title 'We Breathe and Drink Poison' is the right fit for the passage.

154

As per the passage, which of these statements is NOT true about air pollution?

  1. ((a))

    Vintage vehicles and their poor performance adds to pollution.

  2. ((b))

    Dust and toxic gases released in the air cause air pollution.

  3. ((c))

    Three-fourths of our citizens are breathing poor quality air.

  4. ((d))

    Use of coal and fossil fuels aggravates air pollution.

Show Answer
Answer: ((c))

Three-fourths of our citizens are breathing poor quality air.

Option 3 is the right answer.

As seen in the passage-- It is sad that almost three-fourths of our fellow citizens have no choice but to drink filthy water. 

All the other points are mentioned in the passage. So, they stand true.

155

Which of the following factors is responsible for algal blooms?

  1. ((a))

    Using up of oxygen dissolved in the water by algae

  2. ((b))

    Rotting of aquatic plants in lakes and estuaries

  3. ((c))

    Concentration of inorganic fertilizers in lakes

  4. ((d))

    Farmlands being located near lakes and estuaries

Show Answer
Answer: ((c))

Concentration of inorganic fertilizers in lakes

Option 3 is the right answer.

As seen in the passage (last paragraph) -- The phosphates and nitrates applied to farmlands as inorganic fertilizers, concentrate in lakes and estuaries causing algal blooms due to which wide expanses of water get choked, plants rot, oxygen is used up and fish die.

alternatives given. Select the most appropriate option for each blank.

If you don’t have a lump sum to invest in a fixed deposit, you can (1)______ opt for a longterm recurring deposit, (2)______ the minimum amount of monthly investment is (3)______ low as Rupees 100. At the end of the (4)______ you get back the amount invested (5)______ with the interest earned on it. It is a good way of saving money regularly.

156

Select the most appropriate option to fill in blank No.5.

  1. ((a))

    along

  2. ((b))

    among

  3. ((c))

    as well as

  4. ((d))

    besides

Show Answer
Answer: ((a))

along

Option 1 is the right answer--Along.

Let's see the meaning of each word so that by elimination we can find the right word for the blank.

  • Along =  together with.
  • Among =  surrounded by other things.
  • As well as= in addition to.
  • besides = apart from

 

The given sentence is about the return of the investment with the interest earned. So, the only word that fits the context is--'Along'.

The correct option is - 1 = Along.

157

Select the most appropriate option to fill in blank No. 2.

  1. ((a))

    where

  2. ((b))

    when

  3. ((c))

    wherefore

  4. ((d))

    whenever

Show Answer
Answer: ((a))

where

Option 1 is the right answer--Where.

Let's see the meaning of each word so that by elimination we can find the right word for the blank.

Though these are all question words they can be used as adverbs too.

  • Where = at; in [ the place or situation in which.].
  • When = used for time.
  • Wherefore= for what reason.
  • Whenever = at whatever time or occasion.

 

The given sentence is about the minimum amount for investing. So, the only word that fits the context is - Where.

The correct option is - 1 = Where.

158

Select the most appropriate option to fill in blank No. 3.

  1. ((a))

    as

  2. ((b))

    so

  3. ((c))

    too

  4. ((d))

    just

Show Answer
Answer: ((a))

as

Option 1 is the right answer--As

Let's see the meaning of each word so that by elimination we can find the right word for the blank.

  • As = as ... as is used to compare things of the same level**.‘as’** an adverb modifies the adjective / adverb that follows ; with a preposition / conjunction ‘as’ after it - as tall as [adv+ adj / adv + prep / conj]
  • So =  a subordinate conjunction showing purpose.
  • Too= adverb meaning excessive / also
  • Just = fair / only

 

The given sentence is about comparing the minimum amount for investing. So, the only word that fits the context is - 'as'.

The correct option is - 1 = As

159

Select the most appropriate option to fill in blank No. 4.

  1. ((a))

    timing

  2. ((b))

    time

  3. ((c))

    tenure

  4. ((d))

    interval

Show Answer
Answer: ((c))

tenure

Option 3 is the right answer -- Tenure.

Let's see the meaning of each word so that by elimination we can find the right word for the blank.

