Official Paper

SSC CPO Tier- I Previous Year Paper (Held On: 11 December 2019 Shift 2)

200 questions · 120 minutes · with answers · free

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General Intelligence and Reasoning (50 questions)

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

Piquant
Pierce
Patent
Perjury
Pasture

((a))
5, 3, 4, 1, 2
((b))
3, 5, 4, 1, 2
((c))
3, 4, 5, 1, 2
((d))
5, 3, 4, 2, 1

Show Answer

Answer: ((d))

5, 3, 4, 2, 1

Pasture comes first.

It is followed by Patent.

Patent is followed by Perjury.

Perjury is followed by Pierce.

Pierce is followed by Piquant.

The correct dictionary order is,

Pasture → 3) Patent → 4) Perjury → 2) Pierce → 1) Piquant

Hence, option 4 is the correct answer.

Rishabh starts walking towards west. After walking 70 m he turns to left and walks 35m straight. He turns left again and walks 30 m, again he turns to the left and walks a distance

of 35 m. How far is he from the starting point?

((a))
40 m
((b))
100 m
((c))
70 m
((d))
60 m

Show Answer

Answer: ((a))

40 m

Drawing diagram according to the given information,

He is 40 m from the starting point.

Hence, “40 m” is the correct answer.

Four words have been given out of which three are alike in some manner, while one is

different. Choose the odd one.

((a))
Rose
((b))
Apple
((c))
Melon
((d))
Orange

Show Answer

Answer: ((a))

Rose

Apple, Orange and Melon are fruits.

Whereas,

Rose is a flower.

Hence, “rose” is the odd one.

Read the given statement and conclusions carefully and decide which of the conclusions logically follow(s) from the statement.

Statement:

“On October 2, let us pledge to make the country free of single - use plastic.” - Prime Minister of India

Conclusions:

I. All Indians should reduce and then completely eliminate the consumption of single - use plastic like packaged drinking water

II. India is going to be completely plastic free on October 2

((a))
Only conclusion I follows
((b))
Only conclusion II follows
((c))
Neither conclusion I nor II follows
((d))
Both conclusions I and II follow

Show Answer

Answer: ((a))

Only conclusion I follows

From the given statement,

Conclusion 1 : This follows, because it is telling us that all Indians should reduce and then completely eliminate the consumption of single - use plastic like packaged drinking water.

Conclusion 2 : This does not follow, because it is given ‘On October 2, let us pledge to make the country free of single - use plastic’, but it is not mentioned that ‘India is going to be completely plastic free on October 2’.

Hence, “only conclusion 1“ follow.

In the given Venn Diagram, the triangle represents politicians, the circle represents lawyers, the rectangle represents teachers and the square represents businessmen. The numbers given in the diagram represent the number of persons of that particular category.

How many lawyers are also teachers, but are neither politicians nor businessmen?

((a))
18
((b))
7
((c))
12
((d))
10

Show Answer

Answer: ((a))

The shaded part represents lawyers who are teachers, but are neither politicians nor businessmen i.e., 18

Hence, “18” is the correct answer.

In a certain code language, GOURD is written as 21 - 4 - 5 - 10 - 24. How will BRINJAL be written in the same code language?

((a))
26 - 10 - 3 - 14 - 18 - 1 - 16
((b))
25 - 9 - 3 - 14 - 18 - 1 - 15
((c))
2 - 10 - 3 - 14 - 18 - 1 - 12
((d))
26 - 10 - 5 - 14 - 18 - 2 - 16

Show Answer

Answer: ((a))

26 - 10 - 3 - 14 - 18 - 1 - 16

The pattern followed is,

A, E, I, O, and U are vowels.

They are numbered as,

A → 1, E → 2, I → 3, O → 4, U → 5

For consonants, the opposite value is used and it is added by 1.

For GOURD,

G is 20^th letter from the reverse, 20 + 1 = 21

O is coded as 4

U is coded as 5

R is 9^th letter from the reverse, 9 + 1 = 10

D is 23^rd letter from the reverse, 23 + 1 = 24

So,

GOURD is coded as ‘21 - 4 - 5 - 10 - 24’

Similarly,

For BRINJAL,

B is 25^th letter from the reverse, 25 + 1 = 26

R is 9^th letter from the reverse, 9 + 1 = 10

I is coded as 3

N is 13^th letter from the reverse, 13 + 1 = 14

J is 17^th letter from the reverse, 17 + 1 = 18

A is coded as 1

L is 15^th letter from the reverse, 15 + 1 = 16

So,

BRINJAL is coded as ‘26 - 10 - 3 - 14 - 18 - 1 - 16’

Hence, “26 - 10 - 3 - 14 - 18 - 1 - 16” is the correct answer.

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

Males, Fathers, Accountants

((a))
((b))
((c))
((d))

Show Answer

Answer: ((b))

Males can be fathers as well as accountants.

The correct Venn diagram representation is,

Hence, option 2 is the correct answer.

How many triangles are present in the given figure?

((a))
26
((b))
28
((c))
27
((d))
17

Show Answer

Answer: ((c))

The number of triangles in the given figure:

Hence, “27” is the correct answer.

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

12 - 3 + 15 × 5 ÷ 6 = ?

((a))
39
((b))
40
((c))
33
((d))
42

Show Answer

Answer: ((a))

By decoding given information,

+	-	×	÷
Means
-	×	÷	+

By interchanging signs and using BODMAS rule,

12 × 3 - 15 ÷ 5 + 6 = ?

12 × 3 - 3 + 6 = ?

36 - 3 + 6 = ?

42 - 3 = 39

Hence, “39” is the correct answer.

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

Star, Sun, Polaris

((a))
((b))
((c))
((d))

Show Answer

Answer: ((d))

Sun is a star in the centre of the solar system.

And,

Polaris is also a star.

The correct Venn diagram representation is,

Hence, option 4 is the correct answer.

Which of the options is the exact mirror image of the given figure when the mirror is held at the right side?

((a))
((b))
((c))
((d))

Show Answer

Answer: ((d))

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

Hence, option 4 is the correct answer.

If in a certain code HORSE is written as GINPQSRTDF, how will JOCKEY be written in that language?

((a))
KINPBDJLDFZX
((b))
IKNPDBJLFDZX
((c))
KIPNBDJLDFXZ
((d))
IKNPBDJLDFXZ

Show Answer

Answer: ((d))

IKNPBDJLDFXZ

The pattern followed is,

‘H’ is between ‘G’ and ‘I’

‘O’ is between ‘N’ and ‘P’

‘R’ is between ‘Q’ and ‘S’

‘S’ is between ‘R’ and ‘T’

‘E’ is between ‘D’ and ‘F’

So,

HORSE is written as GINPQSRTF

Similarly,

‘J’ is between ‘I’ and ‘K’

‘O’ is between ‘N’ and ‘P’

‘C’ is between ‘B’ and ‘D’

‘K’ is between ‘J’ and ‘L’

‘E’ is between ‘D’ and ‘F’

‘Y’ is between ‘X’ and ‘Z’

So,

JOCKEY is written as ‘IKNPBDJLDFXZ’

Hence, “IKNPBDJLDFXZ” is the correct answer.

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

((a))
((b))
((c))
((d))

Show Answer

Answer: ((c))

The pattern followed is,

The symbols in the image are rotated anti - clock wise and in every image a new symbol is added.

In the second image ‘+’ is added, in the third ‘?’ is added, and in the fourth image ‘o’ is added and the symbols are rotated anti - clock wise.

The image which will come next in the series is,

Hence, option 3 is the correct answer.

If the given figure is folded to form a cube, which sign will come opposite ‘ + ’?

((a))
%
((b))
@
((c))
S
((d))

Show Answer

Answer: ((d))

According to the given information,

‘*’ will face ‘%’

‘@’ will face ‘$’

And,

‘#’ will come opposite ‘ + ’.

Hence, “#” is the correct answer.

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

((a))
((b))
((c))
((d))

Show Answer

Answer: ((c))

The pattern followed is,

The symbols are move by two places anti - clock wise.

The image which will come next in the series is,

Hence, option 3 is the correct answer.

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?

((a))
((b))
((c))
((d))

Show Answer

Answer: ((a))

The paper when unfolded looks like,

Hence, option 1 is the correct answer.

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

4	18	23
19	330	?
3	6	1

((a))
350
((b))
529
((c))
550
((d))
530

Show Answer

Answer: ((d))

530

The pattern followed is,

For 1^st column,

4² = 16, 16 + 3 = 19

For 2^nd column,

18²= 324, 324 + 6 = 330

For 3^rd column,

23² = 529, 529 + 1 = 530

Hence, “530” is the correct answer.

Mayank started driving from his office to the hotel. He drove 10 km towards north. From there, he turned right and drove 8 km. Then, he turned right and drove 6 km. Again, he turned right and drove 5 km and reached his hotel. What is the shortest distance from the office to his hotel?

((a))
9 km
((b))
6 km
((c))
2 km
((d))
5 km

Show Answer

Answer: ((d))

5 km

Drawing diagram according to the given information,

Shortest distance from office to hotel = √3² + 4² = √25 = 5 km

Shortest distance from the office to the hotel is 5 km.

Hence, “5 km” is the correct answer.

Which of the options is the exact mirror image of the given figure when the mirror is held at the right side?

((a))
((b))
((c))
((d))

Show Answer

Answer: ((b))

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

Hence, option 2 is the correct answer.

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

((a))
((b))
((c))
((d))

Show Answer

Answer: ((a))

The pattern followed is,

The number of symbols keeps on increasing with the respective images and the position of the symbols is also shifted anti - clockwise.

The image which will come next in the series is,

Hence, option 1 is the correct answer.

From the given options, select the figure which is embedded in the following figure (rotation is NOT allowed)

((a))
((b))
((c))
((d))

Show Answer

Answer: ((a))

The figure which is embedded in the given figure is,

Hence, option 1 is the correct answer.

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

(9 * 8 * 7) * 13 * 5

((a))
-, ÷, ×, =
((b))
÷, -, =, ×
((c))
×, -, ÷, =
((d))
×, =, ÷, -

Show Answer

Answer: ((c))

×, -, ÷, =

Replacing signs and using BODMAS rule,

Option 1 → -, ÷, ×, =

(9 - 8 ÷ 7) × 13 = 5

(9 - 1.14) × 13 = 5

7.86 × 13 is not equal to 5

Option 2 → ÷, -, =, ×

(9 ÷ 8 - 7) = 13 × 5

(1.125 - 7) is not equal to 65

Option 3 → ×, -, ÷, =

(9 × 8 - 7) ÷ 13 = 5

(72 - 7) ÷ 13 = 5

65 ÷ 13 = 5

5 = 5

Option 4 → ×, =, ÷, -

(9 × 8 = 7) ÷ 13 - 5

(72 = 7) ÷ 13 - 5 is not correct.

Hence, option 3 is the correct answer.

Which of the given options would be a meaningful descending order of the following words?

Star
Satellite
Galaxy
Planet
Universe

((a))
2, 1, 5, 3, 4
((b))
3, 1, 5, 2, 4
((c))
5, 3, 1, 4, 2
((d))
5, 1, 3, 2, 4

Show Answer

Answer: ((c))

5, 3, 1, 4, 2

First comes Universe, which is everything.

Universe consists of galaxies.

Galaxies consists of stars.

Planets are followed by stars.

Satellites are followed by planets.

The correct order is,

Universe → 3) Galaxy → 1) Star → 4) Planet → 2) Satellite

Hence, option 3 is the correct answer.

From the given options, select the figure which is embedded in the following figure (rotation is NOT allowed).

((a))
((b))
((c))
((d))

Show Answer

Answer: ((c))

The figure which is embedded in the following figure is,

Hence, option 3 is the correct answer.

NOTE: This question was asked in the actual previous year paper.

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:

Some dancers are singers.
No singer is an actor.

Conclusions:

I. Some actors are singers.

II. All singers are dancers.

((a))
Only conclusion II follows
((b))
Neither conclusion I nor II follows
((c))
Only conclusion I follows
((d))
Either conclusion I or II follows

Show Answer

Answer: ((b))

Neither conclusion I nor II follows

Drawing the Venn diagram,

Conclusion 1: Some actors are singers → False (This is definitely false)

Conclusion 2: All singers are dancers → False (This is definitely false)

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

Four groups of numbers have been given, out of which three are alike in some manner and one is different. Select the group that is different.

((a))
632 : 325 : 236
((b))
561 : 615 : 165
((c))
426 : 642 : 246
((d))
289 : 829 : 928

Show Answer

Answer: ((a))

632 : 325 : 236

The pattern followed is,

Option 1 → 2, 3, 5 and 6 are the three numbers use to form the different combinations of given numbers.

Option 2 → 1, 5 and 6 are the three numbers use to form the different combinations of given numbers.

Option 3 → 2, 4 and 6 are the three numbers use to form the different combinations of given numbers.

Option 4 → 2, 8 and 9 are the three numbers use to form the different combinations of given numbers.

In all the number pairs only three numbers are used, except in ‘632 : 325 : 236’.

Hence, “632 : 325 : 236” is the odd group.

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

1, 11, 35, 79, ?, 251

((a))
105
((b))
152
((c))
150
((d))
149

Show Answer

Answer: ((d))

149

The pattern followed is,

Hence, “149” is the correct answer.

Select the option in which the number set shares the same relationship as that shared by the given number set.

(101, 106, 131)

((a))
(170, 202, 137)
((b))
(29, 34, 39)
((c))
(123, 128, 153)
((d))
(419, 424, 437)

Show Answer

Answer: ((c))

(123, 128, 153)

The pattern followed is,

101 + 5 = 106, 106 + 25 = 131

Similarly,

Option 1 → 170 + 32 = 202, 202 - 65 = 137

Option 2 → 29 + 5 = 34, 34 + 5 = 39

Option 3 → 123 + 5 = 128, 128 + 25 = 153

Option 4 → 419 + 5 = 424, 424 + 13 = 437

‘(123, 128, 153)’ share the same relationship as that shared by the given number set.

Hence, “(123, 128, 153)” is the correct answer.

If W = 46, BAT = 46, then ‘LAMB’ will be equal to:

((a))
54
((b))
52
((c))
56
((d))
28

Show Answer

Answer: ((c))

The pattern followed is,

The place value of ‘W’ is 23, 23 + 23 = 46

And,

The place value of ‘B’ is 2

The place value for ‘A’ is 1

The place value for ‘T’ is 20

BAT = 2 + 1 + 20 = 23, 23 + 23 = 46

Similarly,

For LAMB,

The place value for ‘L’ is 12

The place value for ‘A’ is 1

The place value for ‘M’ is 13

The place value of ‘B’ is 2

LAMB = 12 + 1 + 13 + 2 = 28, 28 + 28 = 56

So,

LAMB = 56

Hence, “56” is the correct answer.

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

105, 107, 103, ?, 101, 111

((a))
113
((b))
102
((c))
97
((d))
109

Show Answer

Answer: ((d))

109

The pattern followed is,

Hence, “109” is the correct answer.

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

40, 44, 22, 26, 13, ?

((a))
22
((b))
17
((c))
20
((d))
16

Show Answer

Answer: ((b))

The pattern followed is,

Hence, “17” is the correct answer.

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

Touch : Push

((a))
Run : Walk
((b))
Eat : Drink
((c))
Refuse : Accept
((d))
Speak : Shout

Show Answer

Answer: ((d))

Speak : Shout

Touch is to put hands upon something.

Push is to exert force on something or somebody.

Touch an touch refer to almost the same action, but push is with extra force.

Similarly,

Option 1 → Run and walk are different actions.

Option 2 → Eat and drink are different actions.

Option 3 → Refuse and accept are different actions.

Option 4 → Speak is to say something in order to convey information, whereas shout is to utter a loud cry expressing a strong emotion.

‘Speak : Shout’ share the same relationship as that shared by the given pair of words.

Hence, “speak : shout” is the correct answer.

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

K, I, G, E, C, ?

((a))
D
((b))
A
((c))
B
((d))
Z

Show Answer

Answer: ((b))

The pattern followed is,

Hence, “A” is the correct answer.

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

((a))
18
((b))
33
((c))
25
((d))
24

Show Answer

Answer: ((c))

18, 33 and 24 are divisible by 3.

Whereas,

25 is not divisible by 3.

Hence, “25” is the odd number.

‘Needle’ is related to ‘Sew’ in the same way as ‘Microscope’ is related to ‘__________’.

((a))
Magnify
((b))
Lens
((c))
Science
((d))
Laboratory

Show Answer

Answer: ((a))

Magnify

Sew is to stitch something with the help of a needle.

Similarly,

Microscope is an optical object that uses lens to produce magnified images of small objects.

Microscope is related to magnify.

Hence, “magnify” is the correct answer.

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

((a))
Dictionary
((b))
Book
((c))
Encyclopaedia
((d))
Thesaurus

Show Answer

Answer: ((b))

Book

Dictionary, Encyclopaedia and Thesaurus are providing information or content of a particular topic.

Whereas,

Book is a broader term that encompasses fictional stories, novels, biographies, and any written work containing information or a story.

Hence, “book” is the odd one.

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

Field : Farmer :: Observatory : ?

((a))
Astronomer
((b))
Telescope
((c))
Astronaut
((d))
Stars

Show Answer

Answer: ((a))

Astronomer

Farmer works in a field.

Similarly,

Astronomer works in an observatory.

Hence, “astronomer” is the correct answer.

