Official Paper

SSC CPO Tier- I Previous Year Paper (Held on: 6th July 2017 Shift 2)

200 questions · 120 minutes · with answers · free

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General Intelligence and Reasoning (50 questions)

In the following question, select the word which cannot be formed using the letters of the given word.

TREASURER

((a))
SURE
((b))
TREAT
((c))
REST
((d))
TEASE

Show Answer

Answer: ((b))

TREAT

In word ‘Treat’, there is two ‘T’. But we have only one ‘T’ in the give word ‘TREASURE**’.**

Hence, the correct answer is ‘TREAT’.

In the following question, select the number which can be placed at the sign of question mark (?) from the given alternatives.

4	8	5
3	6	9
10	46	?

((a))
43
((b))
45
((c))
47
((d))
41

Show Answer

Answer: ((a))

The following logic is applied:

(4 × 3 - 2) = 12 – 2 = 10 and

(8 × 6 - 2) = 48 – 2 = 46

Similarly,

(5 × 9 - 2) = 45 –2 = 43

Hence, the correct answer is 43.

In the following question, select the missing number from the given series.

5, 9, 26, ?, 514, 3083

((a))
105
((b))
103
((c))
98
((d))
95

Show Answer

Answer: ((b))

103

The pattern followed is:

5 × 2 – 1 = 9

9 × 3 – 1 = 26

26 × 4 – 1 = 103

103 × 5 – 1 = 514

514 × 6 – 1 = 3086

Hence, ‘103’ is the correct answer.

In the following question, select the related letter pair from the given alternatives.

PRAY : SNEV : : ? : ?

((a))
GREY : JPIU
((b))
PONG : SPIB
((c))
SAGE : VWKB
((d))
LIST : ILVQ

Show Answer

Answer: ((c))

SAGE : VWKB

The pattern followed is:

Similarly,

Hence, ‘VWKB’ is the correct answer.

Which answer figure will complete the pattern in the question?

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

Show Answer

Answer: ((a))

Completing the incomplete pattern,

Hence, option 1 is the correct answer.

A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.

AZ, DW, IR, PK, ?

((a))
WD
((b))
UF
((c))
VE
((d))
YB

Show Answer

Answer: ((d))

The pattern followed is:

And the second term is reverse pair of 1^st term.

Hence, ‘YB’ is the correct answer.

How many triangles are there in the given figure?

((a))
8
((b))
7
((c))
9
((d))
6

Show Answer

Answer: ((b))

Triangles in the given figure: PQR, PRS, PST, PQS, PRT, PVU, PQT

Hence, the correct answer is 7.

If "P" denotes "added to", "Q" denotes "subtracted from", "R" denotes "divided by" and "S" denotes "multiplied by", then which of the following equation is true?

((a))
18 S 12 R 4 P 5 Q 6 = 65
((b))
4 P 57 R 3 Q 7 S 3 = – 2
((c))
6 P 7 Q 12 R 6 S 3 = 7
((d))
29 Q 28 R 2 P 3 S 2 = 10

Show Answer

Answer: ((c))

6 P 7 Q 12 R 6 S 3 = 7

Decoding given information:

P	Q	R	S
Denotes
+	-	÷	×

After replacing letters by their respective signs:

18 × 12 ÷ 4 + 5 – 6

= 18 × 3 + 5 – 6

= 54 + 5 – 6

= 59 – 6

= 53 ≠ 65

4 + 57 ÷ 3 - 7 × 3

= 4 + 19 - 7 × 3

= 4 + 19 – 21

= 23 – 21

= 2 ≠ -2

6 + 7 - 12 ÷ 6 × 3

= 6 + 7 - 2 × 3

= 6 + 7 – 6

= 13 – 6

= 7

29 - 28 ÷ 2 + 3 × 2

= 29 - 14 + 3 × 2

= 29 - 14 + 6

= 35 - 14

≠ 21

Hence, the correct answer is ‘6 P 7 Q 12 R 6 S 3 = 7’.

If 'A + B' means 'A is brother of B', 'A - B' means 'A is sister of B', 'A * B' means 'A is father of B', 'A ÷ B' means 'A is mother of B', then which of the following option signifies that P is grandmother of Q?

((a))
R – P * O – S – Q
((b))
R – P ÷ O + S * Q
((c))
R + P * O + S * Q
((d))
R – P * O + S ÷ Q

Show Answer

Answer: ((b))

R – P ÷ O + S * Q

'A + B' means 'A is brother of B'
'A - B' means 'A is sister of B'
'A * B' means 'A is father of B'
'A ÷ B' means 'A is mother of B'

We will use following table to draw tree diagram:

Checking all options:

R – P * O – S – Q

P is grandfather of Q.

R – P ÷ O + S * Q

P is grandmother of Q.

R + P * O + S * Q

P is grandfather of Q.

R – P * O + S ÷ Q

P is grandfather of Q.

Hence, the correct answer is ‘R – P ÷ O + S * Q’.

In the following question, select the odd number pair from the given alternatives.

((a))
36 : 729
((b))
48 : 1728
((c))
87 : 2744
((d))
74 : 1331

Show Answer

Answer: ((c))

87 : 2744

The pattern followed is:

(3 + 6) = 9, 9³ = 729

(4 + 8) = 12, 12³ = 1728

(8 + 7) = 15, 15³ = 3375 ≠ 2744

(7 + 4) = 11, 11³ = 1331

Hence, ‘87: 2744’ is the odd among given.

A piece of paper is folded and punched as shown below in the question figures. From the given answer figures, indicate how it will appear when opened?

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

Show Answer

Answer: ((c))

By opening the paper,

Hence, option 3 is the correct answer.

Three position of a cube are shown below.

which numbers will come on two faces marked ‘A and B’?

((a))
1 and 2
((b))
6 and 1
((c))
4 and 2
((d))
5 and 2

Show Answer

Answer: ((c))

4 and 2

By looking at given cubes we get that

3 will be opposite of 1

5 will be opposite of 2

6 will be opposite of 4

(1 and 2) → 1 cannot be adjacent of 3.

(6 and 1) → 1 cannot be adjacent of 3

(4 and 2) → This is the correct answer.

(5 and 2) → 2 cannot be adjacent to 5.

Hence, ‘4 and 2’ is the correct answer.

In a certain code language, "BRAIN" is written as "PGCPD" and "STOLE" is written as "GJQRU". How is "ZURIC" written in that code language?

((a))
DIPVY
((b))
EGTSB
((c))
DKUVB
((d))
EKTWB

Show Answer

Answer: ((b))

EGTSB

The pattern followed is:

And

Similarly,

Hence, the correct answer is ‘EGTSB’.

In the following question, select the related word pair from the given alternatives.

Mathematics : Numbers : : ? : ?

((a))
Geography : Chemicals
((b))
Chemistry : Law of motion
((c))
History : Events
((d))
Economics : Dates

Show Answer

Answer: ((c))

History : Events

Mathematics is the subject which deal with numbers,

Similarly,

History subject deals with past events.

Hence, ‘History: Events’ is the correct answer.

A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that of Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example, ‘V’ can be represented by 20, 44, etc, and ‘R’ can be represented by 66, 97 etc. Similarly, you have to identify the set for the word ‘SLAIN'.

Matrix - I
	0	1	2	3	4
0	Q	V	N	I	S
1	I	S	Q	V	N
2	V	N	I	S	Q
3	S	Q	V	N	I
4	N	I	S	Q	V

Matrix - II
	5	6	7	8	9
5	A	L	M	P	R
6	P	R	A	L	M
7	L	M	P	R	A
8	R	A	L	M	P
9	M	P	R	A	L

((a))
04, 68, 55, 23, 20
((b))
30, 55, 56, 03, 32
((c))
23, 56, 67, 34, 40
((d))
11, 68, 66, 14, 21

Show Answer

Answer: ((c))

23, 56, 67, 34, 40

04, 68, 55, 23, 20 → S L A S V

30, 55, 56, 03, 32 → S A L IV

23, 56, 67, 34, 40 → S L A I N

11, 68, 66, 14, 21 → S L R N N

Hence, ‘23, 56, 67, 34, 40’ is the correct answer.

A piece of paper is folded and punched as shown below in the question figures. From the given answer figures, indicate how it will appear when opened?

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

Show Answer

Answer: ((a))

Hence, option 3 is the correct answer.

Arrange the given words in the sequence in which they occur in the dictionary.

Seven
Store
Strom
Stare
Sting

((a))
14523
((b))
14325
((c))
15432
((d))
12453

Show Answer

Answer: ((a))

14523

Seven → Stare → Sting → Store → Strom

Hence, ‘14523’ is the correct answer.