  • Timing = regulation of speed or controlling the time when something happens.
  • Time =  duration or precise moment that something happens.
  • Tenure = length of time that something is held; time span for something
  • Interval = a pause or break in any activity.

 

The given sentence is about the time span of the investment. So, the only word that fits the context is - 'Tenure'.

The correct option is - 3 = Tenure.

160

Select the most appropriate option to fill in blank No. 1.

  1. ((a))

    sure

  2. ((b))

    assured

  3. ((c))

    surely

  4. ((d))

    ensure

Show Answer
Answer: ((c))

surely

Option 3 is the right answer--Surely.

Let's see the meaning of each word , so that by elimination we can find the right word for the blank.

  • Sure = certain
  • Assured = confident
  • Surely = certainly
  • Ensure = to make sure

The given sentence is about investing. So, the only word that fits the context is - Surely. Moreover, based on the structure of the sentence, an adverb (words describing the verbs - here the verb is opt) should be used.

The correct option is - 3 = Surely.

161

Select the most appropriate ANTONYM of the given word.

MORTALITY

  1. ((a))

    lethality

  2. ((b))

    death

  3. ((c))

    fatality

  4. ((d))

    birth

Show Answer
Answer: ((d))

birth

The correct answer is "birth".

Key Points

  • Mortality :death; the quality or state of being mortal.
  • For Example - Even the strongest superheroes face mortality when confronted with their greatest adversaries**.**
  • "Birth: an act or instance of being born.
  • For Example -"Yesterday, we celebrated the joyous birth of a healthy baby girl, bringing immense happiness to the entire family.

Therefore, the correct answer is "option 4".

Additional Information

  • Lethality: causing death; deadly; fatal.
  • Fatality: death resulting from a disaster.
162

Select the most appropriate ANTONYM of the given word.

ADEPT

  1. ((a))

    inept

  2. ((b))

    expert

  3. ((c))

    proficient

  4. ((d))

    deft

Show Answer
Answer: ((a))

inept

Option 1 is the right answer: inept.

  • Adept = a highly skilled or well-trained person.
  • Inept = having or showing no skill; clumsy.
  • Expert =  person who is very skilled at doing something.
  • Proficient = competent or skilled in doing something.
  • Deft = quick in one's movements.
<br>

The antonym of 'adept' is 'inept.'

163

Select the most appropriate ANTONYM of the given word.

RECKLESS

  1. ((a))

    brash

  2. ((b))

    heedless

  3. ((c))

    daring

  4. ((d))

    cautious

Show Answer
Answer: ((d))

cautious

Option 4 is the right answer - Cautious.

  • Reckless means rash or impetuous.
  • Cautious means someone who is cautious and avoids risks.
  • Brash means showing little respect and too much confidence
  • Heedless means not attentive, careless

So, the opposite/ antonym of 'reckless' is 'cautious'.

164

Select the most appropriate ANTONYM of the given word.

ENDURANCE

  1. ((a))

    patience

  2. ((b))

    persistence

  3. ((c))

    tolerance

  4. ((d))

    indolence

Show Answer
Answer: ((d))

indolence

Option 4 is the right answer: indolence.

  • Endurance = something that lasts or withstands wear and tear.
  • Patience = able to stay calm and not get annoyed.
  • Persistence = determination.
  • Tolerance = capacity to endure pain or hardship.
  • Indolence = laziness / inability
<br>

The antonym/opposite of 'endurance' is 'indolence'.

165

Select the most appropriate ANTONYM of the given word.

INSIDIOUS

  1. ((a))

    treacherous

  2. ((b))

    sincere

  3. ((c))

    stealthy

  4. ((d))

    astute

Show Answer
Answer: ((b))

sincere

Here the correct answer is Sincere.

Key Points

  • The word "insidious" means something that is working in a hidden and harmful way, often causing harm gradually and without being noticed.
  • For example, a disease can be insidious because it can spread silently and cause damage without the person realizing it. Therefore, the opposite of "insidious" would be something that is honest, open, and straightforward, which is the meaning of "sincere".
  • Example sentences using "insidious" and "sincere":
  • The insidious virus spread throughout the community, infecting many people before anyone realized it was there.
  • The insidious effects of pollution on our health are becoming more and more evident.
  • She was a sincere and trustworthy friend who always spoke her mind and never hid anything from anyone.
  • Thus, the correct answer is Option 2.