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

Players : Team

((a))
Band : Musician
((b))
Flowers : Bouquet
((c))
Grapes : Dozen
((d))
Class : Students

Show Answer

Answer: ((b))

Flowers : Bouquet

'Team' is a group of players forming one side in a competitive game or sport.

Similarly,

Bouquet is an arranged bunch of flowers.

‘Flowers : bouquet’ share the same relationship as it is shared by the given pair of words.

Hence, 'flowers : bouquet' is the correct answer.

In a certain code language, pink is called wood, wood is called Pen, Pen is called colour and colour is called brown. In this language, which of the following is used for writing?

((a))
Pink
((b))
Brown
((c))
Colour
((d))
Pen

Show Answer

Answer: ((c))

Colour

Pen is used for writing.

But,

Pen is called colour.

Hence, “colour” is the correct answer.

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

428 : 717 :: 236 : ?

((a))
339
((b))
349
((c))
249
((d))
713

Show Answer

Answer: ((a))

339

The pattern followed is,

4 × 2 = 8

7 × 1 = 7

So,

428 : 717

Similarly,

2 × 3 = 6

And,

3 × 3 = 9

So,

236 : 339

Hence, “339” is the correct answer.

Four groups of numbers have been given, out of which three are alike in some manner and one is different. Select the group that is different.

((a))
12 : 72 : 144
((b))
14 : 90 : 180
((c))
17 : 102 : 204
((d))
26 : 156 : 312

Show Answer

Answer: ((b))

14 : 90 : 180

The pattern followed is,

Option 1 → 12 × 6 = 72, 12 × 12 = 144

Option 2 → 14 × 6.42 = 90, 14 × 12.85 = 180

Option 3 → 17 × 6 = 102, 17 × 12 = 204

Option 4 → 26 × 6 = 156, 26 × 12 = 312

All follow the same pattern, except ’14 : 90 : 180’.

Hence, “14 : 90 : 180” is the odd group.

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

56 - 63

((a))
104 - 117
((b))
154 - 171
((c))
134 - 153
((d))
28 - 39

Show Answer

Answer: ((a))

104 - 117

The pattern followed is,

56 - 63 → 7 × 8 - 7 × 9

Similarly,

104 - 117 → 13 × 8 - 13 × 9

‘104 - 117’ shares the same relationship as it is shared by the given pair of numbers.

Hence, “104 - 117” is the correct answer.

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.

19 : 23 :: 11 : 13 :: 7 : ?

((a))
11
((b))
5
((c))
3
((d))
9

Show Answer

Answer: ((a))

The pattern followed is,

For,

19 : 23

19 is a prime number, the next prime number after 19 is 23.

So,

19 : 23

And,

For,

11 : 13

11 is a prime number, the next prime number after 11 is 13.

So,

11 : 13

Similarly,

7 is a prime number, the next prime number after is 11.

So,

7 : 11

Hence, “11” is the correct answer.

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

32 - 8 ÷ 4 + 5 × 6 = 30

((a))
× and +
((b))
÷ and +
((c))
× and ÷
((d))
÷ and -

Show Answer

Answer: ((d))

÷ and -

Interchanging the signs and using BODMAS rule,

Option 1 → × and +

32 - 8 ÷ 4 × 5 + 6 = 30

32 - 2 × 5 + 6 = 30

32 - 10 + 6 = 30

38 - 10 is not equal to 30

Option 2 → ÷ and +

32 - 8 + 4 ÷ 5 × 6 = 30

32 - 8 + 0.8 × 6 = 30

32 - 8 + 4.8 = 30

36.8 - 8 is not equal to 30

Option 3 → × and ÷

32 - 8 × 4 + 5 ÷ 6 = 30

32 - 8 × 4 + 0.83 = 30

32 - 32 + 0.83 is not equal to 30

Option 4 → ÷ and -

32 ÷ 8 - 4 + 5 × 6 = 30

4 - 4 + 30 = 30

30 = 30

Hence, option 4 is the correct answer.

Four number - pairs have been given, out of which three are alike in some manner and one is different. Select the one that is different.

((a))
64 - 100
((b))
25 - 36
((c))
16 - 49
((d))
48 - 81

Show Answer

Answer: ((d))

48 - 81

The pattern followed is,

Option 1 → 64 - 100 → 8² - 10²

Option 2 → 25 - 36 → 5² - 6²

Option 3 → 16 - 49 → 4² - 7²

Option 4 → 48 - 81 → 48 is not a square of any number and 81 is 9².

All follow the same pattern, except ’48 - 81’.

Hence, “48 - 81” is the odd pair.

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

ULJ : POO :: ? : KRT

((a))
FIY
((b))
PIY
((c))
PIO
((d))
FMO

Show Answer

Answer: ((c))

PIO

The pattern followed is,

Similarly,

Hence, “PIO” is the correct answer.

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

NEEDLE : MFDEKF :: BUCKET : ?

((a))
CVDLFS
((b))
AVBLDU
((c))
AVBLDS
((d))
CVBLDU

Show Answer

Answer: ((b))

AVBLDU

The pattern followed is,

Similarly,

Hence, “AVBLDU” is the correct answer.

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.

((a))
DFL - USM
((b))
GJB - ROW
((c))
EFR - VUI
((d))
IKN - PNK

Show Answer

Answer: ((c))

EFR - VUI

The pattern followed is,

Option 1 → DFL - USM

Option 2 → GJB - ROW

Option 3 → EFR - VUI

So,

EFR - VUI has not followed the rule.

Option 4 → IKN - PNK

All follow the same pattern, except ‘EFR - VUI’.

Hence, “EFR - VUI” is the odd one.

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

TXB, QWE, NVH, KUK,___?

((a))
HSN
((b))
JTM
((c))
HTN
((d))
ITM

Show Answer

Answer: ((c))

HTN

The pattern followed is,

Hence, “HTN” is the correct answer.

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

((a))
NOQST
((b))
EGIKM
((c))
BDFHJ
((d))
QSUWY

Show Answer

Answer: ((a))

NOQST

The pattern followed is,

All follow the same pattern, except ‘NOQST’.

Hence, “NOQST” is the odd letter pair.

General Knowledge and General Awareness (50 questions)

The part of the eye which is responsible for the conversion of image of an object into neural signals is:

((a))
retina
((b))
optic nerve
((c))
vitreous humour
((d))
iris

Show Answer

Answer: ((a))

retina

Retina is responsible for the conversion of the image of an object into neural signals.
It has a thin layer of tissue that lines the back of the eye on the inside and it is located near the optic nerve.
The Function of the retina is to receive light that the lens has focused, convert the light into neural signals and further send these signals on to the brain for visual recognition.

PART OF HUMAN EYE	DESCRIPTION	FUNCTION
Retina	Light-sensitive tissue located at the back of the eyeball.	Receives the light and converts it into electrical signals which are then sent to the brain.
Cornea	The transparent outer layer is located at the front of the eye.	- Covers and protects the eye from dirt and germs. - Refracts and bends the light entering the eye.
Optic Nerve	Formed by the retina, the optic nerves connect the eye and the brain.	Carries the electrical signals from the retina to the brain.
Pupil	Opening of the iris.	Controls the amount of light entering the eye by dilating and constricting.

Which Indian was awarded the Chiratae Ventures’ Patrick J. McGovern Lifetime Achievement Award 2019?

((a))
Ratan Tata
((b))
Shiv Nadar
((c))
Uday Kotak
((d))
Narayan Murthy

Show Answer

Answer: ((a))

Ratan Tata

Ratan Tata was awarded the Chiratae Ventures’ Patrick J. McGovern Lifetime Achievement Award 2019.
The award instituted by then IDG Ventures as a tribute to the legacy of Patrick Joseph McGovern Jr.
Previous Awardees were :
John Chambers, former executive chairman and CEO of Cisco Systems
Ashok Soota, Executive Chairman and co-founder of Happiest Minds Technologies
Kris Gopalakrishna, co-founder of Infosys
Saurabh Srivastava, co-founder of IAN
Bruno Raschle, founder, MD and non-executive vice chairman of Schroder Adveq.

In which year was the World Trade Organization established?

((a))
1942
((b))
1952
((c))
1995
((d))
1947

Show Answer

Answer: ((c))

1995

World Trade Organization established in the year 1995.
It is an intergovernmental organization that deals with the regulation of international trade between nations.
Currently, 164 countries are members of this organization.
The current Director-General of WTO is Roberto Azevedo and Headquartered in Geneva, Switzerland.

WTO (World Trade Organisation)	1995	Geneva
World Bank	1944	Washington D.C
UNDP(United National Development Programme)	1965	New York
IMF(International Monetary Fund)	1945	Washington D.C

Who is the first woman to have been awarded the Yudh Seva Medal?

((a))
Minty Agarwal
((b))
Shaliza Dhami
((c))
Aparna Kumar
((d))
Bhawana Kanth

Show Answer

Answer: ((a))

Minty Agarwal

Minty Agarwal became the first woman awardee of Yudh Seva Medal in the year 2019.
She is the Squadron Leader in Indian Air Force.
The medal is awarded for distinguished service during wartime.

Peacetime Gallantry Award	Ashok Chakra Award
Kirti Chakra
Shaurya Chakra
Wartime gallantry awards	Param Vir Chakra
Maha Vir Chakra
Vir Chakra
Wartime Distinguished Service	Sarvottam Yudh Seva Medal
Uttam Yudh Seva Medal
Yudh Seva Medal

Under which Article of the Constitution of India can the President promulgate an ordinance?

((a))
Article 101
((b))
Article 123
((c))
Article 168
((d))
Article 75

Show Answer

Answer: ((b))

Article 123

The correct answer is Article 123.

Key Points

Under Article 123 of the Constitution of India can the President promulgate an ordinance.
The Constitution empowers the President to promulgate Ordinances to amend certain laws when either of the two Houses of Parliament is not in session under Article 123.
The maximum duration of an ordinance is 6 months and 6 weeks.
An ordinance will expire after 6 weeks once both houses of the Parliament are in session.
The Governor can also issue ordinances under Article 213.

Additional Information

Article	Description
Article 101	Vacation of seats in Parliament
Article 168	Constitution of the legislature in States
Article 75	Provisions for Ministers

In which year was the battle of Buxar fought?

((a))
1757
((b))
1765
((c))
1764
((d))
1758

Show Answer

Answer: ((c))

1764

Name of the battle	Year	Significance
Battle of Plassey	1757	British defeated Siraj-Ud-Duala with the help of Mir Zafar.
Battle of Wandiwash	1760	- British decisively defeated the French in India. - It was a seven years war (1756 - 1763) between them.
Battle of Buxar	1764	British East India Company, led by Hector Munro defeated the combined forces of Mir Qasim, Shuja-Ud-Duala and Shah Alam II.

Which of the following films is set in the backdrop of the India-China War of 1962?

((a))
Hazaaron Khwaishein Aisi
((b))
Roja
((c))
Aakrosh
((d))
Haqeeqat

Show Answer

Answer: ((d))

Haqeeqat

Haqeeqat film is set in the backdrop of the India-China War of 1962.
It was directed by Chetan Anand in the year 1964.
The film won the National Film Award for Second Best Feature Film in 1965.
It was screened on August 12, 2016, at the Independence Day Film Festival.

Which among the following has its latitude within one degree of that New Delhi?

((a))
Amarnath Cave
((b))
Mount Everest
((c))
City of Islamabad
((d))
City of Dhaka

Show Answer

Answer: ((b))

Mount Everest

Mount Everest has its latitude within one degree of that New Delhi.
The latitude of New Delhi is 28.6139° N, 77.2090° E whereas latitude of Mount Everest is 27.9881° N, 86.9250° E.
The location's distance north or south of the equator is called latitude.
The location's distance east or west from an imaginary line(Prime Meridian) is called longitude.

Hirakud dam is built across the river ________.

((a))
Krishna
((b))
Betwa
((c))
Mahanadi
((d))
Godavari

Show Answer

Answer: ((c))

Mahanadi

Name of the Dam	River	State
Srisailam Dam	Krishna River	Andhra Pradesh
Rajghat Dam	Betwa River	Uttar Pradesh and Madhya Pradesh Border
Hirakud Dam	Mahanadi River	Odisha
Gangapur Dam, Jayakwadi Dam	Godavari River	Maharashtra

During the freedom struggle, who was the only President of the Indian National Congress who resigned from the presidency even after being elected?

((a))
JB Kripalini
((b))
Nellie Sengupta
((c))
Subhash Chandra Bose
((d))
Jawaharlal Nehru

Show Answer

Answer: ((c))

Subhash Chandra Bose

The correct answer is Subhash Chandra Bose.

Subhas Chandra Bose was elected as the President of the Indian National Congress (INC) in 1939 against Dr. Pattabhi Sitaramayya.
Later on, Bose had resigned from the presidency after disagreements with Gandhi and the Congress High Command.
Rajendra Prasad was appointed as the President of INC, After the resignation of Subhash Chandra Bose.
In the year 1938 under President Subhas Chandra Bose in the Haripura session, the Indian National Congress set up a National planning committee under the leadership of Nehru.

Session	President	Importance
Tripuri (1939)	Subhas Chandra Bose	Bose resigned and started the Forward Bloc party.
Fazipur (1937)	Nehru	First Village session of INC.
Karachi (1931)	Vallabhbhai Patel	Resolution on fundamental rights and national Economic Progress, approval of Gandhi-Irwin pact.

In February 2019, India signed a letter of intent with ______ to fight marine pollution.

((a))
Cambodia
((b))
Denmark
((c))
Norway
((d))
Bhutan

Show Answer

Answer: ((c))

Norway

India signed a letter of intent with Norway to fight marine pollution in Feb'19.
It was an initiative between The Ministry of Environment, Forests and Climate Change and the Norwegian Ministry of Foreign Affairs.
This Mou was signed to develop clean and healthy oceans, sustainable use of ocean resources and growth in the blue economy.
Nils RagnarKamsvag is the Norway Ambassador to India.

Where was the venue of US Open Tennis Championship before it shifted to the Flushing Meadows?

((a))
Lexington
((b))
Woodmond Hills
((c))
Plaza District
((d))
Forest Hills

Show Answer

Answer: ((d))

Forest Hills

Till 1968, tournaments were hosted at the West Side Tennis Club in Forest Hills, Queens, New York.
Later on, the tournament moved to Flushing Meadows in the year 1978.
The first tournament was held in August 1881 at the Newport Casino in Newport, Rhode Island.

Which among the following regarding GST is correct?

((a))
Centre holds 100 per cent stake in GST network
((b))
GST network was formed under Companies Act
((c))
GST council is a statutory body
((d))
The 100^th Amendment introduced GST in the country

Show Answer

Answer: ((b))

GST network was formed under Companies Act

The concept of Goods and Services Tax (GST) is originated in Canada
GST will abolish all the Indirect Tax levied in India.
GST network was formed under the Companies Act.
GST bill was introduced in the 101^stConstitutional Amendment.
The GST council is headed by the union finance minister Nirmala Sitharaman.

Direct tax	When a person bears the burden as well as makes payment to the government
Example of Direct Tax	1.Corporation tax 2. Income tax 3. Interest tax 4. Expenditure tax 5. Wealth tax
Indirect Tax	When a seller collects the tax from the buyer first and then pays the same to the government.
Example of Indirect Tax	1. Customs duties 2. Service tax 3. Sales tax 4. State excise duty 5. Stamp & Registration fees 6.Entertainment tax

Which among the following political parties was a part of NDA during the 2019 general elections?

((a))
RJD
((b))
LJP
((c))
AITC
((d))
DMK

Show Answer

Answer: ((b))

LJP

Lok Janshakti Party (LJP) was a part of NDA during the 2019 general elections.
It is a state political party in Bihar.
It was formed by Ram Vilas Paswan. He is the Minister of Consumer Affairs, Food and Public Distribution.
Note: Shiv Sena is no more part of National Democratic Alliance (NDA)
The National Democratic Alliance (NDA) is a center-right political alliance led by the Bharatiya Janata Party (BJP).
It is the ruling coalition in the Parliament of India under the leadership of Prime Minister Narendra Modi, from 2014 to 2019 and now from 2019 to 2024.
The NDA was formed by the BJP in the 1998 general elections; it consisted of its allies like the
Samata Party
The Shiromani Akali Dal
All India Anna Dravida Munnetra Kazhagam
The Biju Janata Dal
National Democratic Progressive Party (NDPP)
Rashtriya Loktantrik Party (RLP)
Pattali Makkal Katchi (PMK), Kerala Congress (M),
Asom Gana Parishad (AGP)
Bodoland People's Front(BOPF/BPF)
Desiya Murpokku Dravida Kazhagam (DMDK),(YSR),
Tamil Maanila Congress (M),
Bharat Dharma Jana Sena (BDJS)
All India N.R. Congress(AINRC)
All Jharkhand Students Union

How many times has India won the ICC U-19 World Cup?

((a))
One
((b))
Three
((c))
Five
((d))
Two

Show Answer

Answer: ((c))

Five

India won the ICC U-19 World Cup Five times (Till 2020).
India won the most successful titles in ICC U-19 World Cup.

Year	Defeated Team
2000	Sri Lanka
2008	South Africa
2012	Australia
2018	Australia
2022	England

Additional Information

The 2022 U19 World Cup was won by India and was hosted by West Indies and Bangladesh.
So now the no. of ICC U-19 World Cup title won by India is 5.

Who is the author of 'Swami Vivekananda in the West: New Discoveries'?