In the following question, select the odd word from the given alternatives.

((a))
Earth
((b))
Sun
((c))
Mercury
((d))
Jupiter

Show Answer

Answer: ((b))

Sun

Earth, Mercury, Jupitar are planets in the solar system, but Sun is a star,

Solar system consists of 8 planets namely- Mercury, Venus, Earth, Mars, Jupiter, Saturn, Uranus, Neptune.

Inner planets	Mercury, Venus, Earth and Mars
Outer planet	Jupiter, Saturn, Uranus and Neptune
Brightest planet	Venus
Smallest planet	Mercury
Largest planet	Jupiter
Planet with rings	Saturn

Hence, ‘Sun’ is odd among the given options.

In the following question, select the word which cannot be formed using the letters of the given word.

TRADITIONAL

((a))
RADON
((b))
RATION
((c))
NATIONAL
((d))
TRAIN

Show Answer

Answer: ((c))

NATIONAL

In word ‘NATIONAL’, there is two ‘N’. But we have only one ‘N’ in the give word ‘TRADITIONAL**’.**

Hence, the correct answer is ‘NATIONAL’.

In the following question, select the related number from the given alternatives.

142 : 15 : : 234 : ?

((a))
45
((b))
39
((c))
33
((d))
46

Show Answer

Answer: ((c))

The pattern followed is:

(1 × 4 × 2) + (1 + 4 + 2) = 15

Similarly,

(2 × 3 × 4) + (2 + 3 + 4) = 33

Hence, 33 is the correct answer.

In the following question, select the number which can be placed at the sign of question mark (?) form the given alternatives.

((a))
16
((b))
36
((c))
25
((d))
49

Show Answer

Answer: ((d))

The following logic has applied:

Opposite of 1 is written as (1 + 1)²= 2² = 4,

Opposite of 2 is written as (2 + 1)²= 3² = 9,

Opposite of 3 is written as (3 + 1)²= 4² = 16,

Opposite of 6 is written as (6 + 1)²= 7² = 49

Hence, the correct answer is 49.

If a mirror is placed on the line AB, then which of the answer figures is the right image of the given figure?

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

Show Answer

Answer: ((a))

The mirror image will be,

Hence, option 1 is the correct answer.

In the given figure, which Roman numeral represents round table which are not stones?

((a))
IV
((b))
V
((c))
VI
((d))
I

Show Answer

Answer: ((b))

We have to choose intersection of Round and Table which is outside of Stone.

Hence, “V” is the correct answer.

In the following question, select the odd word from the given alternatives.

((a))
Eagle
((b))
Crow
((c))
Pigeon
((d))
Ostrich

Show Answer

Answer: ((d))

Ostrich

Eagle, crow, pigeon are birds with ability to fly.

While,

Ostrich is a bird which cannot fly.

Hence, ‘Ostrich’ is odd among given options.

If a mirror is placed on the line AB, then which of the answer figures is the right image of the given figure?

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

Show Answer

Answer: ((c))

The mirror image will be,

Hence, option 3 is the correct answer.

If 436 = 3, 783 = 8 and 654 = 5, then 896 = ?

((a))
5
((b))
8
((c))
7
((d))
6

Show Answer

Answer: ((d))

The pattern followed is:

436 → 4 + 3 + 6 = 13 → 1 × 3 = 3

783 → 7 + 8 + 3 = 18 → 1 × 8 = 8

654 → 6 + 5 + 4 = 15 → 1 × 5 = 5

Similarly,

896 → 8 + 9 + 6 = 23 → 2 × 3 = 6

Hence, ‘6’ is the correct answer.

Note: This question was given incorrectly in the actual paper, we have made it correct.

Identify the diagram that best represents the relationship among the given classes. Fruits, Mango, Ripe

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

Show Answer

Answer: ((b))

All mango is fruit.

As some fruit can be ripe and some not.

Hence, option 2 is the correct answer.

In each of the following question below are given some statements followed by some conclusions. Taking the given statements to be true even if they seem to be at variance from commonly known facts, read all the conclusions and then decide which of the given conclusion logically follows the given statements.

Statements:

I. Some cup are hot.

II. All hot are tea.

Conclusions:

I. Some tea are cup.

II. All cups are tea.

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

Show Answer

Answer: ((a))

Only conclusion (I) follows

Drawing least possible diagram:

I. Some tea is cup → True

II. All cups are tea → False (This is possible but not definite)

Hence, the correct answer is ‘Only conclusion (I) follows’.

Statements:

I. All big are small.

II. Some small are tall.

III. No tall is white.

Conclusions:

I. Some big are white.

II. Some big are not white.

III. Some small are not white.

((a))
Only conclusion (I) and (II) follow
((b))
Only conclusion (II) and (III) follow
((c))
Only conclusion (III) follows
((d))
None conclusion follows

Show Answer

Answer: ((c))

Only conclusion (III) follows

I. Some big are white → False (Possible but not definite)

II. Some big are not white → False (Possible but not definite)

III. Some small are not white → True ( As some Tall are Small and no tall is white)

Hence, the correct answer is ‘Only conclusion (III) follows’.

In a certain code language, "pink" is written as "green", "green" is written as "yellow", "yellow" is written as "red", "red" is written as "white" and "white" is written as "indigo", then in the same code language what is the colour of blood?

((a))
White
((b))
Red
((c))
Green
((d))
Yellow

Show Answer

Answer: ((a))

White

The colour of blood is red. And red is written as ‘white’.

Hence, the correct answer is ‘White’.

In the following question, correct the equation by interchanging two signs.

18 ÷ 3 + 9 – 6 × 3 = 15

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

Show Answer

Answer: ((b))

and –

Expression: 18 ÷ 3 + 9 – 6 × 3

After interchanging the signs:

– and ×

18 ÷ 3 + 9 × 6 –3

= 6 + 9 × 6 –3

= 6 + 54 –3

= 60 – 3

= 57 ≠ 15

2) + and –

18 ÷ 3 – 9 + 6 × 3

=6 – 9 + 6 × 3

= 6 – 9 + 18

= 24 – 9

= 15

÷ and –

18 – 3 + 9 ÷ 6 × 3

= 18 – 3 + 1.5 × 3

= 18 – 3 + 4.5

= 22.5 – 3

= 19.5 ≠ 15

- and ÷

18 + 3 ÷ 9 – 6 × 3

= 18 + 0.333 – 6 × 3

= 18 + 0.333 – 18

= 0.333

= 0.333 ≠ 15

Hence, the correct answer is (+ and –).

In the following question, select the related letters from the given alternatives.

N : R : : V : ?

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

Show Answer

Answer: ((a))

The pattern followed is:

N + 4 = R

Similarly,

V + 4 = Z

Hence, Z is the correct answer.

A series is given with one term missing. Select the correct alternative from the given ones that will complete the series.

MSK, GUM, AWJ, UYL, ?

((a))
OAI
((b))
NPZ
((c))
MBJ
((d))
OCN

Show Answer

Answer: ((a))

OAI

The pattern followed is:

Hence, ‘OAI’ is the correct answer.

In the given figure, how many thin are either player or young but not both?

((a))
22
((b))
39
((c))
31
((d))
25

Show Answer

Answer: ((c))

Thin who are either player or young but not both:

Thin who are young + thin who are player = 14 + 17 = 31

Hence, ‘31’ is the correct answer.

A word is represented by only one set of numbers as given in any one of the alternatives. The sets of numbers given in the alternatives are represented by two classes of alphabets as shown in the given two matrices. The columns and rows of Matrix-I are numbered from 0 to 4 and that of Matrix-II are numbered from 5 to 9. A letter from these matrices can be represented first by its row and next by its column, for example, ‘E’ can be represented by 10, 22, etc, and ‘O’ can be represented by 55, 98, etc. Similarly, you have to identify the set for the word ‘PROBE’.

Matrix - I
	0	1	2	3	4
0	P	V	R	E	M
1	E	M	P	V	R
2	V	R	E	M	P
3	M	P	V	R	E
4	R	E	M	P	V

Matrix - II
	5	6	7	8	9
5	O	A	B	T	J
6	T	J	O	A	B
7	A	B	T	J	O
8	J	O	A	B	T
9	B	J	T	O	A

((a))
00, 33, 86, 95, 04
((b))
43, 40, 55, 88, 34
((c))
31, 02, 67, 56, 04
((d))
24, 21,12, 96, 00

Show Answer

Answer: ((b))

43, 40, 55, 88, 34

00, 33, 86, 95, 04 → P R O B M

43, 40, 55, 88, 34 → P R O B E

31, 02, 67, 56, 04 → P R O A M

24, 21,12, 96, 00 → P R P J P

Hence, ‘43, 40, 55, 88, 34’ is the correct answer.