Additional Information

  • Option 1) "Treacherous" is a synonym of "insidious" and not its antonym.
  • Option 3) "Stealthy" refers to something that is done in a quiet and secretive way, which can be related to "insidious" but not its antonym.
  • Option 4) "Astute" means having sharp insight or shrewdness, which is not related to the meaning of "insidious" or its antonym.
  • Therefore, the correct answer is option 2) sincere.
166

Select the most appropriate option to fill in the blank.

They postponed ______ on vacation due to adverse weather conditions.

  1. ((a))

    to go

  2. ((b))

    for going

  3. ((c))

    to be gone

  4. ((d))

    going

Show Answer
Answer: ((d))

going

The correct Option is 4: Going.

The given sentence is in the continuous tense of the passive form which takes the form of-- past verb [ed] + verb+ ing. ex: 'postponed going'.

  • to go=is a preposition + verb =to+go which takes another preposition 'to' after it when referring to places.
  • for going= is a preposition +gerund [ ing form of verb] --for + go+ing [ is used to talk about the function]
  • to be gone= to be [verb] + past participle
  • going= continuous form of the verb [ which combines with the past verb to form continuous tense in a passive voice sentence] like in the given sentence.
  • Also, postpone is followed by a gerund. So 'going' is the most appropriate answer.

Thus only option 4 fits the blank appropriately.

167

Select the most appropriate option to fill in the blank.

______ of these boys is doing anything worthwhile.

  1. ((a))

    Either

  2. ((b))

    Each

  3. ((c))

    None

  4. ((d))

    Both

Show Answer
Answer: ((c))

None

The correct option is 3. i.e. None.

First, let us understand the meaning of the words:

  • Either= one or the other.
  • Each= everyone in a group.
  • None= not one / not any.
  • Both= two things identified together

 

The sentence has a singular verb 'is'. So, the subject word that fits the blank is -'None'  [ it means 'no one' which is singular].-S+V+O [ subject-verb agreement].

The correct option is  3-- None.

168

Select the most appropriate option to substitute the underlined segment. If no substitution is required select 'No substitution'.

If you will bring a letter of introduction, I will consider your request.

  1. ((a))

    No substitution

  2. ((b))

    If you bring

  3. ((c))

    If you will be bringing

  4. ((d))

    If you brings

Show Answer
Answer: ((b))

If you bring

Option 2 is the right answer: If you bring.

The given sentence is a conditional starting with 'if'.

In conditional phrases, present tense forms are used to talk about the future.

So, 'if you will bring' should be replaced with 'if you bring'.

The correct sentence is --If you bring a letter of introduction, I will consider your request.

169

Select the most appropriate option to substitute the underlined segment. If no substitution is required select 'No substitution'.

This is one of the boldest economic reform that have ever been introduced.

  1. ((a))

    economic reforms that has ever

  2. ((b))

    economic reform that has ever

  3. ((c))

    economic reforms that have ever

  4. ((d))

    No substitution

Show Answer
Answer: ((c))

economic reforms that have ever

The correct answer is 'economic reforms that have ever.'

Key Points

  • According to the rule, 'one of' is the phrase with this phrase use 'a plural noun'
  • In the given underlined phrase, economic is an adjective which is used to qualify a noun 'reform' hence, according to the rule we need to use a plural noun i.e. reforms
  • on the other hand, after this plural noun, a relative pronoun is used i.e. 'that' hence we need to use a verb in a plural form according to the antecedent rule.
  • Thus the correct sentence is- This is one of the boldest economic reforms that have ever been introduced.

Additional Information

Now, let's look at the following points-

  • General structure - One of  the + Subject (Plural) + Verb (singular)
  • But, when one of the + plural + relative pronoun the verb that follows the relative pronoun agrees in number with the word that comes immediately before the relative pronoun.
  • Therefore the verb used will be plural.
170

Select the most appropriate option to substitute the underlined segment. If no substitution is required select 'No substitution'.

She has no other hobby but that of collecting coins.

  1. ((a))

    Not other hobbies but

  2. ((b))

    No substitution

  3. ((c))

    No another hobby but

  4. ((d))

    No other hobby than

Show Answer
Answer: ((d))

No other hobby than

Option 4 is the right answer: No other hobby than.