((a))
Romain Rolland
((b))
Sister Nivedita
((c))
Marie Louise Burke
((d))
Swami Ranganathananda

Show Answer

Answer: ((c))

Marie Louise Burke

Swami Vivekananda in the West: New Discoveries written by Marie Louise Burke.
She is popularly known as Sister Gargi.
It is a series of biographical books on Swami Vivekananda and it consists of six volumes in the series.
The series was first published in two volumes in the year 1957 and In 1983-87 these series were republished into six volumes.

The famous mathematician Srinivasa Ramanujan was born in:

((a))
Kumbakonam
((b))
Erode
((c))
Madras (now Chennai)
((d))
Namakkal

Show Answer

Answer: ((b))

Erode

The famous Indian mathematician Srinivasa Ramanujan was born in Erode (Dec22, 1887) and died in Kumbakonam(26 April 1920).
Srinivasa Ramanujan's birthday (22 Dec) is celebrated as the National Mathematics Day and State IT Day in Tamil Nadu state.
Former PM Manmohan Singh declared the 2012 year as National Mathematics Year.
He was the first Indian to be elected a Fellow of Trinity College, Cambridge University.
He made significant contributions to mathematical analysis, number theory, infinite series, and continued fractions.

As per the India State of Forest Report 2017, which of the following states has the maximum percentage of forest cover in relation to its area

((a))
Maharashtra
((b))
Assam
((c))
Odisha
((d))
Mizoram

Show Answer

Answer: ((d))

Mizoram

The state of Mizoram has 90.38% of its geographical area covered in forests
On the other hand, Madhya Pradesh has the highest forest cover in terms of the raw area which is 77,522 square kilometers.

State	Area of forest cover (sq km)	Percentage
Madhya Pradesh	77,522	30
Odisha	52,472	31.41
Maharashtra	50,862	20.13

The temple at Lepakshi famous for its hanging pillars and constructed in Vijayanagara style is also called _______ temple.

((a))
Mahalakshmi
((b))
Veerabhadra
((c))
Mahakaal
((d))
Murugan

Show Answer

Answer: ((b))

Veerabhadra

The Veerabhadra temple is in Lepakshi, which is located in the Anantapur district of Andhra Pradesh.
The temple was built in the 16^thcentury by Virupanna Nayaka and Viranna.
According to the Skanda Purana, the Veerabhadra temple is one of the divyakshetras, an important pilgrimage site of Lord Shiva.

Which of the following is NOT an official language of the United Nations?

((a))
Arabic
((b))
English
((c))
Japanese
((d))
Chinese

Show Answer

Answer: ((c))

Japanese

There are six official languages of the UN. These are
Russian
Arabic
Chinese
English
Spanish
French
Trick to remember Super Fast RACE

Which of the following activities is also referred to as 'Gold Collar' profession?

((a))
Primary
((b))
Secondary
((c))
Quinary
((d))
Quaternary

Show Answer

Answer: ((c))

Quinary

Name of the sector	Description	Activity referred to
Primary	Fishing, forestry, agriculture, mining, and quarrying.	Red-collar workers
Secondary	Manufacturing, processing, and construction(infrastructure) industries.	Blue-collar workers
Tertiary	Trading, transport and communication facilities.	White-collar jobs
Quaternary	Mutual fund managers, tax consultants, software developers, statisticians and personnel working in office buildings, schools, universities, hospitals, theatres, accounting and brokerage firms.	Pink-collar jobs
Quinary	Senior business executives, government officials, research scientists, financial and legal consultants	Gold collar professions.

Under which Five Year Plan, the steel plants of Rourkela, Bhilai and Durgapur were established?

((a))
Second
((b))
Fourth
((c))
Seventh
((d))
Third

Show Answer

Answer: ((a))

Second

The ***second five-year plan(1956–1961)***focused on the development of the public sector and Industrialisation.
In the Second Five Year Plan, Steel mills at Bhilai, Durgapur, and Rourkela were established.
Coal production has been Intensified and more railway lines were introduced in this plan.
In the Year 1957, Atomic Energy Commission was formed with Homi J. Bhabha as the first chairman.

Five Year Plans	Period	Details
First Five Year Plan (Target Growth : 2.1 % Actual Growth 3.6 %)	1951-56	- It achieved the targeted growth rate of 3.6% and the main focus was on agriculture. - It was based on the Harrod-Domar model. - The Plan Focused on agriculture, price stability, power and transport.
Second Five Year Plan (Target Growth: 4.5% Actual Growth: 4.3%)	1956-61	- The Plan Focused on rapid industrialization- heavy & basic industries . Advocated huge imports through foreign loans. - It was based on the P.C. Mahalanobis Model.
Third Five Year Plan (Target Growth: 5.6% Actual Growth: 2.8% )	1961-66	- It was not successful and could not achieve the desired growth rate of 5.6%. - This plan is also called ‘Gadgil Yojna’.
Fifth Five Year Plan (Target Growth: 4.4% Actual Growth: 4.8%)	1974-79	- The final Draft of fifth plan was prepared and launched by D.P. Dhar - The main objectives were poverty elimination and attainment of self-reliance.

Who, before going to the gallows, had expressed his desire for keeping his ashes intact till India is reunited and throwing them into the Indus after the reunification has been achieved?

((a))
Nathuram Godse
((b))
Uddham Singh
((c))
Bhagat Singh
((d))
Surya Sen

Show Answer

Answer: ((a))

Nathuram Godse

Nathuram Godse before going to the gallows had expressed his desire for keeping his ashes intact till India is reunited and throwing them into the Indus after the reunification has been achieved.
He assassinated Mahatma Gandhi on 30^th Jan 1948.
He was executed in the Ambala Central Jail on 15 November 1949.

Twin paradox is associated with:

((a))
hydrodynamics
((b))
the theory of relativity
((c))
particle physics
((d))
quantum mechanics

Show Answer

Answer: ((b))

the theory of relativity

Twin paradox is associated with the theory of relativity.
The twin paradox is a thought experiment in which, if one of a pair of twins makes a long journey at nearly the speed of light and then returns, he/she will be aged less than the twin who remains behind.
He was a German physicist who developed the general theories of relativity and won the Nobel Prize for Physics in 1921 for his explanation of the photoelectric effect.
Albert Einstien gave the Theory of Relativity, Photon, Photoelectric Effect.
Nobel Prize:
The Swedish chemist, engineer and industrialist Alfred Nobel, through his will, established the five Nobel prizes in 1895.
It is awarded for outstanding contribution in the Six fields - chemistry, literature, peace, physics, economics and physiology or medicine.
The first Nobel Prizes were awarded in the year 1901.

Issac Newton	Laws of motion
CV Raman	Raman Effect
Johannes Kepler	Laws of Planetary motion

Who holds the record of scoring the fastest goal (in the eleventh second) in a FIFA World Cup match?

((a))
Cristiano Ronaldo
((b))
Hakan Sukur
((c))
Kylian Mbappe
((d))
Pele

Show Answer

Answer: ((b))

Hakan Sukur

Hakan Sukur, a Turkish player holds the record of scoring the fastest goal in a FIFA World Cup match.
He Scored the goal in 11 seconds against the Korea Republic at Daegu, Korea on 29 June 2002.
He was popularly known as "Bull of the Bosphorus"

Additional Information about FIFA:

FIFA Full form	Fédération Internationale de Football Association
Total Members	211 member associations
Secretary-General	Fatma Samba Diouf Samoura
President	Gianni Infantino
Headquarters	Zürich, Switzerland

Which one of the following states is the largest producer of pulses in India?

((a))
Bihar
((b))
Madhya Pradesh
((c))
Uttarakhand
((d))
Haryana

Show Answer

Answer: ((b))

Madhya Pradesh

The correct answer is Madhya Pradesh.

Madhya Pradesh is India's largest pulse producing state, which accounts for 23% of total pulse production in the country. Madhya Pradesh is followed by Uttar Pradesh (18%), Maharashtra (14%), Rajasthan (11%) and Andhra Pradesh (9%).

Additional Information

India is the largest producer, importer, and consumer of pulses in the world accounting for nearly 25% global production, 15% of International trade and 27% of world consumption.
Various types of pulses imported are Tur Whole (Pigeon Peas), Black Matpe (Urad), Green Moong, Chick Peas and Yellow Peas.
India is the largest producer of Jute.
India is the second-largest producer of Sugar.
Gujarat is the largest producer of salt in the country.

Gnana Saraswati temple of southern India is located at:

((a))
Puducherry
((b))
Basar
((c))
Tirunelveli
((d))
Thrissur

Show Answer

Answer: ((b))

Basar

Gnana Saraswati temple of southern India is located on the banks of Godavari River at Basar, Telangana.
Bijialudu, a Karnataka king constructed the temple at Basara.
Gnana Saraswati Temple is one of the two famous Saraswati temples in India, the other is being located in Jammu & Kashmir.
A children learning ceremony called "Akshara abhyasam is commonly done in this Temple.

What was the party affiliation of EMS Namboodiripad?

((a))
CPI
((b))
Kerala Congress
((c))
CPI(M)
((d))
SUCI

Show Answer

Answer: ((c))

CPI(M)

Elamkulam Manakkal Sankaran Namboodiripad was Member of Communist Party of India (Marxist).
EMS Namboodiripad was an Indian communist politician and theorist.
He served as the first Chief Minister of Kerala state in the Year 1957-59 and 1967-69.
The party emerged from a split from the Communist Party of India in 1964. The CPI(M) was formed at the Seventh Congress of the Communist Party of India held in Calcutta from 31 October to 7 November 1964.
The Communist Party of India (Marxist) has the hammer, sickle, and star as their symbol. While the Communist Party of India has ears of Corn and Sickle as their symbol.

Which among the following is the confluence of Alaknanda and Mandakini?

((a))
Rudraprayag
((b))
Devprayag
((c))
Nandprayag
((d))
Vishnuprayag

Show Answer

Answer: ((a))

Rudraprayag

Rudraprayag is the confluence of Alaknanda and Mandakini.
It is located in the state of Uttarakhand.
Lord Shiva temple is situated at the confluence, on the right-hand side of the temple Mandakini river flows while on the left side Alaknanda river.
The Confluence Point of the river Alaknanda and the river Mandakini in Rudraprayag.
Rudraprayag is one of the Panch Prayags.
Rudraprayag is a part of Uttrakhand's state.

| S.NO | Name of the Prayag | Rivers | | --- | --- | --- | | 1 | Vishnu Prayag | Alaknanda and Dhauli Ganga | | 2 | Nand Prayag | Alaknanda and Nandadakini | | 3 | Karna Prayag | Alaknanda and Pindar Ganga | | 4 | Rudra Prayag | Mandakini and Alaknanda | | 5 | Dev Prayag | Bhagirathi and Alaknanda |

What is the full form of NPCI which is an umbrella organisation for all retail payments system in India?

((a))
National Payments Corporation of India
((b))
Non-cash Payments Cooperative Inc.
((c))
Non-cash Payments Corporation of India
((d))
Net Payments Company Inc.

Show Answer

Answer: ((a))

National Payments Corporation of India

NPCI stands for National Payments Corporation of India
It is an umbrella organization for operating retail payments and settlement systems in India.
NPCI is an initiative of the Reserve Bank of India (RBI) and the Indian Banks’ Association (IBA).
The main aim of NPCI is creating a robust Payment & Settlement Infrastructure in India.

Sapphire and ruby are varieties of natural:

((a))
aluminium carbonate
((b))
aluminium sulfide
((c))
aluminium oxide
((d))
aluminium hydroxide

Show Answer

Answer: ((c))

aluminium oxide

Sapphire and ruby are varieties of Aluminium oxide(Al₂O₃).
They present in a Corundum(crystalline form).
The hardness of Sapphire and Ruby is 9 on the Mohs scale, which makes it the third hardest mineral after diamond(10) and moissanite(9.5).
Mohs scale: A scale used to measure the relative hardness of a mineral by its resistance to scratching.

The birth place of Subhash Chandra Bose is:

((a))
Hazaribagh
((b))
Cuttack
((c))
Patna
((d))
Kolkata

Show Answer

Answer: ((b))

Cuttack

Subhash Chandra Bose was born on 23 Jan 1897 at Cuttack (Odisha).
His popular national slogans were Tum Mujhe Khoon do, Main the Azadi doonga and Jai Hind.
He was pivotal in the establishment of Indian National Army.

Jagannath Mishra was the three-time Chief Minister of the state of ______ .

((a))
Haryana
((b))
Uttar Pradesh
((c))
Bihar
((d))
Odisha

Show Answer

Answer: ((c))

Bihar

Jagannath Mishra was the three-time Chief Minister of the state of Bihar.
He served as CM of Bihar in the year 1975,1980 and 1989.
During his second term as Chief Minister of Bihar, he made Urdu as the second official language of the State.
He also served as Railway Minister of India between 1973 and 1975 when Indira Gandhi was the PM.

In the context of NITI Aayog, what does 'T' stand for in NITI?

((a))
Transforming
((b))
Travelling
((c))
Training
((d))
Transferring

Show Answer

Answer: ((a))

Transforming

The correct answer is Option 1 i.e. Transforming.

NITI Aayog stands for National Institution for Transforming India
It was formed on the 1^st of Jan 2015.
NITI Aayog is considered as the premier policy ‘Think Tank’ of the Government of India and the main function of NITI Aayog is to provide both directional and policy inputs.
It replaced the erstwhile Planning Commission in 2015. The Five-year plans however continue.
PM Narendra Modi is Chairman and Parameswaran Iyer is CEO for NITI Aayog.

Which among the following combination is present in higher amount in hard water?

((a))
Calcium and sodium
((b))
Sodium and manganese
((c))
Calcium and magnesium
((d))
Sodium and magnesium

Show Answer

Answer: ((c))

Calcium and magnesium

Water which contains a high concentration of Calcium(Ca₂+) and Magnesium(Mg₂+) ions is defined as Hard water.
Water which contains a less concentration of Calcium(Ca2+) and Magnesium(Mg2+) ions is defined as Soft water.
The hardness of water can be removed by the following methods:
Ion-exchange resin method
Lime softening
Chelating agents
Washing Soda Method
Reverse osmosis.
Permanent hardness is caused by dissolved calcium sulfate. Unlike temporary hardness, it is not removed by boiling the water.
Calcium sulfate is an inorganic compound with the formula CaSO4. It is an odorless, white powder or colorless, crystalline solid.

The name of which disease among the following means 'evil influence of the stars'?

((a))
Typhoid
((b))
Influenza
((c))
Plague
((d))
Cholera

Show Answer

Answer: ((b))

Influenza

Influenza disease name means 'evil influence of the stars'
It is an infectious disease caused by an influenza virus.
Disease caused by Protozoa - Diarrhoea, Malaria, and Kala-ajar (Trick: DMK Party)
Disease caused by Bacteria - Tuberculosis, Cholera, Plague, Pneumonia, and Typhoid (Trick: BTC PPT)
Disease caused by Virus - Polio, AIDS, Influenza, Dengue, Chickenpox, Smallpox, Rabies, Measles and Jaundice (Trick: V PAID for MJ CSR)

Which among the following is a copper mineral?

((a))
hematite
((b))
azurite
((c))
halite
((d))
bauxite

Show Answer

Answer: ((b))

azurite

Some of the important copper minerals are:

Name	Formula
Azurite	Cu3(CO₃)2(OH)₂
Malachite	Cu₂CO₃(OH)₂
Cuprite	Cu2O
Chrysocolla	CuO.SiO2.2H2O
Chalcocite	Cu2S
Covellite	CuS
Bornite	Cu5FeS4
Chalcopyrite	CuFeS2

What is the maximum amount of loan permissible under Pradhan Mantri MUDRA Yojana?

((a))
₹3 lakhs
((b))
₹10 lakhs
((c))
₹12 lakhs
((d))
₹5 lakhs

Show Answer

Answer: ((b))

₹10 lakhs

₹10 lakhs is the maximum amount of loan permissible under Pradhan Mantri MUDRA Yojana.
MUDRA Yojana is the government policy to help small business owners and help them meet capital expenses as well as operating costs.
There are three schemes in MUDRA.

Name of the Scheme	Maximum loan Limit
Shishu	the scheme offers loans up to Rs.50,000
Kishor	the scheme offers loans more than Rs.50,000 and less than Rs.5 lakh
Tarun	the scheme offers loans more than Rs.5 lakh and below Rs.10 lakh

Who used the pseudonym 'Bhanusingha'?

((a))
Sunil Gangopadhya
((b))
Michael Madhusudan Dutt
((c))
Bankim Chandra Chattopadhya
((d))
Rabindranath Tagore

Show Answer

Answer: ((d))

Rabindranath Tagore

Rabindranath Tagore's pseudonym is Bhanusingha.
He was a famous polymath, poet, musician, and artist.
He became the First Indian origin to be awarded the Noble Prize for Literature in 1913.
His compositions were used by two nations as their national anthem.
India- Jana Gana Mana
Bangladesh- ***Amar Shonar Bangla.*

The famous physician Jeevaka was appointed by the court of:

((a))
Bimbisara
((b))
Krishnadeva Raya
((c))
Ashoka
((d))
Samudragupta

Show Answer

Answer: ((a))

Bimbisara

The correct answer is option 2) i.e. Bimbisara.

Jeevaka was appointed by Indian King Bimbisara.
He was also a personal physician to Buddha.
He lived in Rajagrha(present-day Rajgir) in the 5th BC.