If 32 + 21 = 2809 and 27 + 15 = 1764, then 31 + 13 = ?

((a))
1444
((b))
2116
((c))
1936
((d))
2304

Show Answer

Answer: ((c))

1936

The following logic is applied:

First we add the terms and then square of that sum is the answer.

32 + 21 = 53 → 53² = 2809 and 27 + 15 = 42 → 42² = 1764

In a similar way,

31 + 13 = 44 → 44² = 1936

Hence, the correct answer is 1936.

In a row of boys, Aman is 12th from top and Rajul is 18th from bottom. If they interchange their places, then Aman becomes 42nd from top. How many boys are there in the row?

((a))
62
((b))
60
((c))
58
((d))
59

Show Answer

Answer: ((d))

According to given information:

After interchanging the position,

Rajul is 42^nd from top so,

Total boys in the row = 42 + 17 = 59

Hence, ‘59’ is the correct answer.

In the following question, select the missing number from the given series.

1065, 850, 726, 663, 637, ?

((a))
631
((b))
598
((c))
630
((d))
624

Show Answer

Answer: ((c))

630

The pattern followed is:

Hence, ‘630’ is the correct answer.

Two position of a cube are shown below. What will come opposite to face containing ‘

’?

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

Show Answer

Answer: ((a))

By observing We can easily eliminate option 2 and option 3.

Option 4 cannot be the opposite as,

, and

are adjacent to each other.

Hence, option 1 is the correct answer.

How many triangles are there in the given figure?

((a))
14
((b))
19
((c))
20
((d))
15

Show Answer

Answer: ((b))

Triangles in the given figure: AGF, AFE, AGE, AGH, AHI, AHB, AIB, AEB, AGI, AGB, GHF, GIE, BEI, BED, BDC, BEC, BGD, BCG, EDJ, BEJ

Hence, the correct answer is 19.

Arrange the given words in the sequence in which they occur in the dictionary.

Nature
National
Nurture
Nice
Niggle

((a))
21453
((b))
12435
((c))
12453
((d))
21435

Show Answer

Answer: ((a))

21453

The dictionary order of given words is,

National → Nature → Nice → Niggle → Nurture

Hence, ‘21453’ is the correct answer.

In the following question, select the odd letters from the given alternatives.

((a))
QS
((b))
WY
((c))
HK
((d))
LN

Show Answer

Answer: ((c))

The pattern followed is:

Q + 2 = S

W + 2 = Y

H + 3 = K

L + 2 = N

Hence, ‘HK’ is odd among given options.

In the following question, select the odd letters from the given alternatives.

((a))
FJEK
((b))
UXTV
((c))
IMHN
((d))
PTOU

Show Answer

Answer: ((b))

UXTV

The pattern followed is:

Hence, ‘UXTV’ is the odd among given options.

In the following question, select the odd number pair from the given alternatives.

((a))
8 – 49
((b))
17 – 256
((c))
14 – 169
((d))
15 – 225

Show Answer

Answer: ((d))

15 – 225

Option 1 → 8 - 7²

Option 2 → 17 - 16²

Option 3 → 14 - 13²

Option 4 → 15 - 15²

Hence, ’15 - 225’ is odd among given.

The ratio of present ages of Raman and Salman is 4 : 5. After 5 years the ratio of ages of Salman and Karan will be 5 : 4. What is the difference (in years) in present age of Raman and Karan?

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

Show Answer

Answer: ((a))

Let,

Raman = x

Salman = y

Karan = z

According to given information:

$\frac{x}{y} = \frac{4}{5} \to y = ;\frac{{5x}}{4}$

According to second condition:

$\frac{{y + 5}}{{z + 5}} = ;\frac{5}{4}$

$4y + 20 = 5z + 25$

Putting value of y,

$4 \times \frac{{5;x}}{4} - 5z = 5$

$x - z = 1$

Hence, ‘1’ is the correct answer.

Which answer figure will complete the pattern in the question figure?

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

Show Answer

Answer: ((d))

Completing the pattern,

Hence, option 4 is the correct answer.

From the given answer figures, select the one in which the question figure is hidden/embedded.

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

Show Answer

Answer: ((d))

Hence, option 4 is the correct answer.

In the following question, select the related word pair from the given alternatives.

Businessman : Profit : : ? : ?

((a))
Doctor : Patient
((b))
Worker : Wage
((c))
Police : Criminal
((d))
Court : Judge

Show Answer

Answer: ((b))

Worker : Wage

Businessman earns profit from his work.

Similarly,

Worker earns wage from his work.

Hence, ‘Worker: Wage’ is the correct answer.

In the following question, select the related number from the given alternatives.

42 : 14 : : 56 : ?

((a))
18
((b))
41
((c))
48
((d))
65

Show Answer

Answer: ((b))

The pattern followed is:

42 → (4 × 2) + (4 + 2) = 8 + 6 = 14

Similarly,

56 → (5 × 6) + (5 + 6) = 30 + 11 = 41

Hence, 41 is the correct answer.

From the given answer figures, select the one in which the question figure is hidden/embedded.

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

Show Answer

Answer: ((d))

Hence, option 4 is the correct answer.

General Knowledge and General Awareness (50 questions)

What is the chemical symbol of 'Iron'?

((a))
Ir
((b))
Fe
((c))
F
((d))
In

Show Answer

Answer: ((b))

Ir	Iridium
Fe	Iron
F	Fluorine
In	Indium

Who is the recipient of Best Green Organisation Award 2017?

((a))
Katamati Iron Mine
((b))
Essel Mining and Industries Limited
((c))
Indraprastha Gas Limited
((d))
GMR Infra Limited

Show Answer

Answer: ((a))

Katamati Iron Mine

Best Green Organisation of the Year (2017) Award:

Won by “Tata Steel's Katamati iron mine” wins Best Green Organisation of the Year Award
Was presented at the Global Green Future Leadership Awards organised by World CSR Day

Besides nutrients, our body needs _____ and water.

((a))
Carbohydrates
((b))
Fats
((c))
Proteins
((d))
Dietary fibres

Show Answer

Answer: ((d))

Dietary fibres

Key Points

Carbohydrates, Fats, and Proteins are macronutrients that our body needs

Our body needs dietary fibre because:

It helps in preventing many chronic diseases.
It increases the bulk of stool.
It stimulates motion of the large intestine.

Additional Information

Carbohydrates:

Carbohydrates are the sugars, starches and fibres found in fruits, grains, vegetables and milk products.
Though often maligned in trendy diets, carbohydrates are one of the basic food groups - are important to a healthy diet.

Protein:

Proteins are made up of Amino Acids, essentially they are the building blocks of proteins.
Each protein is made from a combination of different amino acids
There are about 21 amino acids in total.

Fat/Lipid:

Lipids are molecules that contain hydrocarbons and make up the building blocks of the structure and function of living cells.

Which among the following comes under secondary sector of Indian Economy?

((a))
Sugar Industry
((b))
Fishing
((c))
Insurance
((d))
Transport of goods

Show Answer

Answer: ((a))

Sugar Industry

Sugar Industry	Secondary sector
Fishing	Primary sector
Insurance	Tertiary sector
Transport of goods	Tertiary sector

Who among the following proclaims Financial Emergency in India?

((a))
Prime Minister of India
((b))
President of India
((c))
Judge of Supreme court
((d))
Judge of the High court

Show Answer

Answer: ((b))

President of India

The correct answer is President of India

Key Points

Financial Emergency is a constitutional provision in India that allows the Union Government to take control of the financial affairs of the states, in case of a financial crisis.
According to Article 360 of the Constitution of India, if the President of India is satisfied that a situation has arisen in which the financial stability or credit of India or of any part of the territory thereof is threatened, he may, by Proclamation, make a declaration to that effect.
The proclamation of Financial Emergency must be approved by both houses of Parliament within two months. Once approved, the President can issue orders to the states to follow the directions of the Union Government in financial matters.
During this period, the Union Government can also reduce the allocations to states and change the terms and conditions of financial assistance given to the states.
However, it's worth noting that Financial Emergency has never been imposed in India since its independence in 1947.

Chicken Pox is caused by which micro-organism?

((a))
Bacteria
((b))
Fungus
((c))
Protozoa
((d))
Virus

Show Answer

Answer: ((d))

Virus

Chicken Pox is caused by virus Varicella zoster

Micro-organisms	Diseases
Bacteria	Cholera, Typhoid
Fungus	Aspergillosis, Fungal Eye Infections
Protozoa	Diarrhoea, Malaria
Virus	Chicken Pox, Hepatitis B, measles

What is the name of Government of India sponsored scheme to provide subsidized food to the poorest of the poor families?