Given the context of the sentence, 'No other hobby' is used to show an exception through comparison. So, the word after it should be 'than' instead of 'but'.

'Other than' after a negative 'no' means that it is the only exception to what follows it.

Option 4 is the correct substitute.

171

Identify the segment in the sentence which contains the grammatical error. If there is no error, select 'No error'.

Among the reasons cited by the employee, for quitting the job, were the pressure of work, the outstation duties and desiring to pursue her hobbies.

  1. ((a))

    Among the reasons cited by the employee

  2. ((b))

    and desiring to pursue her hobbies

  3. ((c))

    No error

  4. ((d))

    were the pressure of work, the outstation duties

Show Answer
Answer: ((b))

and desiring to pursue her hobbies

The option that has the error is option 2: and desiring to pursue her hobbies.

Desiring is a continuous form of the verb. Based on the grammatical structure of the sentence, however, a simple form is required-- desire.

Correct Sentence: Among the reasons cited by the employee, for quitting the job, were the pressure of work, the outstation duties and desire to pursue her hobbies.

172

Identify the segment in the sentence which contains the grammatical error. If there is no error, select 'No error'.

The monsoon have, in the past five days, retreated from most parts of the country.

  1. ((a))

    The monsoon have

  2. ((b))

    in the past five days

  3. ((c))

    No error

  4. ((d))

    retreated from most parts

Show Answer
Answer: ((a))

The monsoon have

The correct option is 1: The monsoon have. [ has the error].

The verb always has to agree with the subject. In the given sentence, the subject is 'monsoon' which is singular. So, the verb should be singular too.

'Have' is a 'perfect tense auxiliary' for plural  - instead, we should  use 'has'

Correct sentence: The monsoon has, in the past five days, retreated from most parts of the country.

173

Select the most appropriate meaning of the underlined idiom in the sentence.

In spite of the high sounding words, his speech fell flat on the audience.

  1. ((a))

    failed to make an impact

  2. ((b))

    impressed a lot

  3. ((c))

    appealed to the sentiments of the audience

  4. ((d))

    could not be heard clearly

Show Answer
Answer: ((a))

failed to make an impact

Option 1 is the right answer.

Fell flat = failed to make an impact / does not have the intended impact.

Example : Exit polls had earlier predicted a big win for the ruling AAP even as BJP leaders maintained that the surveys will fall flat.

174

Select the most appropriate meaning of the underlined idiom in the sentence.

All those who carried the day in reality shows failed to make a mark later.

  1. ((a))

    made a guest appearance

  2. ((b))

    won a victory

  3. ((c))

    acted as hosts

  4. ((d))

    participated

Show Answer
Answer: ((b))

won a victory

Option 2 : won a victory is the right meaning of the given idiom.

Carried the day means --Won a victory / to be a winner in a contest such as a battle, debate, or sporting competition.

Option 2 is the right answer.

175

Select the most appropriate meaning of the underlined idiom in the sentence.

Simran was under tremendous stress because she had too many irons in the fire.

  1. ((a))

    She had made a lot of risky investments

  2. ((b))

    She was suffering from many ailments

  3. ((c))

    She was involved in many activities

  4. ((d))

    She had too many clothes to iron

Show Answer
Answer: ((c))

She was involved in many activities

The correct answer is She was involved in many activities.

Key Points:-

  • The idiom 'too many irons in the fire' means  'to be involved in many activities at the same time'.
  • Example: In 2019, I had too many irons in the fire that ultimately fractured my focus and affected my performances.
176

Select the most appropriate meaning of the underlined idiom in the sentence.

My brother has decided to settle in Mumbai for good.

  1. ((a))

    for better income

  2. ((b))

    for new opportunities

  3. ((c))

    for a while

  4. ((d))

    forever

Show Answer
Answer: ((d))

forever

Option 4 is the right answer.

The idiom 'for good' means 'forever; definitively.'

Example : A few shots of this drug cleared up the disease for good.

177

Select the most appropriate meaning of the underlined idiom in the sentence.

The aged man preferred to die in harness than lead a rusted life.