Key Points

Name of the Ruler	Dynasty	Important details
Bimbisara(544 - 492 BC )	Haryanka	1. He was the founder of this dynasty. 2. Also known as the Shrenika. 3. He was contemporary of Lord Buddha. 4. He had three wives; - Kosaladevi, daughter of the king of Koshala and sister of Prasenjit. - Chellana, daughter of Lichahavi ruler Chetaka and Mother of Ajatashatru. - Khema, daughter of Madra of Panjab. 5.When the ruler of Avanti, Pradyota suffered from Jaundice he sent royal physician Jivaka.
Ajatashatru (492 - 460 BC )	Haryanka	1. Killed his father and seized the throne. 2. He was also known as Kunika and Ashokachanda. 3. He defeated his maternal uncle Prasanjit and married to his daughter Vajira. 4. The famous weapons Mahasilakantaka and Rathamusala belonged to him. 5. He arranged the first Buddhist council at Rajgriha after the death of Buddha.
Udayin(460 - 444 BC)	Haryanka	1. He was the son of Ajatashatru. 2. He made Pataliputra the capital of Magadha and also built a fort at the confluence of Ganges and son at Patna.
Kalashoka(394 - 366 BC)	Sishunaga	1. Kalashoka was also known as the Kakavarna. 2. The second Buddist council was held at Vaishali during his reign.

Who among the following received the Sahitya Akademi Award in 1968?

((a))
Kaifi Azmi
((b))
Harivansh Rai Bachchan
((c))
Amrita Pritam
((d))
Buddhadeb Basu

Show Answer

Answer: ((b))

Harivansh Rai Bachchan

Harivansh Rai Bachchan won the Sahitya Akademi Award in the year 1968.
He was a famous Indian poet of the Nayi Kavita literary movement.
In the year 1976, he received Padma Bhushan for his contribution to Hindi literature.
He was the father of Amitabh Bachchan.

Which one of the following diseases is caused mainly by the deficiency of Vitamin C?

((a))
Kwashiorkor
((b))
Scurvy
((c))
Goitre
((d))
Rickets

Show Answer

Answer: ((b))

Scurvy

The correct answer is option 2, i.e. Scurvy.

Vitamin(Chemical name)**	Deficiency	Sources
Vitamin A (Retinol)	Night blindness and Colour blindness	Milk, Egg, Cheese, Green vegetable, Cod liver oil, and Carrot.
Vitamin B₁(Thymine)	Beriberi	Groundnut, Rapeseed, Dried Chilli, Pulses, Liver, Egg and Vegetables.
Vitamin B₂(Riboflavin)	Ariboflavinosis, Cracking of Skin and tongue	Meat, Green vegetables and Milk.
Vitamin B₃(Niacin)	Pellagra, Whitening of hair	Meat, Milk, Nut, Tomato and Sugarcane.
Vitamin B₅(Pantothenic acid)	Paresthesia	Meat, Ground Potato, Tomato, Nut and Leafy vegetable.
Vitamin B₆(Pyridoxine)	Anaemia	Liver, Meat and Grains.
Vitamin B₇(Biotin)	Paralysis, body pain and hair fall	Meat, Egg, Liver and Milk.
Vitamin B₁₁ (Folic acid)	Anaemia and dysentery	Pulses, Liver and Egg.
Vitamin B₁₂(Cyanocobalamin)	Megaloblastic anaemia	Meat and Milk.
Vitamin C (Ascorbic acid)	Scurvy and Swelling of Gums	Lemon, Orange, Tomato, Sour Substances, Chilly, Sprouted grain
Vitamin D (calciferol)	Rickets & Osteomalacia	Fish liver oil, Milk and Eggs.
Vitamin E (Tocopherols)	Less Fertility	Leafy Vegetables, Milk, Butter, Sprouted wheat and Vegetable oil.
Vitamin K (Phylloquinone)	Non-Clotting of Blood	Tomato, Soybean oil and Green vegetables.

Who holds the record of most 150-plus runs in a test match innings as a captain?

((a))
Wally Hammond
((b))
Don Bradman
((c))
Ricky Ponting
((d))
Virat Kohli

Show Answer

Answer: ((d))

Virat Kohli

Indian Skipper Virat Kohli holds the record of most 150-plus runs in a test match innings as a captain.
He has transcended Australian player Don Bradman as the most 150 plus scores as captain in international cricket.
Kohli had achieved the feat nine times, whereas Don Bradman holds eight times.
Brian Lara, Michael Clarke, Mahela Jayawardene, and Graeme Smith are in the third position by achieving 150 plus scores as captain seven times.

Which among the following is responsible for the rotation of the plane of oscillation of Foucault's pendulum?

((a))
Centripetal force
((b))
Viscous drag of air
((c))
Centrifugal force
((d))
Coriolis force

Show Answer

Answer: ((d))

Coriolis force

Coriolis force is responsible for the rotation of the plane of oscillation of Foucault's pendulum.
Foucault's pendulum is an experiment to demonstrate the Earth's rotation. In the year 1851, it was demonstrated by Jean-Bernard Leon Foucault, a French physicist.
Rotation of the earth around its axis is responsible for Coriolis force.
The Coriolis impact describes the pattern of deflection taken by objects not firmly connected to the ground as they travel long distances around the Earth.
The Coriolis impact is responsible for many massive-scale weather patterns.
The key to the Coriolis effect lies in Earth’s rotation. Earth rotates faster at the Equator than it does on the poles.
Earth is wider on the Equator, so to make a rotation in a 24-hour period.

Where in India is the first indigenously built atomic power plant located?

((a))
Tarapur
((b))
Kalpakkam
((c))
Kota
((d))
Trombay

Show Answer

Answer: ((b))

Kalpakkam

The correct answer is Kalpakkam.

Key Points

India's first fully indigenously constructed nuclear power station is Madras Atomic Power Station (MAPS), which is located in Kalpakkam(Tamil Nadu).

Additional Information

Name of Atomic Station	Location	State
Madras Atomic Power Station	Kalpakkam	Tamil Nadu
Tarapur Atomic Power Station	Tarapur	Maharashtra
Kaiga Nuclear Power Plant	Kaiga	Karnataka
Kakrapar Atomic Power Station	Kakrapar	Gujarat
Rajasthan Atomic Power Station	Rawatbhata	Rajasthan

Rajwada palace (Cultural Heritage Project) is located at:

((a))
Indore
((b))
Mandu
((c))
Ujjain
((d))
Jabalpur

Show Answer

Answer: ((a))

Indore

Rajwada palace (Cultural Heritage Project) is located at Indore.**
The palace was built in the year 1777 by the Holkars of the Maratha Empire.

Name of the Palace	Year	Built by
Jai Vilas Palace(Gwalior)	1872	Maharaja Jayajirao
Jahangir Mahal(Orchha)	17th century	Vir Singh Deo
Lal Bagh Palace(Indore)	1886	Maharaja Shivaji Rao Holkar
Bandhavgarh Fort(Umaria)	10th century	Gond Empire

Baily's beads can be observed during a/an:

((a))
total solar eclipse
((b))
partial solar eclipse
((c))
occultation of Jupiter
((d))
lunar eclipse

Show Answer

Answer: ((a))

total solar eclipse

Baily's beads can be observed during the total solar eclipse.
Baily's beads effect is also known as the Diamond ring effect.
It is the last portion of the sun silhouetted behind the moon. At this period, it creates the image of the ring with a diamond shining and IT is observed just before or after the eclipse.
This phenomenon was observed by Francis Baily in the year 1836.

With reference to the High Courts and their seats, which of the following pairs is correctly matched?

((a))
Odisha - Sambalpur
((b))
Uttarakhand - Nainital
((c))
Gujarat - Gandhinagar
((d))
Madhya Pradesh - Gwalior

Show Answer

Answer: ((b))

Uttarakhand - Nainital

Name of the state High court	Seat
Odisha	Cuttack
Uttarakhand	Nainital
Gujarat	Ahmedabad
Madhya Pradesh	Jabalpur
Tamil Nadu	Chennai
Karnataka	Bengaluru

Article 234	States about the recruitment of persons other than district judges to the judicial service.
Article 239	States about the Administration of union territories.
Article 228	States about the Transfer of certain cases to the high court.
Article 236	States about the Interpretation by a subordinate court.
Article 235	States about the Control over subordinate courts.
Article 233A	States about the Validation of appointment of, and judgments, etc delivered by certain district judges.
Article 233	States about the Appointment of the district judge.
Article 227	States about the Power of superintendence over all courts by the high court.
Article 231	States about the Establishment of a common high court for two or more states.
Article 230	States about the Extension of jurisdiction of the high court to union territories.

'Powa Mecca' in Assam is the tomb of ______.

((a))
Shujauddin Mohammed Shah
((b))
Khwaja Bande Nawaz
((c))
Sheikh Salim Chisti
((d))
Pir Giasuddin Auliya

Show Answer

Answer: ((d))

Pir Giasuddin Auliya

'Powa Mecca' in Assam is the tomb of Pir Giasuddin Auliya.
It was built by Sujauddin Muhammad Shah in the year 1657 AD.
Some of the important tombs in India are:

Name of the tomb	Location
Akbar’s Tomb	Agra
Humayun’s Tomb	Delhi
Bibi Ka Maqbara	Aurangabad
Tomb of Sher Shah Suri	Sasaram

100

At the location of which city in Assam, the river Brahmaputra goes southbound breaking away from its westward course and enters into Bangladesh?

((a))
Dhubri
((b))
Tezpur
((c))
Barpeta
((d))
Bongaigaon

Show Answer

Answer: ((a))

Dhubri

The River Brahmaputra flows westward, till the city of Dhubri in Assam and thereafter turns south division in the Garo hills and flows towards Bangladesh near Golpara.
River Brahmaputra is called Jamuna in Bangladesh and the Yarlung Tsangpo in Tibet.
It originates from the Angsi Glacier(Himalayas) in Tibet and covers the total length of 2,900 km.
The Brahmaputra river has been a constant source of dispute between India and China.
This is because the Chinese government has built several dams and water diversions reducing the flow to India.
The Brahmaputra river also flows to Bangladesh after its run in India.
Additional Information about the Brahmaputra:

Origin	Chemayungdung glacier of the Kailash range near the Mansarovar lake
Left bank tributaries	the Burhi Dihing, Dhansari and Kalang
Right bank tributaries	the Subansiri, Kameng, Manas and Sankosh
Various names	- The Yamuna- Bangladesh - Tsangpo-Tibet - Brahmaputra-India

Quantitative Aptitude (50 questions)

Direction∶ Study the pie chart and answer the question.

Distribution (degree wise) of the number of computers sold by a shopkeeper for five months.

101

The number of months, in which the number of computers sold was above 20% of the total number of computers sold in 5 months, was:

((a))
3
((b))
4
((c))
2
((d))
1

Show Answer

Answer: ((a))

Calculation:

100% represents = 360°

20% will represent = (360/100) × 20 = 72°

January = 85°

March = 99°

May = 77°

There are 3 months January, March and May.

∴ The number of months in which the number of computers sold is above 20% is 3

102

Let x be the least number divisible by 16, 24, 30, 36 and 45, and x is also a perfect square. What is the remainder when x is divided by 123?

((a))
40
((b))
33
((c))
103
((d))
100

Show Answer

Answer: ((b))

LCM of 16, 24, 30, 36, 45

LCM = 2 × 2 × 2 × 2 × 3 × 3 × 5 = 720

As we know, Number is a perfect square, then

LCM = 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5 = 3600

When 3600 is divided by 123, the remainder is 33

So, the remainder is 33

103

When a certain number is divided by 65, the remainder is 56. When the same number is divided by 13, the remainder is x. What is the value of $\sqrt {5x - 2}$ ?

((a))
2√7
((b))
2√2
((c))
3√2
((d))
√13

Show Answer

Answer: ((c))

3√2

Given:

When a certain number is divided by 65, the remainder is 56.

Calculation:

Let find the remainder be x.

When the number is divided by 13

We divide 56 by 13 we get,

x =4

Now,

$\sqrt {5x - 2}$

⇒ $\sqrt {5x - 2}$ = $\sqrt {5\times 4 - 2}$

⇒ $\sqrt {18}$ = 3 $\sqrt {2}$

104

A person sold a chair at a profit of 13%. Had he sold it for Rs. 607.50 more, he would have gained x%. If the cost price of the chair is Rs. 3750, then the value of x is:

((a))
30
((b))
28.4
((c))
29.2
((d))
32

Show Answer

Answer: ((c))

29.2

Given:

A person sold a chair at a profit of 13%.

If he sold it for Rs. 607.50 more, he would have gained x%.

The cost price of the chair is Rs. 3750.

Concept used:

Profit% = (Profit/C.P) × 100

Profit = S.P - C.P

Calculation:

CP of the chair = 3750

Profit percentage if profit is 607.50 = [607.50/3750] × 100 = 16.2%

Value of x = 13% + 16.2% = 29.2%

105

The total number of males and females in a town is 70,000. If the number of males is increased by 6% and that of the females is increased by 4%, then the total numbers of males and females in the town would become 73520. What is the difference between the number of males and females in the town, in the beginning?

((a))
1500
((b))
1400
((c))
1800
((d))
2000

Show Answer

Answer: ((d))

2000

Calculation:

Let the number of males be x.

Numbers of females = (70000 – x)

Total number of males and females in the town increased by = 73520 – 70000 = 3520

According to the question,

x × (6/100) + [(70000 – x) × (4/100)] = 3520

0.06x + 2800 – 0.04x = 3520

0.02x = 3520 – 2800 = 720

x = 720/0.02 = 36000

Number of males = 36000

Number of females = 70000 – 36000 = 34000

Required difference = 36000 – 34000 = 2000

Alternate Method

4% of 70000 = 70000 × (4/100) = 2800

Increased population = 73520 – 70000 = 3520

Let number of males be x.

2% of x = 3520 – 2800 = 720

x × 2/100 = 720

x = 36000

Number of females = 34000

Number of males = 70000 – 36000 = 36000

Required difference = 36000 – 34000 = 2000

Shortcut Trick

We can solve this using allegation method

Increased population = 73520 – 70000 = 3520

6% of 70000 = 70000 × 6/100 = 4200

4% of 70000 = 70000 × 4/100 = 2800

Ratio of males to females = 18 : 17

Difference of males and females = 70000 × (1/35) = 2000

106

The value of $\frac{{\frac{1}{3}; + ;\left[ {4\frac{3}{4}; - ;\left( {3\frac{1}{6}; - ;2\frac{1}{3}} \right)} \right]}}{{\left( {\frac{1}{5};of;\frac{1}{{5;}}; \div ;\frac{1}{5}} \right); \div ;\left( {\frac{1}{5}; \div ;\frac{1}{5}; \times ;\frac{1}{5}} \right)}}$ lies between:

((a))
8.2 and 8.8
((b))
0.4 and 0.9
((c))
4.2 and 4.4
((d))
10.2 and 10.8

Show Answer

Answer: ((c))

4.2 and 4.4

Concept used:

Calculation:

$\frac{{\frac{1}{3}; + ;\left[ {4\frac{3}{4} - \left( {3\frac{1}{6} - 2\frac{1}{3}} \right)} \right]}}{{\left( {\frac{1}{5};of\frac{1}{5} \div \frac{1}{5}} \right) \div \left( {\frac{1}{5} \div \frac{1}{5}; \times ;\frac{1}{5}} \right)}}$

$\frac{{\frac{1}{3}; + ;\left[ {\frac{{19}}{4} - \left( {\frac{{19}}{6} - \frac{7}{3}} \right)} \right]}}{{\left( {\frac{1}{{25}} \div \frac{1}{5}} \right) \div \left( {1; \times ;\frac{1}{5}} \right)}}$

$\frac{{\frac{1}{3}; + ;\left[ {\frac{{19}}{4} - \left( {\frac{{19 - 14}}{6}} \right)} \right]}}{{\frac{1}{5} \div \frac{1}{5}}}$

$\frac{1}{3} + \left[ {\frac{{19}}{4} - \frac{5}{6}} \right]$

$\frac{1}{3} + \left[ {\frac{{57 - 10}}{{12}}} \right]$

$\frac{1}{3} + \frac{{47}}{{12}}$

$\frac{{4; + ;47}}{{12}}$

(51/12)

4.25

107

The ratio of the radius of the base and the height of a solid right circular cylinder is 2 : 3. If its volume is 202.125 cm³, then its total surface area is: (Take π = 22/7)

((a))
192.5 cm²
((b))
154 cm²
((c))
168 cm²
((d))
115.5 cm²

Show Answer

Answer: ((a))

192.5 cm²

Given:

Volume = 202.125 cm³

Ratio of radius of the base and height of a cylinder = 2x : 3x

Formula used:

Total surface area of cylinder = 2πr(r + h)

Voulme of cylinder = πr²h

Calculation:

As we know,

Volume of cylinder = πr²h

⇒ πr²h = 202.125

⇒ 22/7 × 2x × 2x 3x = 202.125

⇒ x³ = (202.125 × 7)/(2 × 2 × 3 × 22)

⇒ x = ∛{(0.125 × 49 × 7)/(2 × 2 × 2)}

⇒ x = (0.5 × 7)/2

⇒ x = 1.75

Radius of cylinder = 2 × 1.75 = 3.5

Height of cylinder = 3 × 1.75 = 5.25

⇒ Total surface area of cylinder = 2πr(r + h) = 2 × 22/7 × 3.5 (3.5 + 5.25)

= 2 × (22/7) × 3.5 × 8.75 = 192.5

∴ The correct answer is 192.5 cm².

108

The sides of ΔABC are 10 cm, 10.5 cm and 14.5 cm. What is the radius of its circumcircle?