((a))
SAMPADA
((b))
SAMADHAN
((c))
Antyodaya Anna Yojana
((d))
Deen Dayal Yojana

Show Answer

Answer: ((c))

Antyodaya Anna Yojana

Govt. of India Scheme	Aim
Antyodaya Anna Yojana	to provide subsidized food to the poorest of the poor families
SAMADHAN	A new strategy against the Maoists
SAMPADA	to supplement agriculture, modernize processing and decrease agricultural waste
Deen Dayal Upadhyaya Gram Jyoti Yojana	to provide continuous power supply to rural India

In which year Salt Satyagraha was initiated?

((a))
1927
((b))
1930
((c))
1932
((d))
1942

Show Answer

Answer: ((b))

1930

The correct answer is 1930.

Key Points

Salt Satyagraha:
also known as the Dandi March and the Dandi Satyagraha
to produce salt from the seawater in the coastal village of Dandi (now in Gujarat) as a direct action campaign of tax resistance and nonviolent protest against the British salt monopoly led by Mahatma Gandhi
The 24-day march lasted from 12 March 1930 to 6 April 1930

________ sector is characterised by small and scattered units which are largely outside the control of the government.

((a))
Unorganised
((b))
Organised
((c))
Disguised
((d))
Seasonal

Show Answer

Answer: ((a))

Unorganised

Unorganised Sector is characterised by small and scattered units which are largely outside control of the government.

Based on the employment conditions, sectors of Indian economy is further classified into:

Organised Sector	- incorporated with the appropriate authority or government - follow its rules and regulations - involves large-scale operations
Unorganised Sector	- not incorporated with the government - Doesn’t requires to follow any rules set up by government - involves small-scale operations

When was 'Project Elephant' launched in India?

((a))
1990
((b))
1992
((c))
1994
((d))
1996

Show Answer

Answer: ((b))

1992

Project Elephant:

launched in 1992
by the Ministry of Environment and Forests, Government of India
aims to provide financial and technical support of wildlife management efforts

by states for their free-ranging populations of wild Asian Elephants

Who appoints the chairman of Union Public Service Commission?

((a))
Prime Minister of India
((b))
President of India
((c))
Judge of Supreme Court
((d))
Judge of High Court

Show Answer

Answer: ((b))

President of India

The Chairman and other members of Union Public Service Commission(UPSC) are appointed by the President of India
Mrs. Preeti Sudan has been appointed new UPSC chairman .

Swang is a famous ________ form.

((a))
Dance
((b))
Music
((c))
Painting
((d))
Embroidery

Show Answer

Answer: ((a))

Dance

Swang:

is a popular folk dance–theatre form
Performed generally in Rajasthan, Haryana, Uttar Pradesh and Malwa region of Madhya Pradesh
is dialogue-oriented rather than movement-oriented
considered as the most ancient folk theatre form of India

National Waterway-2 is on which of the following water system?

((a))
West Coast Canal
((b))
River Brahmaputra
((c))
Ganga-Bhagirathi-Hoogli river
((d))
Sundarbans waterways

Show Answer

Answer: ((b))

River Brahmaputra

National Waterway 2 (NW-2):

It is a section of the Brahmaputra River having a length of 891 km.
It is between the Bangladesh border near Dhubri and Sadiya in Assam.

Who decides Bank Rate in India?

((a))
Finance Minister of India
((b))
President of India
((c))
Reserve Bank of India
((d))
State Bank of India

Show Answer

Answer: ((c))

Reserve Bank of India

Bank Rate:

It is determined by “Reserve Bank of India (RBI)” in India
It is the rate at which RBI makes loans to commercial banks with no collateral
Revised by RBI periodically

Which of the following is an abiotic component of environment?

((a))
Green plants
((b))
Non-green plants
((c))
Decomposers
((d))
Gravity

Show Answer

Answer: ((d))

Gravity

Biotic Component:

any living component that affects another organism, or shapes the ecosystem
includes both animals that consume other organisms within their ecosystem, and the organism that is being consumed
For eg: Green plants, Non-green plants, Decomposers

<br>

Abiotic Component:

non-living chemical and physical parts of the environment that affect living organisms and the functioning of ecosystems. For eg: Gravity

What is the current minimum saving deposit rate in India?

((a))
6.00 %per annum
((b))
6.25% per annum
((c))
4.00% per annum
((d))
4.5% per annum

Show Answer

Answer: ((c))

4.00% per annum

Savings Deposit Rate is the interest rate earned by an account holder for the amount maintained in their savings account
current minimum saving deposit rate in India is 4.00% per annum (set by RBI)

Siraj-Ud-Daulah renamed which city as Alinagar?

((a))
Calcutta
((b))
Agra
((c))
Ferozpur
((d))
Fatehpur

Show Answer

Answer: ((a))

Calcutta

When British were defeated and thrown out of their settlement, Siraj-Ud-Daulah renamed Calcutta as Alinagar.
His grandfather, Ali Vardi Khan was already buried there, he decided to rename Calcutta in his grandfather’s honour denoting his great respect for his grandfather

Banaras is located on the banks of which river?

((a))
Ganga
((b))
Yamuna
((c))
Saraswati
((d))
Narmada

Show Answer

Answer: ((a))

Ganga

River	Cities Located Nearby
Ganga	Haridwar, Banaras, Patna, Allahabad, Kolkata etc
Yamuna	Delhi, Allahabad, Agra, Mathura etc
Narmada	Jabalpur

Who is the author of the book 'Rekha – The Untold Story'?

((a))
Anand Neelakanthan
((b))
Yasser Usman
((c))
Rabi Thapa
((d))
Rishi Kapoor

Show Answer

Answer: ((b))

Yasser Usman

Rekha – The Untold Story:

Author - Yasser Usman
exposes the dark side of Bollywood

What is the height of the goal post in the game of Netball?

((a))
10 ft
((b))
6 ft
((c))
12 ft
((d))
15 ft

Show Answer

Answer: ((a))

10 ft

In the game of Netball;

The goal rings are 380 millimeters (15 in) in diameter
The goal posts of height 10.0 ft (3.05-metre ) are located within the shooting circle that have no backboards (like basketball)
A 4.9-metre (16 ft)-radius semi-circular "shooting circle" is an area at each end of the court

The protocol used for sending an email is _____.

((a))
HTTP
((b))
FTP
((c))
POP-3
((d))
SMTP

Show Answer

Answer: ((d))

SMTP

PROTOCOLS	USED FOR
HTTP	to transfer data over the web
FTP	for the transfer of computer files between a client and server on a computer network
POP-3	for retrieving emails
SMTP	for sending an email

Fundamental duties are given in which part of Indian constitution?

((a))
Part I
((b))
Part II
((c))
Part III
((d))
Part IV A

Show Answer

Answer: ((d))

Part IV A

Part IV A	It states about the fundamental duties of the Indian citizens

What is Educated unemployment?

((a))
Kind of unemployment generally found in urban areas
((b))
Kind of unemployment when people are not able to find jobs during some months of the year
((c))
Kind of unemployment generally found in rural areas
((d))
None of these

Show Answer

Answer: ((a))

Kind of unemployment generally found in urban areas

Educated unemployment:

Is a kind of unemployment where the educated people even after having the degree doesn’t get employed
One of the major problems for a developing country like India generally found in urban areas

Washing soda is chemically called as ________.

((a))
Sodium carbonate
((b))
Sodium chloride
((c))
Sodium hydroxide
((d))
Potassium nitrate

Show Answer

Answer: ((a))

Sodium carbonate

Washing Soda:

Chemically called “Sodium carbonate”
Chemical formula: Na₂CO₃
Well known domestically for its everyday use as a water softener

How many schedules are there in Indian constitution?

((a))
18
((b))
20
((c))
12
((d))
14

Show Answer

Answer: ((c))

At present, the Indian Constitution has:

448 articles
25 parts
12 schedules
5 appendices

Martial law is _____.

((a))
Sudden overthrow of a government illegally
((b))
A system of rules that takes effect when a military authority takes control of the normal administration of justice
((c))
The territory under the immediate political control of another state
((d))
None of these

Show Answer

Answer: ((b))

A system of rules that takes effect when a military authority takes control of the normal administration of justice

Martial law:

is the imposition of direct military control of normal civilian functions of govt.
especially in response to a temporary emergency such as invasion or major disaster, or in an occupied territory
can be used by governments to enforce their rule over the public

Which of the following is not an ocean current?