  1. ((a))

    to keep one's belongings safe

  2. ((b))

    to live in perpetual slavery

  3. ((c))

    to continue occupation till death

  4. ((d))

    to lead a life of comfort

Show Answer
Answer: ((c))

to continue occupation till death

Option 3 is the right answer.

To die in harness means to die while still working or active, to work till the end.

Option 3 is the right meaning of the given idiom.

178

Identify the segment in the sentence which contains the grammatical error. If there is no error, select 'No error'.

If she left now, she would reach the station on time.

  1. ((a))

    she would reach

  2. ((b))

    the station on time

  3. ((c))

    if she left now

  4. ((d))

    No error

Show Answer
Answer: ((d))

No error

The correct answer is Option 4)

Explanation:

  • The given sentence is conditional-- the 2nd conditional has the form--If + simple past + present conditional.

Ex: If it rained, you would get wet.

  • The type 2 conditional refers to an unlikely or hypothetical condition and its probable result. These sentences are not based on the actual situation. In type 2 conditional sentences, the time is now or any time and the situation is hypothetical.
  • 'Left is denoting the conditional clause is in simple past i.e. 2nd condition is applied here, so the main clause should have 'would + V1.'

The given sentence has been written in the right format. So, it has no error.

179

Select the most appropriate option to substitute the underlined segment. If no substitution is required select 'No substitution'.

It would be wise to accept the company's offer lest you should regret later.

  1. ((a))

    lest you shall not regret

  2. ((b))

    lest you should not regret

  3. ((c))

    lest you would regret

  4. ((d))

    No substitution

Show Answer
Answer: ((d))

No substitution

Option 4 is the right answer.

The meaning of the word lest : in order to prevent any possibility that something will happen. The given sentence is a bit of advice**.** So, the phrase has been used correctly in the given context and requires no substitution.

180

Select the option which is the most appropriate one-word substitution for the given group of words.

One who holds established opinions.

  1. ((a))

    atheist

  2. ((b))

    monotheist

  3. ((c))

    orthodox

  4. ((d))

    missionary

Show Answer
Answer: ((c))

orthodox

The right answer is option 3: orthodox.

Orthodox means conforming to the traditional or generally accepted rules or beliefs. / One who holds established opinions.

Atheist means a person who disbelieves or lacks belief in the existence of God.

Monotheist is the person who believes that there is only one God.

Missionary is a person sent on a religious mission.

One word for 'One who holds established opinions.' is 'orthodox'.

181

Select the option which is the most appropriate one-word substitution for the given group of words.

Statement open to more than one interpretation.

  1. ((a))

    ambrosial

  2. ((b))

    ambiguous

  3. ((c))

    ambidextrous

  4. ((d))

    ambushed

Show Answer
Answer: ((b))

ambiguous

Option 2 is the right word: ambiguous.

  • Ambiguous can refer to a statement, act, or attitude that is capable of two or more often contradictory interpretations, usually accidentally or unintentionally so: an ambiguous passage in the preamble.
  • Examples
  • His reply to my question was somewhat ambiguous.
  • The wording of the agreement is ambiguous.
  • The government has been ambiguous on this issue.

Additional Information

  • Ambrosial = having a very pleasant taste or smell.
  • Ambidextrous = able to use the right and left hands equally well.
  • Ambushed = make a surprise attack on (someone) from a concealed position.
<br>

One word for 'open to more than one interpretation' is 'ambiguous'.

182

Select the option which is the most appropriate one-word substitution for the given group of words.

<br>

A decision which cannot be taken back

  1. ((a))

    irrevocable

  2. ((b))

    infallible

  3. ((c))

    irrational

  4. ((d))

    indelible

Show Answer
Answer: ((a))

irrevocable

Option 1 is the correct one-word: irrevocable.

  • Irrevocable = impossible to change / that cannot be taken back.
  • Infallible = absolutely trustworthy.
  • Irrational = not logical or reasonable.
  • Indelible = that cannot be removed.
<br>

Option 1 is the right word for the given phrase.

183

Select the option which is the most appropriate one-word substitution for the given group of words. 

One who travels by foot

  1. ((a))

    propagandist

  2. ((b))

    protagonist

  3. ((c))

    paediatrician

  4. ((d))

    pedestrian

Show Answer
Answer: ((d))

pedestrian

Option 4 is the right answer: Pedestrian.