((a))
7.25 cm
((b))
5.25 cm
((c))
7.5 cm
((d))
5 cm

Show Answer

Answer: ((a))

7.25 cm

As we know,

(14.5)² = (10.5)² + (10)²

210.25 = 110.25 + 100

210.25 = 210.25

Now, we can say triangle is a right angled triangle, then

Circum radius of triangle = Hypotenuse/2 = 14.5/2 = 7.25 cm

radius of circumcircle = abc/4∆ where a,b and c are the respective side of the triangle, ∆ = area of triangle

since given triangle is a right angled triangle

⇒ ∆ = 1/2 × 10 × 10.5 = 52.5 cm²

⇒ radius of circumcircle = (10 × 10.5 × 14.5)/(4 × 52.5)

⇒ radius of circumcircle = 7.25 cm

109

The distance between two places A and B is 14 km. A boat travels from A to B downstream and then returns from B to A upstream and takes a total of 3 hours 44 minutes for the entire journey. If the speed of the current is 2 km/h, then what is the speed of the boat, in km/h, in still water?

((a))
7
((b))
$6\frac{1}{2}$
((c))
$7\frac{1}{2}$
((d))
8

Show Answer

Answer: ((d))

Given:

Distance = 14 km

Time taken in upstream and downstream = 3 h 44 min

Speed of current = 2 km/h

Formula used:

Time = Distance/Speed

Calculation:

Let speed of boat be x km/hr

According to the question

14/(x + 2) + 14/(x – 2) = 3 hr + 44 min

14[(x – 2 + x + 2)/(x2 – 4)] = 3 + 44/60

28x/(x2 – 4) = 3 + (11/15) = 56/15

15x = 2x2 – 8

2x2 – 15x – 8 = 0

2x2 – 16x + x – 8 = 0

2x(x – 8) + 1 (x – 8) = 0

(2x + 1) (x – 8) = 0

Taking

x – 8 = 0

x = 8

∴ The speed of boat is 8 km/hr

Shortcut Trick 14/(x + 2) + 14(x – 2) = 3 km/hr + 44 min

With the help of option

Put x = 8

14/10 + 14/6 = 1 hr + 24 min + 2 hr + 20 min

3 hr + 44 min (satisfied)

110

If √x + 1/√x = 3, x > 0, then x² (x² – 47) = ?

((a))
0
((b))
-2
((c))
-1
((d))
2

Show Answer

Answer: ((c))

-1

Given:

√x + 1/√x = 3

Formula used:

(a + b)² = a² + b² + 2ab

Calculation:

As we know,

⇒ (x + 1/x)² = x² + 1/x² + 2

⇒ (√x + 1/√x)² = x + 1/x + 2

⇒ x + 1/x + 2 = 3² = 9

⇒ x + 1/x = 9 – 2 = 7

⇒ (x + 1/x)² = x²+ 1/x² + 2

⇒ x² + 1/x² + 2 = 7² = 49

⇒ (x⁴ + 1)/x² = 49 – 2 = 47

⇒ x⁴ + 1 = 47x²

⇒ x⁴ – 47x² = – 1

⇒ x²(x² – 47) = – 1

∴ The correct answer is -1.

111

Two circles of radii 5 cm and 3 cm intersect each other at A and B, and the distance between their centers is 6 cm. The length (in cm) of the common chord AB is:

((a))
$\frac{{2\sqrt {14} }}{3}$
((b))
$\frac{{2\sqrt {13} }}{3}$
((c))
$\frac{{4\sqrt {13} }}{3}$
((d))
$\frac{{4\sqrt {14} }}{3}$

Show Answer

Answer: ((d))

$\frac{{4\sqrt {14} }}{3}$

Given, AP = 5 cm, AQ = 3 cm and PQ = 6 cm

Let PM = x,

⇒ MQ = (6 – x)

In ΔAMP

(PA)² = (AM)² + (PM)²

5² = (AM)² + x²

(AM)² = 25 – x² ---(1)

In ΔAQM,

(AQ)² = (AM)² + (6 - x)²

3² = (AM)² + 36 + x² – 12x

(AM)² = 9 – 36 – x² + 12x ---(2)

From equation (1) and equation (2)

25 – x² = 9 – 36 – x² + 12x

12x = 25 + 27

12x = 52

x = 52/12

x = 13/3

From equation (1),

(AM)² = 25 – (13/3)² = 25 – 169/9 = (225 – 169)/9 = 56/9

AM = √56/9 = 2√14/3

As we know,

AB = 2AM = 2 × [2√14/3] = 4 √14/3

112

A trader buys an article at 80% of its marked price and sells it at a 10% discount on its marked price. His percentage profit is:

((a))
$12\frac{1}{2}$
((b))
$10\frac{1}{2}$
((c))
15
((d))
10

Show Answer

Answer: ((a))

$12\frac{1}{2}$

Given:

CP for trader = 80% of MP

Discount = 10% on MP

Formula used:

Profit = [(SP - CP)/CP] × 100

Calculation:

Let MP of the article be Rs 100

CP of the article for trader = 100 × 80/100 = 80

SP of the article = 100 × 90/100 = 90

Required percentage = (90 – 80)/80 × 100 = $12\frac{1}{2}%$

∴ The correct answer is 12.5%.

113

The average weight of the boys in a class is 69.3 kg and that of the girls in the same class is 59.4 kg. If the average weight of all the boys and girls in the class is 63.8 kg, then the percentage of the number of boys in the class is:

((a))
$55\frac{5}{9}$
((b))
$44\frac{4}{9}$
((c))
40
((d))
45

Show Answer

Answer: ((b))

$44\frac{4}{9}$

Given:

Average weight of boys = 69.3 kg

Average weight of girls = 59.4 kg

Average weight of all boys and girls = 63.8 kg

Formula used:

Average = Sum of terms/Total no of terms

Calculation:

Let the no og boys be x.

And no of girls be y.

Sum of weight of all boys = Average of all boys × No of boys in class

∴ Sum of weight of all the boys = 69.3x kg

Likewise,

Sum of weight of all the girls = 59.4y kg

Similarly,

Total weight of class = 63.8(x + y) kg

Since,

Sum of weight of boys + Sum of weight of girls = Total weight of class

⇒ 69.3x + 59.4y = 63.8(x + y)

⇒ 5.5x = 4.4y

⇒ x/y = 4/5

Total no of boys and girls = 9

∴ Percentage of boys in the class = (4/9) × 100 = $44\frac{4}{9}$ %

∴ The correct answer is 44.44%.

Shortcut Trick

Using allegation method

Ratio of number of boys to that of girls = 4.4 : 5.5 = 4 : 5

Percentage of boys in the class = (4/9) × 100 = $44\frac{4}{9}$ %

114

Pipes A and B together can empty a filled tank in $6\frac{2}{3}$ minutes. If A takes 3 minutes more than B to empty the tank, then the time (in minutes) in which A alone would empty one-third part of the tank is:

((a))
6
((b))
4.5
((c))
5
((d))
5.5

Show Answer

Answer: ((c))

Shortcut Trick With the help of option,

Let 1/3 of tank pipe A can empty the tank in = 5 min

Whole tank empty the tank pipe A in = 5 × 3 = 15 min

So, pipe B empty the tank in = 15 – 3 = 12 min

Total work = 60

Pipe A and Pipe B together can empty the full the tank in = 60/(5 + 4) = 60/9 = 20/3 = $6\frac{2}{3}$ min (Satisfied)

This type of question can be solved using this trick if you want quick answer.

Alternate Method Let pipe B alone can empty the full tank in x min.

Pipe A alone can empty the full tank in = (x + 3) min

According to the question,

1/(x + 3) + 1/x = 3/20

(x + x + 3)/(x² + 3x) = 3/20

(2x + 3)20 = 3(x² + 3x)

40x + 60 = 3x² + 9x

3x² – 31x – 60 = 0

3x² – 36x + 5x – 60 = 0

3x (x – 12) + 5 (x – 12) = 0

(x – 12) (3x + 5x) = 0

Taking,

x – 12 = 0

x = 12

Time taking by pipe B empty the full tank in = 12 min

Time taking by pipe A empty the full tank in = 12 + 3 = 15 min

So, pipe A can empty the 1/3 or the tank in = 15 × (1/3) = 5 min

115

The compound interest amounts on a certain sum at a certain rate percentage p.a. for the second year and third year are Rs. 3,300 and Rs. 3,630, respectively. What is the amount on the same sum at the same rate in $2\frac{1}{2}$ years, interest compounded yearly?

((a))
Rs. 36,300
((b))
Rs. 36,000
((c))
Rs. 37,215
((d))
Rs. 38,115

Show Answer

Answer: ((d))

Rs. 38,115

Given:

CI for 2^nd year = 3300

CI for 3^rd year = 3630

Calculation:

Interest rate = [(3630 – 3300)/3300] × 100 = 10%

CI for first year = 3300 × 100/110 = 3000

Let Principal be P, then

⇒ 10 % of P = 3000

P × 1/10 = 3000

P = 30,000

Interest rate for $2\frac{1}{2}$ years = CI for 1^st year + CI for 2^nd year + [CI for 3^rd year]/2

⇒ 3000 + 3300 + 3630/2

⇒ 3000 + 3300 + 1815

Amount after $2\frac{1}{2}$ year = 30,000 + 8115 = 38115

∴ The correct answer is Rs. 38,115.

116

A 22 m long ladder (whose foot is on the ground) leans against a wall making an angle of 60° with the ground. What is the height (in m) of the point where the ladder touches the wall from the ground?

((a))
$\frac{{22\sqrt 2 }}{3}$
((b))
11√2
((c))
11
((d))
11√3

Show Answer

Answer: ((d))

11√3

Detailed Solution:

Given,

In △ABC

sin 60 = AB/AC

√3/2 = AB/22

AB = 11√3

Shortcut Trick

2 unit = 22

√3 unit = 11√3

117

A invests Rs. 6,00,000 more than B in a business. B invests his capital for $7\frac{1}{2}$ months, while A invests his capital for $2\frac{1}{2}$ more months than B. Out of the total profit of Rs. 12,40,000, if the share of B is Rs. 2,48,000 less than the share of A, then the capital of B is:

((a))
Rs. 40,00,000
((b))
Rs. 42,00,000
((c))
Rs. 45,00,000
((d))
Rs. 48,00,000

Show Answer

Answer: ((d))

Rs. 48,00,000

Concept used:

Profit = Investment × Time

Calculation:

Total profit = 12,40,000

Let profit of A be x

Profit of B = x – 248000

x + x – 2,48,000 = 12,40,000

2x = 12,40,000 + 2,48,000

2x = 1488000

x = 744000

Profit of A = 744000

Profit of B = 744000 – 248000 = 496000

Let money invested by B be Rs y.

Money invested by A = y + 600000

Time for B = $7\frac{1}{2} = \frac{{15}}{2};months$

Time for A = $7\frac{1}{2} + 2\frac{1}{2} = 10;months$

As we know,

Capital × Time = Profit

(y + 6,00,000) × 10 : y × (15/2) = 744000 : 496000

10 (y + 6,00,000) : 15y/2 = 3 : 2

4 (y + 6,00,000) : 3y = 3 : 2

(4y + 24,00,000)/3y = 3/2

8y + 48,00,000 = 9y

9y – 8y = 48,00,000

y = 48,00,000

Shortcut Trick

As we know,

Capital × Time = Profit

Profit share of A to B = 3 : 2

Time ratio of A to B = 10 : 15/2 = 4 : 3

According to the question

4A/3B = 3/2

A/B = 9/8

So, capital ratio of A to B = 9 : 8

(9 – 8) = 1 unit = 6,00,000

8 unit = 6,00,000 × 8 = 48,00,000

118

In finding the HCF of two numbers by division method, the quotients are 1, 8 and 2 respectively, and the last divisor is 105. What is the sum of the numbers?

((a))
3885
((b))
3675
((c))
3570
((d))
3780

Show Answer

Answer: ((d))

3780

Detailed Solution:

AS we know,

Dividend = Divisor × quotient + remainder

Last divisor = 105 and quotient = 2

Dividend (c) = 105 × 2 = 210

Now,

Divisor = 210, quotient = 8 and remainder = 105.

Dividend (a) = 210 × 8 + 105 = 1785

Again

Divisor = 1785, quotient = 1 and remainder = 210

Dividend (b) = 1785 × 1 + 210 = 1995

Sum of a and b = 1785 + 1995 = 3780

Short Trick:

The two numbers are a and b

c = 105 × 2 = 210

b = 210 × 8 + 105 = 1785

a = 1785 × 1 + 210 = 1995

a + b = 1785 + 1995 = 3780

Direction∶ Study the bar graph and answer the question.

119

The ratio of the number of neon lamps having a life of 900 hours or more to the number of lamps having life less than 700 hours is:

((a))
6 : 7
((b))
7 : 8
((c))
25 : 21
((d))
8 : 9

Show Answer

Answer: ((d))

8 : 9

Number of lamps having a life of 900 hrs or more = 70 + 55 + 35 = 160

Number of lamps having a life less than 700 hrs = 75 + 60 + 45 = 180

Required ratio = 160 : 180 = 8 : 9

120

A person takes 40 minutes more than his usual time when he covers a distance of 20 km at 5 km/h. If he covers the same distance at 8 km/h, he takes x minutes less than the usual time. What is the value of x?

((a))
50
((b))
48
((c))
54
((d))
45

Show Answer

Answer: ((a))

Given:

Speed of man = 5 km/h

Distance = 20 km

Formula used:

Speed = Distance / Time

Calculation:

As we know,

Time = Distance/Speed = 20/5 = 4 hr

Usual time = 4 hr – 40 min = 3 hr and 20 min

Second condition

Speed of man = 8 km/hr

Time = Distance /Speed = 20/8 = 2 hr 30 min

Time difference = (3 hr + 20 min) – (2 hr + 30 min) = 50 min

Shortcut Trick

According to the question,

⇒ [(5 × 8)/(8 – 5)] × [(40 + x)/60] = 20

⇒ [40/3] × [(40 + x)/60] = 20

⇒ (40 + x) = (20 × 60 × 3)/40 = 90

⇒ x = 90 – 40

∴ x = 50

121

If x = 5.51, y = 5.52 and z = 5.57, then what is the value of x³ + y³ + z³ – 3xyz?

((a))
5.146
((b))
51.46
((c))
0.05146
((d))
0.5146

Show Answer

Answer: ((c))

0.05146

Given:

x = 5.51, y = 5.52 and z = 5.57

Formula used:

x3 + y3 + z3 – 3xyz = (1/2) (x + y + z) [(x – y)2 + (y – z)2 + (z – x)2]

As we know,

x³ + y³ + z³ – 3xyz = (1/2) (x + y + z) [(x – y)² + (y – z)² + (z – x)²]

⇒ (1/2) × (5.51 + 5.52 + 5.57) [(5.51 – 5.52)² + (5.52 – 5.57)² + (5.57 – 5.51)²]

⇒ (1/2) × 16.6 × [(-0.01)² + (-0.05)² + (0.06)²]

⇒ 8.3 × [0.0001 + 0.0025 + 0.0036]

⇒ 8.3 × 0.0062

⇒ 0.05146

∴ The Required answer is 0.05146.

122

If 21 tan θ = 20, then (1 + sin θ + cos θ) : (1 – sin θ + cos θ) = ?

((a))
3 : 1
((b))
2 : 1
((c))
5 : 2
((d))
7 : 3

Show Answer

Answer: ((d))

7 : 3

Given:

21 tan θ = 20

tan θ = 20/21

Formula used:

tan θ = Perpendicular/Base

Sin θ = Perpendicular/hypotaneous

Cos θ = Base/hypotaneous

(Hypotenuse)2 = (Perpendicular)2 + (Base)2

Calculation:

If,

tan θ = Perpendicular/Base = 20/21

(Hypotenuse)² = (Perpendicular)² + (Base)²

(Hypotenuse)² = (20)² + (21)²

(Hypotenuse)² = 400 + 441 = 841

Hypotenuse = √841 = 29

Now,

⇒ (1 + sin θ + cos θ) : (1 – sin θ + cos θ)

⇒ (1 + 20/29 + 21/29) : (1 – 20/29 + 21/29)

⇒ [(29 + 20 + 21)/29] : [(29 – 20 + 21)/29]

⇒ 70 : 30

⇒ 7 : 3

∴ The correct answer is 7 : 3.

123

As observed from the top of a lighthouse, 45 m high above the sea-level, the angle of depression of a ship, sailing directly towards it, changes from 30° to 45°. The distance travelled by ship during the period of observation is: (Your answer should be correct to one decimal place).

((a))
36.9 m
((b))
32.9 m
((c))
33.4 m
((d))
24.8 m

Show Answer

Answer: ((b))

32.9 m

Given, AB = 45,

In △ABC

tan 45 = AB/BC

1 = 45/BC

BC = 45

In △ABD

tan 30 = AB/BD

1/√3 = 45/BD

BD = 45√3

BD = CD + BC

45√3 = CD + 45

CD = 45 (√3 – 1)

CD = 45 × (1.732 – 1)

CD = 45 × 0.732 = 32.9

∴ The correct answer is 32.9 m

Shortcut Trick

1 unit = 45 m

(√3 – 1) unit = 45(√3 – 1) = 45 × 0.732 = 32.9 m

∴ The correct answer is 32.9 m

124

In ΔABC, ∠A = 90°, AB = 16 cm and AC = 12 cm. D is the midpoint of AC and DE ⊥ CB at E. What is the area (in cm²) of ΔCDE?

((a))
7.68
((b))
6.25
((c))
8.64
((d))
5.76

Show Answer

Answer: ((c))

8.64

Given:

In ΔABC, ∠A = 90°, AB = 16 cm and AC = 12 cm.