((a))
Kuroshio
((b))
Brazillian
((c))
Gulf-Stream
((d))
Jet-Stream

Show Answer

Answer: ((d))

Jet-Stream

Jet-Streams are fast flowing, narrow, meandering air currents in the atmospheres of some planets (including Earth)

Kuroshio	Ocean Current
Brazillian	Ocean Current
Gulf-Stream	Ocean Current
Jet-Stream	Air Current

During Lunar eclipse, which of the following is at the center?

((a))
Earth
((b))
Moon
((c))
Sun
((d))
Any other planet

Show Answer

Answer: ((a))

Earth

Lunar Eclipse	Earth is between sun and moon	Blocks sunlight going from Sun to Moon
Solar Eclipse	Moon is between Sun and Earth	Blocks sunlight going from Sun to Earth

Sounds of frequencies below 20 Hz are called _____.

((a))
Infrasonic sound
((b))
Ultrasonic sound
((c))
Intrasonic sound
((d))
Reflected sound

Show Answer

Answer: ((a))

Infrasonic sound

Humans can hear sound waves from a frequency of 20 Hz to 20 kHz
Sound waves with frequency low than 20 Hz (below audible sound) is called
Sound waves with frequency more than 20 kHz (above audible sound range ) is called

“Ultrasonic Sound”

________ is an institutional mechanism to accommodate two sets of polities-one at the regional level and the other at the national level.

((a))
Feudalism
((b))
Democracy
((c))
Federalism
((d))
Aristocracy

Show Answer

Answer: ((c))

Federalism

Federalism is a style of national governance which combines a general government (the central or 'federal' government) with regional governments (state or territorial type of govt)

Which city is not among the three Indian cities which will receive a grant of 3.5 million euros from the European Union and France to curb emissions?

((a))
Nagpur
((b))
Kochi
((c))
Ahmedabad
((d))
Haridwar

Show Answer

Answer: ((d))

Haridwar

Three Indian cities namely: Nagpur, Kochi & Ahmedabad will receive a grant of 3.5 million euros from European Union and France to curb emissions under their “Mobilise Your City (MYC) initiative”
Initiative’s aim – to help 100 cities across the world to reduce Green House Gas (GHG) emissions by promoting sustainable urban transport and sustainability in urban spaces
India - first country to get benefits from the MYC initiative

Who invented the safety elevator?

((a))
Ray Tomlinson
((b))
Elisha Otis
((c))
Dr. Robert Jarvik
((d))
Joseph Henry

Show Answer

Answer: ((b))

Elisha Otis

Inventor	Invented	Nationality
Ray Tomlinson	Email	American
Elisha Otis	Safety elevator	American
Dr. Robert Jarvik	Artificial Heart	American
Joseph Henry	Electric doorbell	American

When did Sri Lanka gain its independence?

((a))
4 February 1948
((b))
16 March 1962
((c))
26 March 1972
((d))
15 February 1938

Show Answer

Answer: ((a))

4 February 1948

Ceylon was granted independence as the Dominion of Ceylon on February 4, 1948

Match the following

Column-A	Column-B
1. Input device	a. Safari
2. Output device	b. Scanner
3. Browser	c. Plotter

((a))
1-c, 2-a, 3-b
((b))
1-b, 2-c, 3-a
((c))
1-a, 2-c, 3-b
((d))
1-c, 2-b, 3-a

Show Answer

Answer: ((b))

1-b, 2-c, 3-a

Safari	Browser	developed by company “Apple” to surf the Internet
Scanner	Input device	is a device that optically scans images, printed text, handwriting or an object and converts it to a digital image
Plotter	Output device	a computer printer for printing vector graphics

The buccal cavity is a component of which organ system?

((a))
Digestive system
((b))
Respiratory system
((c))
Circulatory system
((d))
Reproductive system

Show Answer

Answer: ((a))

Digestive system

Buccal cavity:

a portion of the oral cavity bounded by the lips, cheeks, and gums
is a component of the “digestive system” as the intake of food for digestion takes place through this

Which of the following is a water-borne disease?

((a))
Malaria
((b))
Typhoid
((c))
Measles
((d))
Chickenpox

Show Answer

Answer: ((b))

Typhoid

Malaria	Transmitted through the bite of an infected Anopheles mosquito
Typhoid	Water-borne disease
Measles	Spreads to others through coughing and sneezing
Chickenpox	Transmits by directly touching the blisters, saliva or mucus of an infected person

Select the correct pair/pairs:

Pollutant	Industry
I. Bleaching liquor	Paper and pulp industry
II. Cellulose fibers	Pharmaceuticals industry
III. Drugs and antibiotics	Mining industry

((a))
Only I
((b))
Only II
((c))
Only III
((d))
Both I and II

Show Answer

Answer: ((a))

Only I

Pollutant	Industry
I. Bleaching liquor	Paper and pulp industry
II. Cellulose fibres	Textile industry
III. Drugs and antibiotics	Pharmaceuticals industry

In which form of government the rulers are elected by the people?

((a))
Autocratic
((b))
Democratic
((c))
Martial law
((d))
Aristocratic

Show Answer

Answer: ((b))

Democratic

Autocratic	- is a system of government in which supreme power (social and political) is concentrated in the hands of one person - Not elected by the people
Democratic	- In this form, rulers are elected by the people through elections
Martial law	- is the imposition of direct military control of normal civilian functions of government, especially in response to a temporary emergency (such as invasion or major disaster)
Aristocratic	- is a form of government that places strength in the hands of a small, privileged ruling class - hereditary succession is its primary philosophy and there is no role of people in selecting the ruler

How are 'Cations' formed?

((a))
Addition of electron
((b))
Removal of electron
((c))
Addition of proton
((d))
Removal of proton

Show Answer

Answer: ((b))

Removal of electron

Cation	- Positively charged ion - attracted to the cathode in electrolysis	Formed by removal of an electron
Anion	- Negatively charged ion - attracted to the anode in electrolysis	Formed by addition of an electron

Which of the following is/are plant disease:

I. Citrus Canker

II. Hepatitis B

III. Cholera

((a))
Only I
((b))
Only II
((c))
Only I and III
((d))
Both I and II

Show Answer

Answer: ((a))

Only I

Citrus canker is a disease affecting Citrus species caused by the bacterium Xanthomonas axonopodis. Infection causes spots on the leaves, stems, and fruit of citrus trees, including lime, oranges, and grapefruit

Citrus Canker	Plant Disease	Caused by Bacteria
Hepatitis B	Animal Disease (liver)	Caused by Virus
Cholera	Animal Disease	Caused by Bacteria (Vibrio Cholerae)

Who is also known by the name of 'Tiger of Mysore'?

((a))
Haidar Ali
((b))
Tipu Sultan
((c))
Yaduraya Wodeyar
((d))
Krishna Devaraya

Show Answer

Answer: ((b))

Tipu Sultan

Tipu Sultan was also known as “tiger of Mysore” as he was well known for his courage, self-respect and patriotism that made him to be counted among the line of great freedom fighters who rose their voice, revolt or opposition either armed or unarmed against the British.

Atomic Number is denoted by which alphabet?

((a))
A
((b))
N
((c))
Z
((d))
E

Show Answer

Answer: ((c))

Atomic Number:

Is the number of protons in the nucleus of an atom
determines its place in the periodic table
denoted by the alphabet “Z”

Which type of mirror is used by dentists to see large images of teeth?

((a))
Concave mirror
((b))
Convex mirror
((c))
Plane mirror
((d))
Cylindrical mirror

Show Answer

Answer: ((a))

Concave mirror

The correct answer is Concave mirror.

Key Points

A concave mirror is used by dentists to see large images of patients' teeth.
A concave mirror magnifies the dentist's view of the mouth while also refracting some light.
A concave mirror forms a virtual or real image depending on the position of the object.
It is also used by dentists and ENT doctors.
The concave mirror is used in the solar cooker.
To create powerful parallel beams of light, concave mirrors are often used in torches, searchlights, and vehicle headlights.

Additional Information

A convex mirror is used as rearviewar mirror in vehicles.
The spherical mirror is the most frequent type of curved mirror.
The reflecting surface of spherical mirrors can be considered to form a part of the surface of a sphere.

Mirror	Images
Concave mirror	- real inverted image whose size depends on screen placement - if the real image is farther than the object is from the mirror, then the image is larger
Convex mirror	upright virtual image but will appear smaller
Plane mirror	upright virtual image of the object with the same size

So, the dentists use “Concave Mirror” to see larger images of teeth.