  • Propagandist = is a person who tries to persuade people to support a particular idea or group.
  • Protagonist = the leading actor or principal character in a book, play, movie etc.
  • Paediatrician = a medical practitioner specializing in children and their diseases.
  • Pedestrian = a person who is walking on the road, travelling on foot.
<br>

One word for 'One who travels by foot' is ' pedestrian'.

184

Select the option which is the most appropriate one-word substitution for the given group of words.

Animals living in flocks.

  1. ((a))

    Gregarious

  2. ((b))

    Bohemian

  3. ((c))

    Social

  4. ((d))

    Herbivorous

Show Answer
Answer: ((a))

Gregarious

Option 1 is the right answer : Gregarious.

  • Gregarious means animals living in flocks.
  • Bohemian means artistic people who live in an unconventional way.
  • Social means someone or something that enjoys being with others.
  • Herbivorous means an animal that eats only plants.

So, one word for animal living in flocks is 'gregarious'.

185

Select the most appropriate option to substitute the underlined segment. If no substitution is required select 'No substitution'.

His employees were asking him for a raise for a long time now.

  1. ((a))

    asked him for a rise

  2. ((b))

    No substitution

  3. ((c))

    are asking him of a raise

  4. ((d))

    have been asking him for a raise

Show Answer
Answer: ((d))

have been asking him for a raise

Option 4 is the right answer.

'For a long time' means that the employees began asking him for a raise since sometime in the past and the action is still going on in the present.

So, the present perfect continuous tense 'have been asking him for a raise' is the correct substitute.

Correct Sentence: His employees have been asking him for a raise for a long time now.

186

Identify the segment in the sentence which contains the grammatical error. If there is no error, select 'No error'.

The detective compared the forged signature to the original.

  1. ((a))

    the forged signature

  2. ((b))

    to the original

  3. ((c))

    The detective compared

  4. ((d))

    No error

Show Answer
Answer: ((b))

to the original

Option 2 is the right answer.

  • The preposition 'to' is used to liken two things.
  • The preposition  'with' is used to juxtapose two things.-- forged and original signatures.
  • So option 2 'to the original' should be replaced with - 'with the original'.
187

Identify the segment in the sentence which contains the grammatical error. If there is no error, select 'No error'.

He wouldn't let anyone to drive his new car.

  1. ((a))

    his new car

  2. ((b))

    anyone to drive

  3. ((c))

    No error

  4. ((d))

    He wouldn't let

Show Answer
Answer: ((b))

anyone to drive

Option 2 is the one with the error.

Key Points

  • Let is followed by a bare infinitive (V1) in the following cases:

Structure: Subject + let + object + bare infinitive (infinitive without 'to')

  • When 'Let' means 'allow' or 'give permission'

Example- David's mother let him use her car.

  • When 'let' means 'allow' in the sense of 'make something possible'

Example- This student card lets you book discount flights.

  • In passive voice too, 'let' is followed by bare infinitive
  • In the end, the hostages were let go.

Since, 'let' is used here in the sense of permission, option 2 is the right answer.

The correct sentence is: He wouldn't let anyone drive his new car.

188

Select the most appropriate option to fill in the blank.

Please sign these documents ______ ink so that they can be preserved.

  1. ((a))

    with

  2. ((b))

    by

  3. ((c))

    from

  4. ((d))

    in

Show Answer
Answer: ((d))

in

The correct answer is option 4) i.e. 'in'.

Key Points

  • We always use the preposition 'in' when we describe some characteristic intrinsic to the writing itself.
  • IN: To write in something (where 'in' denotes a method or style, not location or position) is to describe some characteristic intrinsic to the writing itself:
  • in cursive
  • in Russian
  • in Ink
  • The correct sentence: "Please sign these documents in ink so that they can be preserved."

Confusion Points

  • You might get confused with in and with. But, there is a difference:
  • WITH: To write with something (where 'with' indicates agency and not accompaniment) usually relates something about the writer, the writer's tools, or the writing process; I can write
  • with a feather quill
  • with a flourish
  • with the memory still fresh in my mind

Additional Information

Prepositions show the relationship between 2 words :

  • With-- is used for instruments: "She hit him with a stick."
  • By-- is used for agents: "It was written by a great poet."
  • From-- is used to show the starting point: "The concert is from 6 p.m. onwards."
189

Select the most appropriate option to fill in the blank.