D is the midpoint of AC and DE ⊥ CB at E.

Concept used:

Area of triangle = (1/2) × base × height

Calculation:

In ΔABC

BC² = AB² + AC²

BC² = 16² + 12² = 256 + 144 = 400

BC = √400 = 20

Area of ΔABC = (1/2) × 12 × 16 = 96 cm²

As we know,

ΔABC ∼ ΔEDC

(Area of ΔEDC)/(Area of ΔABC) = (DC/BC)²

(Area of ΔEDC)/96 = (6/20)² = 36/400

Area of ΔEDC = (36/400) × 96 = 8.64 cm²

125

The number of neon lamps having a life of 600 hours or more but less than 800 hours is what percentage of the total number of neon lamps having a life of 800 hours or more?

((a))
68.75
((b))
66.67
((c))
69.25
((d))
67.50

Show Answer

Answer: ((a))

68.75

Number of lamps having a life of 600 hours or more but less than 800 hours is = 75 + 90 = 165

Number of lamps having a life of 800 hours or more = 80 + 70 + 55 + 35 = 240

Required percentage = [165/240] × 100 = 68.75%

126

A solid metallic sphere of radius 6.3 cm is melted and recast into a right circular cone of height 25.2 cm. What is the ratio of the diameter of the base to the height of the cone?

((a))
2 : 1
((b))
3 : 2
((c))
1 : 2
((d))
2 : 3

Show Answer

Answer: ((c))

1 : 2

Given:

Radius of the sphere = 6.3 cm

Height of the cone = 25.2 cm

Formula used:

Volume of sphere = (4/3)πR³

Volume of cone = (1/3)πr²h

Calculation:

According to the question

(4/3) πR³ = (1/3) πr²h

(4/3) × 6.3 × 6.3 × 6.3 = (1/3) × r² × 25.2

r = √[(4 × 6.3 × 6.3 × 6.3)/25.2]

r = 6.3

Diameter = 2 × 6.3 = 12.6

Required ratio = 12.6 : 25.2 = 1 : 2

∴ The correct answer is 1 : 2

127

If the difference between the number of computers sold in March and the number of computers sold in January is x, then x lies between:

((a))
150 and 200
((b))
200 and 250
((c))
250 and 300
((d))
300 and 350

Show Answer

Answer: ((b))

200 and 250

Calculation:

Since the pie chart contains a complete angle of 360°

∴ 360^°= 5400

⇒ 1^°= 15

The difference between the number of computers sold in March and the number of computers sold in January = (99 – 85) = 14^°

⇒ 15 × 14 = 210

As we know, 210 lies between 200 and 250.

128

The value of $\frac{{4.669; \times ;4.669 - 9; \times ;{{\left( {0.777} \right)}^2}}}{{{{\left( {4.669} \right)}^2}; + ;{{\left( {2.331} \right)}^2}; + ;14\left( {0.667} \right)\left( {2.331} \right)}}$ is (1 – k), where k = ?

((a))
0.647
((b))
0.467
((c))
0.768
((d))
0.666

Show Answer

Answer: ((d))

0.666

$\frac{{4.669; \times ;4.669 - 9; \times ;{{\left( {0.777} \right)}^2}}}{{{{\left( {4.669} \right)}^2}; + ;{{\left( {2.331} \right)}^2}; + ;14\left( {0.667} \right)\left( {2.331} \right)}}; = ;1 - k$

$\frac{{4669; \times ;4669 - 9; \times ;{{\left( {777} \right)}^2}}}{{{{\left( {4669} \right)}^2}; + ;{{\left( {2331} \right)}^2}; + ;14\left( {667} \right)\left( {2331} \right)}}; = ;1 - k$

$\frac{{{{4669}^2} - {{\left( {2331} \right)}^2}}}{{{{\left( {4669} \right)}^2}; + ;{{\left( {2331} \right)}^2}; + ;2\left( {4669} \right)\left( {2331} \right)}}; = ;1 - k$

$\frac{{{{\left( {4669} \right)}^2} - {{\left( {2331} \right)}^2}}}{{{{\left( {4669; + ;2331} \right)}^2}}}; = ;1 - k$

(4669 – 2331) (4669 + 2331)/(4669 + 2331)² = 1 – k

(4669 – 2331)/(4669 + 2331) = 1 – k

2338/7000 = 1 – k

0.334 = 1 – k

k = 1 – 0.334

k = 0.666

129

If A is 48% more than B and C is 60% less than the sum of A and B, then A is what percentage more than C? (Correct to one decimal place.)

((a))
50.2
((b))
49.8
((c))
50.8
((d))
49.2

Show Answer

Answer: ((d))

49.2

Value of B be 100

Let value of A = 100 × (148/100) = 148

Now, C is 60% less than the sum of A and B

⇒ C = 40% of (A + B)

⇒ C = 40% of (148 + 100)

⇒ C = (148 + 100) × (40/100) = 99.2

A is more than C by = 148 - 99.2 = 48.8

A is more than C by = (48.8/99.2) × 100 = 49.2%

∴ The correct answer is 49.2%

130

A can do $\frac{2}{5}$ of a work in 12 days while B can do $66\frac{2}{3}%$ of the same work in 16 days. They work together for 10 days. B alone will complete the remaining work in:

((a))
4 days
((b))
6 days
((c))
8 days
((d))
9 days

Show Answer

Answer: ((b))

6 days

Given:

A can do 2/5 of a work in 12 days

B can do $66\frac{2}{3}%$ of the same work in 16 days

They work together for 10 days.

Formula used:

Work Done = time × efficiency

Calculation:

A can-do whole work in = 12 × (5/2) = 30 days

$66\frac{2}{3}% = \frac{{200}}{3}% = \frac{2}{3}$

B can do 2/3 of a work in = 16 days

B can do whole work in = 16 × (3/2) = 24 days

Total work = 120

A and B work in 10 days = (5 + 4) × 10 = 90

Remaining work = 120 – 90 = 30

Remaining work B will complete in = 30/5 = 6 days

∴ The correct answer is 6 days.

131

In school, 60% of the number of students are boys and the rest are girls. If 20% of the number of boys failed and 65% of the number of girls passed the examination, then the percentage of the total number of students who passed is:

((a))
74
((b))
72
((c))
78
((d))
68

Show Answer

Answer: ((a))

Let total number be students be 100

Number of boys = 100 × (60/100) = 60

Number of girls = 100 – 60 = 40

Number of passed boys = 60 × (80/100) = 48

Number of passed girls = 40 × (65/100) = 26

Total passed students = 48 + 26 = 74

Required percentage = (74/100) × 100 = 74%

Direction∶ Study the bar graph and answer the question.

132

In how many years was the number of trees planted in state B more than the average number of trees planted in state A over the years?

((a))
4
((b))
1
((c))
2
((d))
3

Show Answer

Answer: ((d))

Average number of trees in state A = (70 + 90 + 78 + 92 + 100)/5 = 430/5 = 86

There are 3 years in 2015, 2016 and 2018 in which the number of trees planted in State B more than the average number of trees planted in state A over the years.

133

The total number of trees planted in state B in 2015 and 2017 was what percentage less than the total number of trees planted in state A in 2014, 2016 and 2017? (Your answer should be correct to one decimal place)

((a))
21.4
((b))
20.8
((c))
19.8
((d))
20.1

Show Answer

Answer: ((b))

20.8

Calculation:

Total number of trees planted in state B in 2015 and 2017

= 118 + 72

= 190

Total number of trees planted in state A in 2014, 2016, and 2017

= 70 + 78 + 92 = 240

Required percentage = [(240 – 190)/240] × 100

= 20.8%

134

Working 7 hours a day, 18 persons can complete a certain work in 32 days. In how many days would 14 persons complete the same work, working 8 hours a day?

((a))
42
((b))
30
((c))
36
((d))
35

Show Answer

Answer: ((c))

As we know,

M₁× D₁ × T₁ = M₂ × D₂ × T₂

M = Men, D = Days, T = Time

18 × 32 × 7 = 14 × D₂ × 8

D₂ = (18 × 32 × 7)/14 × 8

D₂ = 36

135

An article is marked at 100% above its cost price. After allowing two successive discounts of 5% and 20% respectively on the marked price, it is sold at x% profit. What is the value of x?

((a))
52
((b))
72
((c))
48
((d))
75

Show Answer

Answer: ((a))

Let the CP of the article be 100

MP of the article = 100 × (200/100) = 200

SP of the article after two discount = 200 × (95/100) × (80/100) = 152

Required percentage = [(152 – 100)/100] × 100 = 52%

136

If 7 sin² θ + 3 cos² θ = 4, 0° < θ < 90°, then the value of (tan² 2θ + cosec² 2θ) is:

((a))
13/4
((b))
13/3
((c))
7
((d))
15/4

Show Answer

Answer: ((b))

13/3

7 sin²θ + 3cos²θ = 4

4sin²θ + 3(sin²θ + cos²θ) = 4

4sin²θ + 3 = 4

4sin²θ = 1

sin²θ = 1/4

sin θ = 1/2

sin θ = sin 30

θ = 30°

tan²2θ + cosec²2θ

tan²60 + cosec²60

3 + 4/3

13/3

Shortcut Trick

7sin²θ + 3cos²θ = 4

Put θ = 30

7 × (1/4) + 3 × (3/4) = 4

7/4 + 9//4 = 4

4 = 4 (Satisfied)

Now,

tan²2θ + cosec²2θ

tan²60 + cosec²60

3 + 4/3

13/3

137

The curved surface area of a right circular cone is 156π and the radius of its base is 12 cm. What is the volume of the cone, in cm³?

((a))
192 π
((b))
240 π
((c))
210 π
((d))
180 π

Show Answer

Answer: ((b))

240 π

Given:

Curved surface area of cone = 156π

Radius = 12 cm

Formula used:

Curved surface area of cone = πrl

Vomume of cone = (1/3)πr²h

L = √(r² + h²)

L= slant height

Calculation:

Radius of cone = r = 12 cm

Curved surface area of cone = πrl

⇒ πrl = 156π

⇒ 12 × l = 156

l = 13

l² = r² + h²

⇒ 13² = 12² + h²

⇒ h² = 169 – 144 = 25

⇒ h = √25 = 5 cm

Volume of cone = (1/3)πr²h

⇒ 1/3 × π × 12 × 12 × 5 = 240π

∴ The correct answer is 240π.

138

Pipes A and B can fill a tank in 36 hours and 48 hours, respectively. Both pipes are opened together for 9 hours and then A is closed. Pipe B alone will fill the remaining part of the tank now in :

((a))
27 hours
((b))
25 hours
((c))
$20\frac{1}{2}$ hours
((d))
24 hours

Show Answer

Answer: ((a))

27 hours

Given:

Time taken by pipe A = 36 hours

Tiem taken by pipe B = 48 hours

Concept used:

LCM method.

Calculation:

Total work = 144 unit

Work done by pipe A and pipe B in 9 hrs = (4 + 3) × 9 = 63

Remaining work = 144 – 63 = 81

Remaining work B will complete in = 81/3 = 27 hrs

Traditional method:

Pipe A and B can fill a tank in 36 hr and 48 hr respectively

According to the question

9(1/36 + 1/48) + x/48 = 1

(1/4 + 3/16) + x/48 = 1

(4 + 3)/16 + x/48 = 1

7/16 + x/48 = 1

x/48 = 1 – 7/16

x/48 = 9/16

x = 27 hr

∴ The required time is 27 hours.

139

The sides of a triangular park are 35 m, 53 m and 66 m. The cost of levelling the park at the rate of Rs. 9.25/m² is:

((a))
Rs. 8,584
((b))
Rs. 8.621
((c))
Rs. 8,547
((d))
Rs. 8,510

Show Answer

Answer: ((c))

Rs. 8,547

Given:

Sides of the triangular park = 35 m, 53 m and 66 m

The cost of levelling = Rs. 9.25/m²

Formula used:

Semi perimeter (s) = (a + b + c)/2

Area of triangle = √s(s – a)(s – b)(s – c)

Calculation:

⇒ s = (35 + 53 + 66)/2 = 154/2 = 77

Area of triangle = √s(s – a)(s – b)(s – c)

⇒ √{77(77 – 35)(77 – 53)(77 – 66)} = √{77 × 7 × 6 × 6 × 4 × 11}

⇒ 11 × 7 × 6 × 2 = 924

Cost of levelling of 1 m² = 9.25

Cost of levelling of 924 m² = 9.25 × 924 = 8547

∴ The correct answer is Rs. 8547

140

The value of $\sqrt {11; + ;2\sqrt {18} }$ is closest to:

((a))
4.8
((b))
4.4
((c))
3.8
((d))
4.1

Show Answer

Answer: ((b))

4.4

$\sqrt {11{\rm{}} + {\rm{}}2\surd 18}$

$\sqrt {{{\left( {\sqrt 9 } \right)}^2}{\rm{}} + {\rm{}}{{\left( {\sqrt 2 } \right)}^2}{\rm{}} + {\rm{}}2{\rm{}} \times {\rm{}}\sqrt 9 {\rm{}} \times {\rm{}}\sqrt 2 }$

$\sqrt {{{\left( {\sqrt 9 {\rm{}} + {\rm{}}\sqrt 2 } \right)}^2}}$

(√9 + √2)

3 + 1.4

4.4

141

A field is in the form of a circle. The cost of fencing around it at Rs. 12 per metre is Rs. 2,640. What is the area (in m²) of the field? (Take π = 22/7)

((a))
5544 m²
((b))
1925 m²
((c))
2772 m²
((d))
3850 m²

Show Answer

Answer: ((d))

3850 m²

Cost of 1 m fencing = Rs. 12 per metre

Total length of fencing = 2640/12 = 220 m

Perimeter of circle = 220

2πr = 220

2 × 22/7 × r = 220

r = 35

Area of circle = πr² = 22/7 × 35 × 35 = 3850 m²

142

If x and y are real numbers, then the least possible value of 4 (x – 2)² + (y – 3)² – 2 (x – 3)² is:

((a))
1
((b))
-4
((c))
-8
((d))
3

Show Answer

Answer: ((b))

-4

Given:

4(x – 2)² + (y – 3)² – 2(x – 3)²

Calculation:

4 (x – 2)2 + (y – 3)2 – 2 (x – 3)2

For least possible value put (y – 3)² = 0

4(x – 2)² – 2(x – 3)²

⇒ 4(x² + 4 – 4x) – 2(x² + 9 – 6x)

⇒ 4x² + 16 – 16x – 2x² – 18 + 12x

⇒ 2x² – 2 – 4x

⇒ 2(x² – 1 – 2x)

⇒ 2(x² + 1 – 2x – 2)

⇒ 2[(x – 1)² – 2]

As we know,

For least possible value put (x – 1)² = 0

⇒ 2 × (-2) = -4

143

A person invested a sum of Rs. 10,500 at x% per annum at simple interest and a sum of Rs. 13,500 at (x + 2)% p.a. at simple interest. If the total interest earned on both the investments for 3 years is Rs. 7,650, then the rate of interest on the first investment is:

((a))
8.5%
((b))
8%
((c))
9%
((d))
9.5%

Show Answer

Answer: ((d))

9.5%

As we know,

SI = prt/100

According to the question

(10500 × x × 3)/100 + [13500 × (x + 2) × 3]/100

315x + 405x + 810 = 7650

720x = 7650 – 810 = 6840

x = 6840/720 = 9.5%

Required rate = 9.5%

144

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

((a))
15/4
((b))
20
((c))
60
((d))
15/2

Show Answer

Answer: ((c))

Concept Used:

Follow the BODMAS rule according to the table given below:

Calculation:

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

⇒ 9 × [5 ÷ {(8 ÷ 32) + (4 ÷ 8)}]

⇒ 9 × [5 ÷ {1/4 + 1/2}]

⇒ 9 × [5 ÷ {(1 + 2)/4}]

⇒ 9 × [5 × 4/3]

⇒ 60

145

The total number of computers sold in February and April is what percentage more than the number of computers sold in May? (Your answer should be correct to one decimal place)

((a))
28.6
((b))
26.4
((c))
25.8
((d))
30.2

Show Answer

Answer: ((a))

28.6

Total number of computers sold in February and April = 45 + 54 = 99

Total number of computers sold in May = 77

Required percentage = [(99 – 77)/77} × 100 = 28.6%

146

The average of n observations is 40. If one observation of value 80 is added, then the average of all the observations is 41. What is the value of n?

((a))
43
((b))
38
((c))
39
((d))
40

Show Answer

Answer: ((c))

Given:

Average of n observations = 40

One value 80 is added so average becomes 41

Formula used:

Sum = Average × number of observations

Calculation:

Sum of n observation = 40n

Average of (n + 1) observation = 41

Sum of (n + 1) observation = (41) × (n + 1)

According to the question

40n + 80 = 41(n + 1)

40n + 80 = 41n + 41

41n – 40n = 80 – 41

n = 39

So, number of observation be 39

Shortcut Trick

The new number added = (n)(1) + (1)(41)

⇒ n + 41 = 80

⇒ n = 39

∴ The correct answer is 39.