Who defeated Humayun in the battle of Chausa?

((a))
Muhammad Adil Shah
((b))
Firoz Shah Suri
((c))
Sikandar Shah Suri
((d))
Sher Shah Suri

Show Answer

Answer: ((d))

Sher Shah Suri

Battle of Chausa:

between the Mughal emperor, Humayun, and the Afghan, Sher Shah Suri
fought on 26 June 1539 at Chausa (near Buxar in modern-day Bihar, India)
Sher Shah was victorious and crowned himself “Farīd al-Dīn Shēr Shah”

Cellulose is an example of which kind of nutrient?

((a))
Fat
((b))
Carbohydrate
((c))
Protein
((d))
Vitamin

Show Answer

Answer: ((b))

Carbohydrate

Cellulose:

is a type of polysaccharide plant fiber
Polysaccharide fiber is a carbohydrate composed of linked sugar molecules
Cannot be consumed by humans as they lack the enzyme necessary to break cellulose

When resistors are connected in series, then net resistance _____.

((a))
Increases
((b))
Decreases
((c))
Remains same
((d))
None of these

Show Answer

Answer: ((a))

Increases

The correct answer is Increases.

Key Points

When resistors are connected in series, the total resistance is calculated by summing up the individual resistances.
Each resistor in series adds to the total resistance experienced by the current flowing through the circuit.
When resistors are connected in series, the net resistance increases.

What is measured by Ammeter?

((a))
Voltage
((b))
Electric Current
((c))
Resistance
((d))
Conductance

Show Answer

Answer: ((b))

Electric Current

Voltage	Measured by Voltmeter
Electric Current	Measured by Ammeter
Resistance	Measured by (analog /digital) multi-meter or ohmmeter
Conductance	Measured by an electrical conductivity meter

'Amar Shonar Bangla' the national anthem of Bangladesh was composed by whom?

((a))
Rabindranath Tagore
((b))
Sarojini Naidu
((c))
Surendranath Banerjee
((d))
Anand Mohan Bose

Show Answer

Answer: ((a))

Rabindranath Tagore

Amar Shonar Bangla the national anthem of “Bangladesh” is written by Rabindranath Tagore in1905.

'Protection of life and personal liberty' is mentioned in which article of Indian constitution?

((a))
Article 15
((b))
Article 30
((c))
Article 21
((d))
Article 350

Show Answer

Answer: ((c))

Article 21

Article 15	Prohibition of discrimination on grounds of religion, race, caste, sex or place of birth.
Article 30	The right of minorities to establish and administer educational institutions
Article 21	Protection of life and personal liberty
Article 350	Right to use any language in representations for redress of grievances

100

Which among the following mountain range is located in Russia?

((a))
Rocky
((b))
Andes
((c))
Himalayas
((d))
Ural

Show Answer

Answer: ((d))

Ural

Mountain Range	Located In
Rocky	North America
Andes	South America
Himalayas	Nepal
Ural	Russia

Quantitative Aptitude (50 questions)

101

If interest being compound annually then what sum will amount to Rs. 2508.8 in 2 years at the rate of 12% per annum at compound interest?

((a))
2000
((b))
2200
((c))
1800
((d))
2500

Show Answer

Answer: ((a))

2000

Let the sum be P.

Amount after t years, compounded annually.

A = P(1 + r/100)^t

2508.8 = P(1 + 12/100)²

P × (56/50)² = 2508.8

${\rm{P;}} = \frac{{\left( {2508.8{\rm{;}} \times {\rm{;}}50{\rm{;}} \times {\rm{;}}50} \right)}}{{56{\rm{;}} \times {\rm{;}}56}}; = ;Rs.2000$

102

What will be the remainder when 141 × 142 × 143 is divided by 6?

((a))
0
((b))
2
((c))
4
((d))
5

Show Answer

Answer: ((a))

The consecutive three numbers are always divisible by 6.

⇒ remainder = 0

alternative method:,

$\frac{{141{\rm{;}} \times {\rm{;}}142{\rm{;}} \times {\rm{;}}143}}{6}{\rm{;}} = {\rm{;}}47{\rm{;}} \times {\rm{;}}71{\rm{;}} \times {\rm{;}}143$

so remainder = 0

103

Side of the square base of a pyramid is 8 cm. The pyramid is cut in two parts by a plane parallel to its base such that heights of upper and lower parts are in ratio 1 : 3 respectively. What is the ratio of volume of lower and upper parts respectively?

((a))
27 : 1
((b))
63 : 1
((c))
64 : 1
((d))
26 : 1

Show Answer

Answer: ((b))

63 : 1

Let h be the height of the pyramid, measured from the center of the base to the apex of the pyramid

volume of a square based pyramid = a²(h/3) = 8²(h/3) = 64h/3

where a is the length of a side of the base

Let s be the slant height of the pyramid, then

s = $\sqrt {{h^2} + {{\left( {a/2} \right)}^2}}$ = $\sqrt {{h^2} + {{\left( {8/2} \right)}^2}}$ = $\sqrt {{h^2} + {{\left( 4 \right)}^2}}$ = $\sqrt {{h^2} + 16}$

Now the pyramid is cut in two parts by a plane parallel to its base such that height of upper and lower parts are in ratio 1 : 3

Slant height will also be divided in the ratio 1 : 3

So, let the slant height of the upper pyramid be s_1, height will be h/4 and base be a₁

s₁ = $\frac{{\sqrt {{h^2} + 16} }}{4}$

So, base of the upper pyramid will be,

${\left( {\frac{{\sqrt {{h^2} + ;;16} }}{4}} \right)^2}$ = (h/4)² + (a₁/2)²

On solving,

a₁ = 2

Then, Volume of upper pyramid = $\frac{{4{\rm{;x;}}\left( {{\rm{h}}/4} \right)}}{3}$ = h/3

Volume of frustum = volume of actual pyramid - volume of upper pyramid formed by cutting the actual pyramid

volume of frustum = 64h/3 - h/3 = 63h/3

So, the required ratio will be = 63 : 1

104

Population of a town increases by 12% every year. If the population of town will be 188160 after 2 years, then what is its present population?

((a))
150000
((b))
160000
((c))
155000
((d))
165000

Show Answer

Answer: ((a))

150000

Let the present population be x.

$\Rightarrow x{\rm{;}} \times {\rm{;}}\frac{{112}}{{100}}{\rm{;}} \times {\rm{;}}\frac{{112}}{{100}}{\rm{;}} = {\rm{;}}188160$

x = 150000

∴ Present population of the town is 150000

105

The distance between the centres of two circles of radius 9 cm and 6 cm is 17 cm. What is the length (in cm) of the transverse common tangent?

((a))
9
((b))
11
((c))
7
((d))
8

Show Answer

Answer: ((d))

Length of transverse common tangent = $\sqrt {{d^2} - {{(R; + ;r)}^2}} ; = ;\sqrt {{{17}^2} - {{(9; + ;6)}^2}} ; = ;\sqrt {64} ; = ;8;cm$

Direction: The given pie chart shows the stream wise distribution (in degrees) of the candidates who applied for an entrance exam. The total number of candidates who applied was 720000 and out of which 5400 have qualified the exam.

106

What is the average of the total candidates from Arts, Commerce and Non-medical?

((a))
216000
((b))
296000
((c))
260000
((d))
228000

Show Answer

Answer: ((d))

228000

Total candidates from Arts, Commerce, and Non-medical = $\frac{{342}}{{360}} \times 720000 = 684000$

Average = $\frac{{684000}}{3}= 228000$

107

If from medical and non-medical both, 1.3% candidates have qualified the exam, then how many candidates have qualified the exam from commerce and arts in total?

((a))
3452
((b))
3168
((c))
2088
((d))
3528

Show Answer

Answer: ((d))

3528

Total candidates from medical and non-medical = $\frac{{72}}{{360}} \times 720000 =144000$

Candidates qualified from medical and non-medical = 1.3% of 144000 = 1872

Candidates qualified from Commerce and Arts = 5400 – 1872 = 3528

108

There is a rectangular garden of 480 metre × 160 metre. A path of width 3 metre is build outside the garden. What is the area (in metre²) of the path?

((a))
3984
((b))
1892
((c))
2796
((d))
3876

Show Answer

Answer: ((d))

3876

Area of the path = (area of rectangle PQRS) – (area of rectangle ABCD)

= 486 × 166 – 480 × 160 = 80676 – 76800 = 3876 m²

109

A and B undertook a work for Rs 2200. A alone can do the work in 10 days and B alone can do the work in 12 days. If they work together, then what will be the difference (in Rs.) in the amount they receive?