The company has appointed twice as ______ women as men.

  1. ((a))

    Most

  2. ((b))

    Many

  3. ((c))

    More

  4. ((d))

    Much

Show Answer
Answer: ((b))

Many

Option 2 is the right fit for the blank -- Many.

  • Many is used for countable nouns (Example : many items, many people).
  • Much is used for uncountable nouns (Example : how much milk should I buy?).
  • More is used for comparing things.
  • Most is used in a superlative adjective.

Women is a countable noun. So, the correct word for the blank before it will be 'many'.

190

Select the most appropriate option to fill in the blank.

The majority ______ that the country can progress under able leadership.

  1. ((a))

    have believed

  2. ((b))

    believe

  3. ((c))

    is believing

  4. ((d))

    believes

Show Answer
Answer: ((d))

believes

Option 4 is the right answer.

<br>

Key Points 

  • 'Majority' can be either singular or plural, as it follows the rule of collective noun.
  • If all the members of collective nouns are acting individually, we use a plural verb.
  • Example - The majority of e-mail users are upset about the increase in spam.
  • If all the members of collective nouns are acting unanimously, we use a singular verb.
  • Example- A 90% majority is opposed to scheduling the next meeting at 6:00 A.M.

 Since all the members of the collective noun are acting unanimously, the correct verb to be followed is singular i.e. 'believes'.

Sentence: The majority believes that the country can progress under able leadership.

191

Select the INCORRECTLY spelt word.

  1. ((a))

    ecstacy

  2. ((b))

    diagnosis

  3. ((c))

    athlete

  4. ((d))

    accumulate

Show Answer
Answer: ((a))

ecstacy

Option 1 is the correct answer: ecstacy.

All the other options are spelt correctly, except 'ecstacy' which should be spelt as -- 'ecstasy'.

Ecstasy means a state of extreme happiness.

Note: The meaning of other words are- 

Diagnosis: analysis or investigation of the cause or nature of a condition or situation

Accumulate: to collect or gather a large number of things over a period of time

192

Select the INCORRECTLY spelt word.

  1. ((a))

    Schedule

  2. ((b))

    Vacuum

  3. ((c))

    Trenquility

  4. ((d))

    Acceleration

Show Answer
Answer: ((c))

Trenquility

The correct answer is- Trenquility

Key Points  

  • Let's explore the meaning of the correct word:
  • Tranquillity(noun): A peaceful, calm state, without noise, violence, worry, etc. (एक शांतिपूर्ण, शांत अवस्था, बिना शोर, हिंसा, चिंता आदि।)
  • Synonym: Peace, Repose
  • Example: living in peace and tranquillity.

From the above line, we can say that: Trenquility is the correct answer.

Additional Information 

  • Let's explore the meaning of the other words:
  • Schedule(noun): A list of planned activities or things to be done showing the times or dates when they are intended to happen or be done. (नियोजित गतिविधियों या की जाने वाली चीजों की सूची, समय या तारीखों को दर्शाती है जब वे होने या किए जाने का इरादा रखते हैं।)
  • Vacuum(noun): Space from which most or all of the matter has been removed, or where there is little or no matter. (वह स्थान जहाँ से अधिकांश या सभी पदार्थ हटा दिए गए हों, या जहाँ बहुत कम या कोई पदार्थ न हो।)
  • Acceleration(noun): The increase in something's speed, or its ability to go faster. (किसी चीज की गति में वृद्धि, या उसके तेज जाने की क्षमता।)
193

Select the INCORRECTLY spelt word.

  1. ((a))

    Aggregate

  2. ((b))

    Acquisition

  3. ((c))

    Acquaintance

  4. ((d))

    Explaination

Show Answer
Answer: ((d))

Explaination

The correct answer is Option 4)

Key Points

  • The correct spelling is 'explanation.'
  • Explanation means a statement or account that makes something clear.
  • The meaning of other words are:
  • Aggregate: something formed by adding together several things or amounts
  • Acquisition:  the process of getting or taking over something
  • Acquaintance: a person known to one but is not a close friend
194

Select the correctly spelt word.