147

The sides AB, BC and AC of a ΔABC are 12 cm, 8 cm and 10 cm respectively. A circle is inscribed in the triangle touching AB, BC and AC at D, E and F, respectively. The difference between the length of AD and CE is:

((a))
4 cm
((b))
5 cm
((c))
3 cm
((d))
2 cm

Show Answer

Answer: ((a))

4 cm

Given:

The sides AB, BC and AC of a ΔABC are 12 cm, 8 cm and 10 cm respectively:

Concept:

Calculation:

As we know

AD = AF, FC = CE and BE = BD [Tangents]

Let AD = x and CE = y

BD = 12 – x

BE = 12 – x

CE = BC – BE

y = 8 – 12 + x

y = x – 4

x – y = 4

AD – CE = 4 cm

Alternate MethodThe difference between the length of AD and CE is

x + y + y + z + z + x = 12 + 8 + 10

⇒ 2(x + y + z) = 30

⇒ (x + y + z) = 15

In triangle ABC, x + y = 12 and y + z = 8 then,

So, z = 3 and x = 7

Difference = AD - CE

⇒ x - z = 7 - 3 = 4 cm

148

Percentage decrease in the number of trees planted in 2016 in state A as compared to that in 2015 in the same state was:

((a))
$13\frac{2}{3}$
((b))
$13\frac{1}{3}$
((c))
$15\frac{5}{{13}}$
((d))
$15\frac{2}{3}$

Show Answer

Answer: ((b))

$13\frac{1}{3}$

Total number of trees planted in state A in 2016 = 78

Total number of trees planted in stage A in 2015 = 90

Required percentage = (90 – 78)/90 × 100 = 13 $\frac{1}{3}$ %

149

A sum (in Rs.) is distributed between A, B and C in the ratio 9 : 6 : 11. If A gives Rs. 500 from his share to C, the ratio of shares of A, B and C becomes 4 : 3 : 6. What is the sum of shares (in Rs.) of B and C, in the beginning?

((a))
Rs. 9,100
((b))
Rs. 8,500
((c))
Rs. 7,500
((d))
Rs. 7,800

Show Answer

Answer: ((b))

Rs. 8,500

Given:

A : B : C = 9 : 6 : 11

A gives Rs. 500

New ratio of A, B, C = 4 : 3 : 6

Calculation:

Sum of ratio of A, B and C = 9x : 6x : 11x

According to the question

⇒ (9x – 500)/(11x + 500) = 4/6 = 2/3

⇒ 3(9x – 500) = 2(11x + 500)

⇒ 27x – 1500 = 22x + 1000

⇒ 27x – 22x = 1000 + 1500

⇒ 5x = 2500

⇒ x = 500

Sum of share of B and C = 6x + 11x = 17x = 17 × 500 = 8500

∴ The correct answer is Rs. 8,500.

150

The number of neon lamps having a life of 500 hours or more but less than 800 hours is:

((a))
270
((b))
225
((c))
180
((d))
305

Show Answer

Answer: ((b))

225

Number of Lamps having a life of 500 hours or more but less than 800 hours is

= 60 + 75 + 90 = 225

English Comprehension (50 questions)

151

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

She availed of the big discounts at the sale.

((a))
No substitution
((b))
She availed for a
((c))
She availed herself of the
((d))
She availed on the

Show Answer

Answer: ((c))

She availed herself of the

The correct answer is option 3, i.e. 'She availed herself of the'.

In the underlined segment, the subject(she) and the verb(availed) is mentioned but the object is not mentioned here.Therefore, an improvement is required.

In option 3, the word 'herself' is used which is a reflexive pronoun and is used as an object. The correct pattern of the usage of the word avail is : avail oneself of something. It means to help oneself by making use of something that is available.

Correct Sentence: She availed herself of the big discounts at the sale.

152

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

A protected place for birds and animals

((a))
estuary
((b))
sanctuary
((c))
bunker
((d))
island

Show Answer

Answer: ((b))

sanctuary

The correct answer is option 2, i.e. sanctuary.

Let us look into the meaning of the given words:

Estuary: The tidal mouth of a large river
Sanctuary: A place where birds and animals are protected.
Bunker: An underground shelter
Island: A piece of land that is surrounded by water

Clearly, option 2 is the most appropriate one word substitution for the given group of words.

Read the given passage and fill in the blanks with the most appropriate options.

The refugees coming by boat to Italy have already set a record this year. The surge (1)______ partly from the civil war in Syria, which has forced 3 million people to (2)______ their homeland. Europe, peaceful, affluent and comparatively close- is a preferred (3). It's Section : English Comprehension where the desperate meets the developed. Often with the aid (4) reckless human traffickers, refugees attempt to cross the waters in rubber dinghies that can (5)______, plunging the occupants into the sea.

153

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

((a))
by
((b))
on
((c))
of
((d))
for

Show Answer

Answer: ((c))

The correct answer is option 3), i.e. 'of'.

The preposition 'of' should be used here in order to express the relationship between the word 'aid' and 'reckless'.

Hence option 3) is the answer.

154

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

((a))
purpose
((b))
target
((c))
destination
((d))
objective

Show Answer

Answer: ((c))

destination

The correct answer is option 3), i.e. 'Destination'.

This sentence talks about a place where some people are going.

Option 1, i.e. 'Purpose' which means 'motive' cannot be used here as the place cannot be called a 'purpose.'
Option 2, i.e. 'Target' which means 'goal' or 'aim' and it is not an appropriate word for the given blank.
Option 3, i.e. 'Destination' which means 'a journey's end' and it is the best fit for the sentence.
Option 4, i.e. 'Objective', which means 'purpose', is not the answer.

155

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

A detailed plan for a journey especially a list of places to visit

((a))
trajectory
((b))
itinerary
((c))
directory
((d))
inventory

Show Answer

Answer: ((b))

itinerary

The correct answer is option 2, i.e. 'itinerary'.

Let us look into the meaning of the given words:

Trajectory: A path (curved) which is followed by an object when it has been thrown into the air
Itinerary: A planned route to visit some places
Directory: A register
Inventory: A complete list of the objects or items in a place

Clearly, option 2 is the most appropriate one-word substitution for the given group of words.

156

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

One who devotes one's life to the welfare of other people.

((a))
Alchemist
((b))
Martyr
((c))
Altruist
((d))
Ambassador

Show Answer

Answer: ((c))

Altruist

The correct answer is option 3, i.e. 'altruist'.

The meaning of the given words:

Alchemist: The one who uses or practices alchemy (attempts to change ordinary metals into gold)
Martyr: A person who is murdered due to religious or political beliefs
Altruist: Selflessly dedicated to the welfare of others
Ambassador: Envoy or diplomat

Clearly, option 3 is the most appropriate one-word substitution for the given group of words.

157

Identify the segment that contains a grammatical error. If there is no error, select 'No error'

Need you to buy so many books?

((a))
so many books
((b))
to buy
((c))
Need you
((d))
No error

Show Answer

Answer: ((b))

to buy

The correct answer is option 2, i.e. 'to buy.'

When 'need' is used as 'have to' or expresses 'necessity', the preposition 'to' is not used before the verb.

The correct sentence should be: Need you buy so many books?

Hence, option 2 is the correct answer.

158

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

He had barely spoken the words when he realised his mistake.

((a))
No substitution
((b))
barely speak the words that
((c))
barely spoken the words than
((d))
barely spoke the words when

Show Answer

Answer: ((a))

No substitution

The correct answer is option 1), i.e. 'No substitution.'

Key Points

The underlined segment is free from any grammatical errors.
Therefore, no substitution is required here.

Hence, option 1) is the correct answer.

Important Points

When a story is told in the past tense, the adverbials hardly, scarcely, barely, and no sooner are often used to emphasize that one event quickly followed another.
The verb describing the earlier event is usually in the past perfect tense.
If hardly, scarcely, barely, and no sooner are in the initial position, the subject and auxiliary are inverted:
Examples:
Hardly had I arrived home when my phone rang. OR I had hardly arrived home when my phone rang.
Scarcely had he finished reading when she fell asleep. OR He had scarcely finished reading when she fell asleep.
Barely had they won the match when the coach had a heart attack. OR They had barely won the match when the coach had a heart attack.
No sooner had the firm launched its new product than it went bankrupt. OR The firm had no sooner launched its new product than it went bankrupt.

159

Identify the segment that contains a grammatical error. If there is no error, select 'No error'

These facts should not have been disclosed for the public.

((a))
No error
((b))
These facts should
((c))
for the public
((d))
not have been disclosed

Show Answer

Answer: ((c))

for the public

The correct answer is option 3, i.e. 'for the public.'

'Disclosed for' is incorrect. 'Disclosed to someone' is the correct form. So,'for' should be replaced with 'to'.

The meaning of the word disclose is to make new information / secret known.

Correct Sentence: These facts should not have been disclosed to the public.

160

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

((a))
fleet
((b))
flee
((c))
fled
((d))
fly

Show Answer

Answer: ((b))

flee

The correct answer is option 2, i.e. 'flee'.

From the given sentence, it can be said that it is talking about 'running away or escaping'.

Option 1, i.e. 'Fleet' which means 'a group of ships' is not the correct answer.
Option 2, i.e. 'Flee' which means 'run away' is the best fit for the sentence.
Option 3, i.e. 'Fled' is the Past tense of the word 'Flee'
Option 4,i.e. 'Fly' means 'to move quickly'.

Hence, option 2 is the correct answer.

161

Identify the segment that contains a grammatical error. If there is no error, select 'No error'

Either of the two supervisors were supposed to be present at the site.

((a))
No error
((b))
were supposed to be
((c))
the two supervisors
((d))
present at the site

Show Answer

Answer: ((b))

were supposed to be

The correct answer is option 2, i.e. 'were supposed to be'.

'Either' is used to express 'one or the other of the two persons or objects'. Therefore, the 'to be verb', that is used after the word either, should be written in the singular form.

'Were' should be replaced with 'was'.

Correct Sentence: Either of the two supervisors was supposed to be present at the site.

162

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

((a))
has resulted
((b))
is resulting
((c))
have resulted
((d))
is resulted

Show Answer

Answer: ((a))

has resulted

The correct answer is option 1, i.e. 'has resulted.'

In this sentence, an incident is mentioned which has happened in the past but it has some present consequences. Therefore, the Present Perfect tense must be used here.

'Has resulted' is the best fit.

163

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

Neither the directors nor the Chairman were available to interrogation.

((a))
were available by
((b))
was available for
((c))
were available for
((d))
No substitution

Show Answer

Answer: ((b))

was available for

The correct answer is option 2, i.e. 'Was available for'.

'Neither' is used to express 'none of the two persons or objects'.So, the 'to be verb' which is used after the subject should be written in singular nature. So, 'were' should be replaced with 'was'.Again, the preposition 'to' should be replaced as 'interrogation' is not a person - 'For' should replace 'to'.

Hence, option 2 is the most appropriate option to substitute the underlined segment.

164

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

One who denies oneself ordinary bodily pleasures

((a))
ascetic
((b))
theist
((c))
atheist
((d))
aesthetic

Show Answer

Answer: ((a))

ascetic

The correct answer is option 1), i.e. 'ascetic'.

Let us look into the meaning of the given words:

Ascetic: austere which means a lifestyle characterized by self-discipline, simplicity, and the renunciation of worldly comforts or pleasures
Theist: The one who believes in God
Atheist: The one who does not believe in God
Aesthetic philosophy of beauty, taste, and artistic expression.

Option 1 is the most appropriate one-word substitution for the given group of words.

165

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

Even if he is a honest man, he has been accused of theft.

((a))
Although he is an honest man
((b))
No substitution
((c))
Since he are an honest man
((d))
Even though he is a honest man

Show Answer

Answer: ((a))

Although he is an honest man

The correct answer is option 1, i.e. 'Although he is an honest man'.

'Even if' is used in the given sentence and it is incorrect because it is used to talk about unreal situation or when something is guessed. For example: I will not stay here, even if you request. The article 'a' is also incorrect before the word 'honest' .Therefore, it should be changed as the article an should be used before the vowel sounds : a,e,i,o,u.

In option 1, 'Although' is used which means 'in spite of something' and it is the best fit for the given context.

Hence, option 1 is the most appropriate option to substitute the underlined segment.

166

Identify the segment that contains a grammatical error. If there is no error, select 'No error'

We will have to walk now since we had missed the bus.

((a))
walk now
((b))
We will have to
((c))
No error
((d))
since we had

Show Answer

Answer: ((d))

since we had

The correct answer is option 4, i.e. 'since we had'.

In this given sentence, the mentioned incident has just occurred but it has some present consequences.Therefore, the present perfect tense must be used here instead of the past perfect tense.

'Had' should be replaced with 'have'.

Correct Sentence : We will have to walk now since we have missed the bus.

167

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

If I would have a degree from the university, I would get a good job.

((a))
If I am having the degree
((b))
If I had a degree
((c))
When I will have a degree
((d))
No substitution

Show Answer

Answer: ((b))

If I had a degree

The correct answer is: If I had a degree.

Key Points

The phrase "If I had a degree" is an example of a conditional statement in the past tense. It expresses a hypothetical situation or a condition that is contrary to reality. In this case, the speaker is saying that if they had a degree, they believe that they would have a better chance of getting a good job. However, since the speaker does not currently have a degree, it implies that they do not currently have a good job or may have limited job opportunities.
This type of conditional statement is known as a second conditional or Type 2 conditional, which is used to talk about hypothetical or unlikely situations in the present or future.
The incident that happens first or was supposed to happen first takes a past tense (V2 form of verb) in the ‘If’ clause when ‘would/could/should + V1’ is present in the main clause (result).
For example: If I had a bike, I would reach on time.
Similarly, in this context, 'had' (V2) should be in the 'If' clause because 'would + V1' (would get) is in the main clause.
Hence, 'If I had a degree' is the correct set of words that must substitute the underlined segment.

Therefore, the correct answer is: If I had a degree from the university, I would get a good job.

168

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

((a))
convert
((b))
renege
((c))
inverse
((d))
capsize

Show Answer

Answer: ((d))

capsize

The correct answer is option 4), i.e. 'capsize.'

In the given sentence, it is mentioned that the refugees try to escape in rubber dinghies. The consequence of which is also mentioned in the sentence.

Option 1, i.e. 'Convert' which means 'turn' cannot be the answer as the boat cannot only be turned.
Option 2, i.e. 'Renege' which means 'to go back on' is clearly not the answer.
Option 3, i.e. 'Inverse' which means 'reverse' is not the best fit for this sentence.
Option 4, i.e. 'Capsize' which means 'turn upside down' is the best fit because by turning the dinghies upside down, the mentioned consequence is possible.

Clearly, option 4) is the answer.

169

Identify the segment that contains a grammatical error. If there is no error, select 'No error'.

If he wants to recover, he must abstain for alcohol.

((a))
he must
((b))
No error
((c))
wants to recover
((d))
abstain for alcohol

Show Answer

Answer: ((d))

abstain for alcohol

The correct answer is option 4, i.e. 'abstain for alcohol.'

After the word 'abstain', the preposition 'from' is used - 'for' should be replaced with 'from'.

Correct Sentence: If he wants to recover, he must abstain from alcohol.

170

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

A shortened form of a word or phrase

((a))
Pseudonym
((b))
Summary
((c))
Abbreviation
((d))
Precis

Show Answer

Answer: ((c))

Abbreviation

The correct answer is option 3, i.e. 'abbreviation'.

Let us look into the meaning of the given words:

Pseudonym: Pen name or a fictitious name
Summary: A brief description of the main points
Abbreviation: A shortened form of a word or phrase
Precis: An abstract of a text

Clearly, option 3 is the most appropriate one word substitution for the given group of words.

Read the given passage and answer the questions that follow.

The beaver had made a dam about a hundred yards long, and it had formed out of the quickly flowing stream, a wide stretch of water about twelve feet deep. The dam was so firm and broad that it was easy for me to walk along it. After a hundred and fifty yards I came to a 'beaver's castle'- a great heap of logs skilfully fitted together, the lower part covered with earth and plants. The upper logs were put loosely together so that the air could pass through to the interior.

In the late autumn, before land and water are covered with snow and ice, the beaver has to make its dwelling frostproof. It collects young trees and gnaws the stems in a double cone until the tree falls. Then the long stems are gnawed into small sections, the thin twigs bitten off and the logs are dragged to the dwelling. There, the timber is piled on the castle, sometimes to a height of ten or twelve feet. Mud is brought up from the bottom of the lake and packed between the logs with the animal's clever forepaws. The interior is lined with the finest wood shavings. In this tall shelter, the beaver remains high and dry and protected from frost throughout the winter.

The only access to the dwelling is under the water, and even the forest wolves are not able to pull the firm building apart. The water is the beaver's element. On land, it moves slowly and awkwardly. Thus, it is vital for the beaver to have water in which it can swim, and where nature has not provided this condition for it, it creates it with its dam.

The beaver's activities can change whole landscapes. With this dam, for instance, on which I was standing, beavers had turned a whole wooded alley into a lake; trees that stood there had been killed by the water and had disappeared. The aquatic game had settled there. Ducks swam past us, and great must have been the number of fish, as swarms of trout had swum past me in the clear stream. Wide stretches of meadow had come into existence on the banks, with flat landing places to which the well-beaten beaver tracks led. Many years of building, gnawing and dragging must have gone into the completion of this immense task, creating a new region for the beaver to live in.

171

Which of the following statements is NOT true?

((a))
The beaver has to make its dwelling frostproof before it starts snowing.
((b))
The beaver can move quickly and easily on land and in water.
((c))
Wide stretches of meadows may come into existence on the banks of streams.
((d))
The access to the beaver's dwelling is under the water.

Show Answer

Answer: ((b))

The beaver can move quickly and easily on land and in water.

The correct answer is option 2), i.e. 'The beaver can move quickly and easily on land and in water.'