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

Show Answer

Answer: ((c))

200

Calculation:

LCM of 10 and 12 = 60

⇒ Total units of work to be done = 60

A can do 6 units of work in 1 day.

B can do 5 units of work in 1 day.

Their working efficiency is in the ratio = 6: 5

Their earning will also be in the same ratio = 2200 x 6/11 : 2200 x 5/11

= 1200: 1000

Difference = 200

110

An article is sold at a profit of 50%. If the cost price is doubled and the selling price is halved, then what will be the new profit or loss percentage?

((a))
62.5 Loss
((b))
62.5 Profit
((c))
37.5 Loss
((d))
37.5 Profit

Show Answer

Answer: ((a))

62.5 Loss

Let CP = Rs. 100

⇒ SP = Rs. 150

According to question,

If CP = Rs. 200

And SP = Rs. 75

Loss = 200 – 75 = Rs. 125

∴ Loss% = $\frac{{125}}{{200}}{\rm{;}} \times {\rm{;}}100{\rm{;}} = {\rm{;}}62.5{\rm{% }}$

111

What is the respective ratio of the Arts candidates and Commerce candidates?

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

Show Answer

Answer: ((c))

5 : 3

Ratio of the arts and commerce candidate = $\frac{{\frac{{180}}{{360}}; \times ;720000}}{{\frac{{108}}{{360}}; \times ;720000}} = \frac{{180}}{{108}} = \frac{5}{3}$

112

Average weight of a class of boys is 24 kg. When a boy having weight 36 kg leaves the class and a new boy having weight 30 kg joins the class, then the average weight become 23.5 kg. How many boys are there in the class?

((a))
12
((b))
8
((c))
6
((d))
16

Show Answer

Answer: ((a))

Let the number of boys in the class be n.

Total sum of the weight = 24n

According to question,

$\frac{{24n - 36; + ;30}}{n}; = ;23.5$

24n – 6 = 23.5n

0.5n = 6

n = 12

∴ Number of boys in the class are 12.

Direction: The line chart given below shows the revenue of a company (in lac rupees) from year 2009 to 2016.

113

If from year 2007 to year 2009 the revenue has decreased by 20% each year, then what was the revenue (in lac Rs.) of the company in year 2007?

((a))
26.56
((b))
21.56
((c))
29.52
((d))
31.56

Show Answer

Answer: ((a))

26.56

Revenue in 2009 = 17 lac

Let revenue in 2007 was x.

According to question,

$x; \times ;\frac{{80}}{{100}}; \times ;\frac{{80}}{{100}}; = ;17$

x = 26.56 lac

∴ Revenue in 2007 was 26.56 lac.

114

In how many years from 2010 to 2016 the increase in the revenue is more than 20% of the previous year value?

((a))
3
((b))
4
((c))
5
((d))
6

Show Answer

Answer: ((b))

% increase in revenue in 2010 = $\frac{{35 - 17}}{{17}}; \times ;100; = ;\frac{{18}}{{17}}; \times ;100; = ;105.8%$

% increase in revenue in 2011 = $\frac{{55 - 35}}{{35}}; \times ;100; = ;57.14%$

% increase in revenue in 2012 = $\frac{{58 - 55}}{{55}}; \times ;100; = ;5.45%$

% increase in revenue in 2013 = $\frac{{72 - 58}}{{58}}; \times ;100; = ;24.13%$

% increase in revenue in 2014 is less than 20%

% increase in revenue in 2015 = $\frac{{102 - 79}}{{79}}; \times ;100$ = 29.11%

% increase in revenue in 2016 is less than 20%.

∴ increase in the revenue is more than 20% of the previous year valueis occurring 4 times.

115

The average revenue of the company from 2013 to 2016 is how much percent more than the average revenue of the company from 2009 to 2012?

((a))
181.2
((b))
21.2
((c))
121.2
((d))
221.2

Show Answer

Answer: ((c))

121.2

Average revenue of company from 2013 to 2016 = $\frac{{72; + ;79; + ;102; + ;112}}{4}; = ;91.25;lac$

Average revenue of company from 2009 to 2012 = $\frac{{17; + ;35; + ;55; + ;58}}{4}; = ;41.25;lac$

% more than average revenue from 2009 to 2012 = $\frac{{91.25 - 41.25}}{{41.25}}; \times ;100; = ;\frac{{50}}{{41.25}}; \times ;100; = ;121.2%$

116

Which of the following successive discount is the best for the customer?

I. 25%, 25%

II. 10%, 40%

III. 20%, 30%

((a))
Only I
((b))
Only II
((c))
Only III
((d))
All are same

Show Answer

Answer: ((b))

Only II

Successive discount of x% and y% = $x; + ;y - \frac{{xy}}{{100}}$

Successive discount of 25% and 25% = $25; + ;25 - \frac{{25{\rm{;}} \times {\rm{;}}25}}{{100}}{\rm{;}} = {\rm{;}}50 - 6.25{\rm{;}} = {\rm{;}}43.75{\rm{% }}$

Successive discount of 10% and 40% = $10; + ;40 - \frac{{10{\rm{;}} \times {\rm{;}}40}}{{100}}; = ;50 - 4; = ;46%$

Successive discount of 20% and 30% = $20; + ;30 - \frac{{20{\rm{;}} \times {\rm{;}}30}}{{100}}; = ;50 - 6; = ;44%$

Hence, maximum discount = 46%

∴ Successive discount of 10% and 40% is the best for the customer.

117

The revenue in year 2013 is what percent of the revenue in year 2011?

((a))
30.9
((b))
137.2
((c))
130.9
((d))
45.9

Show Answer

Answer: ((c))

130.9

Revenue in 2013 = 72 lac

Revenue in 2011 = 55 lac

Let, Revenue in 2013 = x% of (Revenue in 2011)

⇒ 72 = x% of 55

${\rm{x;}} = {\rm{;}}72{\rm{;}} \times {\rm{;}}\frac{{100}}{{55}}{\rm{;}} = {\rm{;}}130.9{\rm{% }}$

118

24 women can complete a work in 45 days. Then in how many days the work would be completed by 18 women?

((a))
60
((b))
70
((c))
85
((d))
75

Show Answer

Answer: ((a))

Let D days be required to complete the work.

M₁ × D₁ = M₂ × D₂

24 × 45 = 18 × D

D = (24 × 45)/18 = 60

∴ Work is completed in 60 days.

119

If 20% of marked price is equal to 30% of cost price. If no discount is given, then what will be the profit percentage?

((a))
50
((b))
40
((c))
48
((d))
45

Show Answer

Answer: ((a))

20% of MP = 30% of CP

⇒ MP/CP = 3/2

Let, ratio = k

MP = 3k

CP = 2k

Profit = k

If no discount is given,

Profit% = $\frac{k}{{2k}}{\rm{;}} \times {\rm{;}}100{\rm{;}} = {\rm{;}}50{\rm{% }}$

120

If (3 + 2√5)² = 29 + K√5, then what is the value of K?

((a))
12
((b))
6
((c))
29
((d))
39

Show Answer

Answer: ((a))

Method I: (3 + 2√5)²

= (3² + (2√5)² + 2 × 3 × 2√5)

= 9 + 20 + 12√5 = 29 + 12√5

On comparing, 29 + 12√5 = 29 + K√5

we get,

K = 12

Alternate Method

29 + 12√5 = 29 + K√5

⇒ K√5 = 29 - 29 + 12√5

⇒ K√5 = 12√5

∴ K = 12

121

If ${x^2}; + ;\frac{1}{{25{x^2}}}; = ;\frac{8}{5}$ and x > 0, then what is the value of ${x^3}; + ;\frac{1}{{125{x^3}}}?$

((a))
7√2
((b))
5√2
((c))
(7√2)/5
((d))
7√6

Show Answer

Answer: ((c))

(7√2)/5

$\begin{array}{l} {x^2}; + ;\frac{1}{{25{x^2}}}; = ;\frac{8}{5}\ 5{x^2}; + ;\frac{1}{{5{x^2}}}; = ;8\ ; = ;{(\sqrt 5 x)^2}; + ;\frac{1}{{{{(\sqrt 5 x)}^2}}}; + ;2; = ;8; + ;2\ {\left( {\sqrt 5 x; + ;\frac{1}{{\sqrt 5 x}}} \right)^2}; = ;10\ \left( {\sqrt 5 x; + ;\frac{1}{{\sqrt 5 x}}} \right); = ;\sqrt {10} \ 5\sqrt 5 ({x^3}; + ;\frac{1}{{125{x^3}}}); = ;5\sqrt 5 {x^3}; + ;\frac{1}{{5\sqrt 5 {x^3}}}; \end{array}$