  1. ((a))

    omelete

  2. ((b))

    omelette

  3. ((c))

    omlate

  4. ((d))

    omelate

Show Answer
Answer: ((b))

omelette

The correct answer is Option 2 : Omelette.

The correct spelling is 'Omelette'  which means a dish made by mixing eggs together and frying them.

The other words are spelt incorrectly.

195

Select the correctly spelt word.

  1. ((a))

    humillated

  2. ((b))

    humelated

  3. ((c))

    humilated

  4. ((d))

    humiliated

Show Answer
Answer: ((d))

humiliated

Option 4 is the right spelling.

Humiliated means to make someone feel ashamed and foolish by injuring their dignity and pride.

Other words are incorrectly spelled.

196

Select the most appropriate synonym of the given word.

JEOPARDY

  1. ((a))

    protection

  2. ((b))

    prevention

  3. ((c))

    peril

  4. ((d))

    promotion

Show Answer
Answer: ((c))

peril

Option 3 is the right answer: peril.

  • Jeopardy: in danger of being damaged or destroyed.
  • Protection:  keeping something or someone safe.
  • Peril: serious and immediate danger.
  • Promotion:  to advertise something.
<br>

The synonym of 'jeopardy' is 'peril'.

197

Select the most appropriate synonym of the given word.

INCESSANT

  1. ((a))

    intermittent

  2. ((b))

    persistent

  3. ((c))

    transient

  4. ((d))

    inconstant

Show Answer
Answer: ((b))

persistent

Option 2 is the right answer.i.e: Persistent.

Lets us look into the meaning of the given words:

  • Incessant: continuing or following without interruption.
  • Persistent: lasting for a long time or difficult to get rid of
  • Transient: lasts only a short time.
  • Inconstant: frequently changing.

 

Both the words-Transient and Inconstant relate to something that lasts only for a short time.

The words Incessant and Persistent both relate to something that lasts for a long time.

So, Incessant and Persistent are synonyms.

198

Select the most appropriate synonym of the given word.

FATIGUE

  1. ((a))

    liveliness

  2. ((b))

    weariness

  3. ((c))

    freshness

  4. ((d))

    brightness

Show Answer
Answer: ((b))

weariness

Option 2 is the right answer -- weariness.

  • Fatigue means extreme tiredness.
  • Weariness means extreme tiredness; fatigue.
  • Liveliness / Freshness and Brightness all mean are all synonymous and mean outgoing, energetic, and enthusiastic.

So, option 2 'weariness' is the synonym of 'fatigue'. Other options are antonyms.

199

Select the most appropriate synonym of the given word.

IGNOMINY

  1. ((a))

    morality

  2. ((b))

    virtue

  3. ((c))

    disgrace

  4. ((d))

    esteem

Show Answer
Answer: ((c))

disgrace

Option  3 is the right answer: Disgrace.

  • Ignominy: public shame or disgrace.
  • Morality: the distinction between good and evil or between right and wrong.
  • Virtue: high moral standards.
  • Disgrace: bring shame or discredit.
  • Esteem: respect and admire.
<br>

Thus, the synonym of 'Ignominy' is 'disgrace'.

200

Select the most appropriate antonym of the given word.

SANCTION

  1. ((a))

    grace

  2. ((b))

    prohibition

  3. ((c))

    mercy

  4. ((d))

    denial

Show Answer
Answer: ((b))

prohibition

The correct answer is"Prohibition".

Key Points

  • 'Sanction' means official approval or permission for an action. ('मंजूरी' or 'स्वीकृति').
  • Example: "The project could not proceed until it received official sanction."
  • 'Prohibition' means the action of forbidding something, especially by law. ('निषेध' or 'प्रतिबंध').
  • Example: "There was a strict prohibition on smoking in the premises."

Therefore, the correct answer is 'option 2'.

Additional Information

  • 'Grace' ('कृपा'):  It denotes simple elegance or refinement of movements, courteous goodwill or an attractively polite manner of behaving.
  • 'Mercy' ('दया'): It is a noun that expresses compassion or forgiveness shown toward someone whom it is within one's power to punish or harm.
  • 'Denial' ('इनकार'): It refers to the action of declaring something to be untrue or the refusal of something requested or desired.

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