Option 1, i.e. "The beaver has to make its dwelling frostproof before it starts snowing." is true. According to the passage, "In the late autumn, before land and water are covered with snow and ice, the beaver has to make its dwelling frostproof."
Option 2, i.e. "The beaver can move quickly and easily on land and in water." is not true as they are slow and awkward in land. According to the passage,"The water is the beaver's element. On land, it moves slowly and awkwardly."
Option 3, i.e. "Wide stretches of meadows may come into existence on the banks of streams." is true. According to the passage, "Wide stretches of meadow had come into existence on the banks, with flat landing places to which the well-beaten beaver tracks led."
Option 4, i.e. "The access to the beaver's dwelling is under the water." is true. According to the passage,"The only access to the dwelling is under the water, and even the forest wolves are not able to pull the firm building apart."

Hence, the information provided in option 2 is not true.

172

The beavers can change the landscape by:

((a))
building castles with great heaps of logs.
((b))
dragging the logs of wood to the dwelling.
((c))
building dams that can convert a wooded alley into a lake.
((d))
swimming in the water along with ducks and trouts.

Show Answer

Answer: ((c))

building dams that can convert a wooded alley into a lake.

The correct answer is option 3, i.e. 'building dams that can convert a wooded alley into a lake.'

According to the passage, "The beaver's activities can change whole landscapes. With this dam, for instance, on which I was standing, beavers had turned a whole wooded alley into a lake."

In this passage, it is said that with the activities of the beavers, the whole landscape can be changed and one of those activities was building the dams.

Therefore option 3 is the answer.

173

What evidence in the passage suggests that beavers build strong dwellings?

((a))
The interior is lined with finest wood shavings.
((b))
The beaver's dwelling is frostproof.
((c))
It takes many years of hard work to build the dwelling.
((d))
Even the forest wolves cannot pull the dwelling apart.

Show Answer

Answer: ((d))

Even the forest wolves cannot pull the dwelling apart.

The correct answer is option 4), i.e. 'Even the forest wolves cannot pull the dwelling apart.'

In the passage, it is mentioned that the forest wolves cannot break the dwellings of the beavers. It can be said that the dwellings of the beavers are strongly built because it is so strong that no wild animal can pull it apart.

Therefore, the information provided in option 4 is the evidence which suggests that beavers build strong dwellings.

174

Which line in the passage most strongly indicates that beavers simply love being in or near water?

((a))
The dam was so firm and broad that it was easy to walk along.
((b))
The only access to the dwelling is under the water.
((c))
The beaver had made a dam out of the quickly flowing stream.
((d))
The water is the beaver's element.

Show Answer

Answer: ((d))

The water is the beaver's element.

The correct answer is option 4, i.e. 'The water is the beaver's element.'

In the given passage, it is clearly mentioned that "The water is the beaver's element." in the third paragraph, which means that the beaver's simply love being in or near water.

Hence, the line provided in option 4 most strongly indicates that weavers simply love being in or near water.

175

How does a beaver ensure that its castle is well ventilated?

((a))
The timber is piled upto ten feet high on the castle.
((b))
The long stems are gnawed into small sections.
((c))
The upper logs are loosely placed.
((d))
The logs are covered with earth and plants.

Show Answer

Answer: ((c))

The upper logs are loosely placed.

The correct answer is option 3, i.e. 'The upper logs are loosely placed'.

According to the given passage, "The upper logs were put loosely together so that the air could pass through to the interior."

The beavers used to place the upper logs loosely in order to keep the castle well ventilated.

Hence, option 3 is the best fit.

176

Select the most appropriate antonym of the given word.

PERTURB

((a))
Fluster
((b))
Soothe
((c))
Confound
((d))
Commend

Show Answer

Answer: ((b))

Soothe

The correct answer is option 2, i.e. Soothe.

Key Points

The correct antonym of "perturb" is "soothe".
The word "perturb" means to cause anxiety or disturbance in someone's mind.
For example, loud noise or unexpected events can perturb a person. Therefore, the opposite of "perturb" would be to calm or ease someone's mind, which is the meaning of "soothe".
Example sentences using "perturb" and "soothe":
The news of the impending storm was enough to perturb even the most seasoned sailors.
The loud music from the party next door perturbed her concentration and made it difficult to study.
The gentle sound of the waves and the warm breeze helped soothe her troubled mind.
Hence, option 2 is the most appropriate antonym of the word 'Perturb'.

Additional Information

Let's have a look at the meaning of the other words given in options:-
"Fluster" means to make someone nervous or confused, which is related to the meaning of "perturb" but not its antonym.
"Confound" means to confuse or puzzle someone, which is also related to the meaning of "perturb" but not its antonym.
"Commend" means to praise or express approval, which is not related to the meaning of "perturb" or its antonym.
Therefore, the correct answer is option 2) soothe.

177

Select the most appropriate antonym of the given word.

REPUGNANT

((a))
Sombre
((b))
Odious
((c))
Austere
((d))
Pleasant

Show Answer

Answer: ((d))

Pleasant

The correct answer is option 4, i.e. 'Pleasant'.

The meaning of the given word 'Repugnant' is 'Disgusting' or 'offensive'.

The meaning of the given words:

Sombre: Dark or dull
Odious: Revolting
Austere: Strict or harsh
Pleasant: Pleasing.

Clearly, option 4 is the most appropriate antonym of the word 'Repugnant'.

178

Select the most appropriate antonym of the given word.

DUBIOUS

((a))
Shady
((b))
Likely
((c))
Dusky
((d))
Fishy

Show Answer

Answer: ((b))

Likely

The correct answer is option 2, i.e. 'Likely'.

The meaning of the word 'Dubious' is 'Doubtful'.

Let us look into the meaning of the given words:

Shady: Dark
Likely: Probable
Dusky: Shadowy
Fishy: Suspicious

Clearly, option 2 is the most appropriate antonym of the given word 'Dubious'.

179

Select the most appropriate antonym of the given word.

DEMEAN

((a))
Belittle
((b))
Ignore
((c))
Admire
((d))
Menial

Show Answer

Answer: ((c))

Admire

The correct answer is option 3, i.e. 'Admire.'

The meaning of the word 'Demean' is 'degrading or shaming'.

Let us look into the meaning of the given words:

Belittle: Dismiss
Ignore: To take no notice of
Admire: To praise
Menial: Unskilled

Clearly, option 3 is the most appropriate antonym of the given word 'Demean'.

180

Select the most appropriate antonym of the given word.

IMPEDE

((a))
Retard
((b))
Hamper
((c))
Thwart
((d))
Expedite

Show Answer

Answer: ((d))

Expedite

The correct answer is option 4, i.e. 'Expedite'.

The meaning of the given word 'Impede' is 'to hinder / prevent / delay'.

Let us look into the meaning of the given words:

Retard: To delay
Hamper: To hinder
Thwart: To block
Expedite: To hurry

Clearly, option 4 is the most appropriate antonym of the given word 'Impede'.

181

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

He is completely at sea about where to invest his hard-earned money.

((a))
confused
((b))
sure
((c))
in shock
((d))
committed

Show Answer

Answer: ((a))

confused

The correct answer is option 1, i.e. 'confused'.

The meaning of the underlined idiom, i.e. 'at sea' is 'confused'.

Clearly, option 1 is the most appropriate meaning of the underlined idiom.

182

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

The thieves made off with all the cash and jewellery in the house.

((a))
squandered
((b))
ran away with
((c))
discovered
((d))
transferred

Show Answer

Answer: ((b))

ran away with

The correct answer is option 2, i.e. 'ran away with'.

Explanation:

Made off with means to steal something

Example- Somebody broke into the shop and made off with several TVs.

Synonyms- Abscond, Kleptocracy, etc.

183

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

The abrogation of article 370 was achieved in the teeth of tough resistance.

((a))
in a state of uncertainty
((b))
in a short span of time
((c))
in direct opposition to
((d))
in collaboration with

Show Answer

Answer: ((c))

in direct opposition to

The correct answer is option 3), i.e. 'in direct opposition to'.

The meaning of the underlined idiom 'in the teeth of' is 'In opposition to something'.

Clearly option 3 is the most appropriate meaning of the underlined idiom.

184

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

As the flood waters hit the coastal village, several families had a close shave.

((a))
to have no livelihood
((b))
to lose all possessions
((c))
nothing to eat
((d))
a narrow escape

Show Answer

Answer: ((d))

a narrow escape

The correct answer is option 4, i.e. a narrow escape.

The meaning of the underlined idiom, i.e. 'Close shave' is 'a narrow escape from a disaster'.

Clearly, option 4 is the most appropriate meaning of the underlined idiom.

185

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

Unless you are above board in your dealings, you will not be able to win the trust of your clients.

((a))
bold and reckless
((b))
smart and deceptive
((c))
honest and frank
((d))
exceptionally talented

Show Answer

Answer: ((c))

honest and frank

The correct answer is option 3, i.e. honest and frank.

The meaning of the underlined idiom, 'Above board' is 'in an honest and open way'.

Clearly, 'honest and frank' is the most appropriate meaning of the given idiom.

186

Select the most appropriate option to fill in the blank.

Hitler believed that the Nordic Aryan race was superior ______ all other races.

((a))
in
((b))
than
((c))
from
((d))
to

Show Answer

Answer: ((d))

The correct answer is: to.

Key Points

The preposition ‘to’ is used with 'superior', in case of the comparative degree.
For example: I am superior to you.
Similarly, in this question, the preposition 'to' must agree with 'superior'.

Therefore, the correct answer is: Hitler believed that the Nordic Aryan race was superior to all other races.

Additional Information

The preposition ‘to’ is used with the following adjectives, in case of the comparative degree:
Senior
Junior
Inferior
Superior
Prior
Prefer

187

Select the most appropriate option to fill in the blank.

I who ______ your friend and wellwisher, should have been informed about your decision.

((a))
is
((b))
am
((c))
are
((d))
be

Show Answer

Answer: ((b))

The correct answer is option 2, i.e. 'am'.

Key Points

When ‘who’ refers to a personal pronoun (I, you, he, she, we, they), it takes the verb that agrees with that pronoun.
For example: It is I who am responsible for this mess. (The verb “am” agrees with the subject “I”.)
Similarly, in this question, 'who' refers to the personal pronoun 'I'.
After the Pronoun 'I', the 'to be verb' 'am' is used.
Example: I am going to do it first thing tomorrow.
Therefore, the word that must fit the blank should be 'am'.

Correct Sentence: I who am your friend and wellwisher, should have been informed about your decision.

188

Select the most appropriate option to fill in the blank.

You are well prepared to handle the responsibilities bestowed ______ you.

((a))
at
((b))
to
((c))
upon
((d))
for

Show Answer

Answer: ((c))

upon

The correct answer is option 3, i.e. 'upon'.

The verb 'bestowed' is usually followed by the preposition 'on' or 'upon'. The meaning of the word bestow is to give something as an honour or present.

Complete Sentence: You are well prepared to handle the responsibilities bestowed upon you.

189

Select the most appropriate option to fill in the blank.

Due to shortage of time, I was unable ______ the task satisfactorily.

((a))
from complete
((b))
in completing
((c))
to complete
((d))
for completing

Show Answer

Answer: ((c))

to complete

The correct answer is option 3, i.e. 'to complete'.

'Unable to do something' is the correct form. So, 'to complete' should be chosen here as the correct answer.

Complete Sentence: Due to shortage of time, I was unable to complete the task satisfactorily.

190

Select the most appropriate option to fill in the blank.

Keep away from bad company ______ you should regret later.

((a))
lest
((b))
although
((c))
unless
((d))
whether

Show Answer

Answer: ((a))

lest

The correct answer is option 1, i.e. 'lest.'

The given sentence is expressing a situation that is **feared to take place.**Therefore, 'Lest' is the best fit for the blank space. It is used to indicate something done in order to avoid an undesirable consequence

Complete Sentence: Keep away from bad company lest you should regret later.

191

Select the wrongly spelt word.

((a))
Conceal
((b))
Precious
((c))
Article
((d))
Audibal

Show Answer

Answer: ((d))

Audibal

The correct answer is option 4, i.e. 'Audibal'.

Key Points

The word 'Audibal' is incorrectly spelt. The correct spelling of the word is 'Audible.'

Apart from the word 'Audibal', the other words are correctly spelt.

Let us look into the meaning of the given words:

Conceal : to prevent something from being seen or known about
Precious : valuable
Article : a particular object or item
Audible : able to be heard

Hence, option 4 is the wrongly spelt word.

192

Select the wrongly spelt word.

((a))
Millennium
((b))
Connoisseur
((c))
Sacrelegious
((d))
Manoeuvre

Show Answer

Answer: ((c))

Sacrelegious

The correct answer is option 3, i.e. 'Sacrelegious'.

The word 'Sacrelegious' is wrongly spelt. The correct spelling is 'Sacrilegious'.

Apart from the word 'sacrelegious', other given words are correctly spelt.

Let us look into the meaning of the given words:

Millennium: a period of one thousand years
Connoisseur: One who understands the details or knows a lot about arts, or food, drink
Sacrilegious: having or showing a lack of proper respect for a sacred person, place, or object
Manoeuvre: a movement or set of movements needing skill and care

193

Select the wrongly spelt word.

((a))
Evasion
((b))
Aviation
((c))
Omission
((d))
Avertion

Show Answer

Answer: ((d))

Avertion

The correct answer is option 4).

Key Points

The correct spelling of this word is 'Aversion'.

Other given words are correctly spelt.

Evasion: the process of avoiding something
Aviation: the operation and production of aircraft
Omission: the act of neglecting or excluding something or someone that should have been included
Aversion: a strong dislike

Hence, option 4 is the word, which is wrongly spelt.

194

Select the wrongly spelt word.

((a))
Burglery
((b))
Aviary
((c))
Treasury
((d))
Nursery

Show Answer

Answer: ((a))

Burglery

The correct answer is option 2 i.e. 'Burglery'.

The word 'Burglery' is wrongly spelt. The correct spelling of this word is 'Burglary'.

Apart from the word 'Burglery', the other given words are correctly spelt.

Let us look at the meaning of the given words:

Burglary : Breaking and entering a building unlawfully for the purpose of stealing
Aviary : a large enclosure for confining birds
Treasury : the funds of a group, institution or government
Nursery : a room or place set apart for young children

Hence, option 2 is the word which is wrongly spelt.

195

Select the wrongly spelt word.

((a))
Allergy
((b))
Reliant
((c))
Gluten
((d))
Aliminate

Show Answer

Answer: ((d))

Aliminate

The correct answer is option 4), i.e. 'Aliminate'.

The word 'Aliminate**'** is incorrectly spelt. The correct spelling is 'eliminate'.

Apart from the word 'Aliminate', the other given words are correctly spelt.

Let us look into the meaning of the given words:

Allergy : an abnormal reaction of the body to foreign substances by the immune system
Reliant : showing or having dependence
Gluten : a group of protein found in wheat or related grains
Eliminate : to get rid of something

196

Select the most appropriate synonym of the given word.

PERPETUATE

((a))
Prevent
((b))
Release
((c))
Preserve
((d))
Cease

Show Answer

Answer: ((c))

Preserve

The correct answer is option 3, i.e. 'Preserve'.

The meaning of the word 'Perpetuate' is 'to sustain'.

Let us look into the meaning of the given words:

Prevent: To stop
Release: To let go
Preserve: To conserve
Cease: To end

Clearly, option 3 is the most appropriate synonym of the word 'Perpetuate'.

197

Select the most appropriate synonym of the given word.

FLOURISH

((a))
Thrive
((b))
Wither
((c))
Shrivel
((d))
Languish

Show Answer

Answer: ((a))

Thrive

The correct answer is option 1, i.e. 'Thrive'.

The meaning of the given word 'Flourish' is 'to grow'.

Let us look into the meaning of the given words:

Thrive: To prosper or flourish
Wither: To fade
Shrivel: To wrinkle
Languish: To decline

Clearly, option 1 is the most appropriate synonym of the given word 'Flourish'.

198

Select the most appropriate synonym of the given word.

VENERABLE

((a))
Reliable
((b))
Esteemed
((c))
Valuable
((d))
Redeemed

Show Answer

Answer: ((b))

Esteemed

The correct answer is option 2, i.e. 'Esteemed.'

The meaning of the given word 'Venerable' is 'Respected' or 'honored'.
Let us look into the meaning of the given words:
Reliable: Dependable
Esteemed: Respected
Valuable: Precious
Redeemed: Regained

199

Select the most appropriate synonym of the given word.

INIMICAL

((a))
Hostile
((b))
Influential
((c))
Comparable
((d))
Deliberate

Show Answer

Answer: ((a))

Hostile

The correct answer is option 1, i.e. 'Hostile.'

The meaning of the word 'Inimical' is 'Harmful' or 'opposed'.

Let us look into the meaning of the given words:

Hostile: Opposed
Influential: Powerful
Comparable: Similar or near
Deliberate: done intentionally or in a planned manner

Clearly, option 1 is the most appropriate synonym of the word 'Hostile'.

200

Select the most appropriate synonym of the given word.

DISCERN

((a))
Neglect
((b))
Perceive
((c))
Daunt
((d))
Disregard

Show Answer

Answer: ((b))

Perceive

The correct answer is option 2, i.e. 'Perceive'.

The meaning of the given word 'Discern' is 'to recognize' or 'notice'.

Let is look into the meaning of the given words:

Neglect: To abandon
Perceive: To become aware of
Daunt: To intimidate
Disregard: Take no notice of

Clearly, option 2) is the most appropriate synonym of the given word 'Discern'.

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