If $x; + ;\frac{1}{x}; = ;n$

${x^3}; + ;\frac{1}{{{x^{3;}}}}; = ;({n^3} - 3n)$

$\therefore 5\sqrt 5 ({x^3}; + ;\frac{1}{{125{x^3}}}); = ;5\sqrt 5 {x^3}; + ;\frac{1}{{5\sqrt 5 {x^3}}}; = ;[{\left( {\sqrt {10} } \right)^3} - 3; \times ;\sqrt {10} ); = ;10\sqrt {10} - 3\sqrt {10} ; = ;7\sqrt {10}$

$\Rightarrow {x^3}; + ;\frac{1}{{125{x^3}}}; = ;\frac{{7\sqrt {10} }}{{5\sqrt 5 }}; = ;\frac{{7\sqrt 2 }}{5}$

122

If ab(a + b) = 1, then what is the value of $\frac{1}{{{a^3}{b^3}}} - {a^3} - {b^3}?$

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

Show Answer

Answer: ((c))

(a + b) = 1/ab

$\frac{1}{{{a^3}{b^3}}} - {a^3} - {b^3}; = ;{(a; + ;b)^3} - ;{a^3} - {b^3}{a^3}; = ;{a^3}; + ;{b^3}; + ;3ab\left( {a; + ;b} \right) - {a^3} - ;{b^3};$

= 3ab(a + b) = 3

123

The length of the direct common tangent of two circles of radius 8 cm and 3 cm is 12 cm. What is the distance (in cm) between the centres of the circles?

((a))
15
((b))
13
((c))
14
((d))
17

Show Answer

Answer: ((b))

Length of direct commom tangent = $\sqrt {{d^2} - {{(R - r)}^2}} ; = ;\sqrt {{d^2} - {{(8 - 3)}^2}} ; = ;12$

⇒ d² – 25 = 144

d² = 169

d = 13 cm

∴ Distance between the centres of the circle is 13 cm

124

Which of the following relation (s) is/are true?

I. 3³³ > 33³

II. 33³ > 333

III. 3³³ > 333

((a))
Only I and II
((b))
Only II and I
((c))
Only II
((d))
All I, II and III

Show Answer

Answer: ((d))

All I, II and III

Among given numbers 333, 333, 333.

Obviously, 333 is the largest and 333 is the smallest among all.

333 = 35937 lies in the middle.

The descending order of number is 333 > 333 > 333

Hence, All three relations are always true.

125

What is the simplified value of

$3; + ;\sqrt 3 ; + ;\frac{1}{{3 - \sqrt 3 }}; + ;\frac{1}{{3; + ;\sqrt 3 }}?$

((a))
2 + √3
((b))
2 - √3
((c))
4 - √3
((d))
4 + √3

Show Answer

Answer: ((d))

4 + √3

On rationalising,

$\begin{array}{l} \frac{1}{{3 - \sqrt 3 }}; = ;\frac{{3; + ;\sqrt 3 }}{6}\ \frac{1}{{3; + ;\sqrt 3 }}; = ;\frac{{3 - ;\sqrt 3 }}{6} \end{array}$

$3; + ;\sqrt 3 ; + ;\frac{1}{{3 - \sqrt 3 }}; + ;\frac{1}{{3; + ;\sqrt 3 }}; = ;3; + ;\sqrt 3 ; + ;\frac{{3; + ;\sqrt 3 }}{6}; + ;\frac{{3 - \sqrt 3 }}{6}; = ;3; + ;\sqrt 3 ; + ;1; = ;4; + ;\sqrt 3$

126

A person goes to his office by scooter at the speed of 50 km/hr and reaches 10 minutes earlier. If he goes at the speed 40 km/hr, then he reaches 20 minutes late. What will be the speed (in km/hr) of the scooter to reach on time?

((a))
$47\frac{4}{{13}}$
((b))
$46\frac{2}{{13}}$
((c))
$48\frac{2}{{13}}$
((d))
$47\frac{2}{{13}}$

Show Answer

Answer: ((b))

$46\frac{2}{{13}}$

Let the actual time taken to reach the office = t

And, speed of scooter to reach the office on time be v.

Distance = speed

time

According to question,

50(t - 10) = 40(t + 20)

50t - 500 = 40t + 800

10t = 1300

t = 130 min

Distance travelled = $50{\rm{;}} \times {\rm{;}}\frac{{130 - 10}}{{60}}{\rm{;}} = {\rm{;}}100{\rm{;km}}$

${\rm{v;}} = \frac{{100}}{{\frac{{130}}{{60}}}}; = ;\frac{{600}}{{13}}; = ;46\frac{2}{{13}};km/hr$

∴ speed of scooter to reach the office on time is $46\frac{2}{{13}};km/hr$

127

In a mixture of 126 litre the ratio of water and milk is 2 : 5 respectively. How much water (in litre) must be added to make the ratio of water and milk as 2 : 3 respectively?

((a))
16
((b))
24
((c))
18
((d))
20

Show Answer

Answer: ((b))

Initial ratio of water and milk = 2 : 5

Let, ratio = k

Given that,

(2k + 5k) = 126 L

k = 18

⇒ Qunatity of water = 36 L

And, quantity of milk = 90 L

Since, we are adding water to the mixture, Quantity of milk in the mixture should not change.

Ratio of water and milk in the final mixture = 2 : 3

Let ratio = z

Given that,

3z = 90

z = 30

⇒ 2z = 60 = Quantity of water in the final mixture.

∴ Quantity of water added = 60 – 36 = 24 L

128

50 litres of mixture of alcohol and water is in the ratio of 1 : 4 respectively. If 10 litres of mixture is taken off and replaced with 10 litres of water. Then what is the new ratio of alcohol and water respectively?

((a))
1 : 4
((b))
2 : 11
((c))
1 : 5
((d))
4 : 21

Show Answer

Answer: ((d))

4 : 21

Given:

50 litres of mixture of alcohol and water is in the ratio of 1 : 4 respectively.

10 litres of mixture is taken off and replaced with 10 litres of water.

Calculation:

Ratio of alcohol and water = 1 : 4

Let, ratio = k

k + 4k = 50

⇒ k = 10

Quantity of alcohol and water = 10 L and 40 L

10 L of mixture is taken off, that also contain alcohol and water in the ratio 1 : 4

⇒ 2 L alcohol and 8 L water is taken off

On adding 10 L water to the mixture,

Quantity of alcohol = 10 - 2 = 8 L

Quantity of water = 40 - 8 + 10 = 42 L

Ratio = 8 : 42 = 4 : 21

129

The perimeter of base of cylinder is 20π cm. If the height of cylinder is 12 cm, then what will be its curved surface area (in cm²)?

((a))
220π
((b))
180π
((c))
250π
((d))
240π

Show Answer

Answer: ((d))

240π

Perimeter of base = 2πr = 20π

⇒ r = 10 cm

∴ Curved surface area = 2πrh = 2π × 10 × 12 = 240π

130

If ${x^{\frac{1}{6}}}; = ;{y^{\frac{2}{3}}}$ , then relation between x and y is:

((a))
x = y²
((b))
x = y⁴
((c))
x⁴ = 4
((d))
x³ = y

Show Answer

Answer: ((b))

x = y⁴

${x^{\frac{1}{6}}}; = ;{y^{\frac{2}{3}}}$

Taking power of 6 on both side, we get,

x = (y^2/3)⁶ = y⁴

⇒ x = y⁴

131

What is the simple interest (in Rs) on a principal sum of Rs 1440 for 3 years at the rate of 8% per annum?

((a))
345.6
((b))
230.4
((c))
367.8
((d))
312.2

Show Answer

Answer: ((a))

345.6

${\rm{SI;}} = \frac{{P{\rm{;}} \times {\rm{;R;}} \times {\rm{;T}}}}{{100}}; = ;\frac{{1440{\rm{;}} \times {\rm{;}}8{\rm{;}} \times {\rm{;}}3}}{{100}}{\rm{;}} = {\rm{;Rs}}.{\rm{;}}345.6$

132

PQR is a triangle in which PR = QR. Side PR is extended to S, such that QR = RS. If ∠QPR = 40°, then what is the value (in degrees) of ∠QSR?

((a))
45
((b))
50
((c))
55
((d))
41

Show Answer

Answer: ((b))

In ∆PQR,

PR = QR

⇒ ∠PQR = 40°

⇒ ∠QRS = ∠RPQ + ∠RQP = 40° + 40° = 80°

In ∆QRS,

QR = RS

⇒ ∠RQS = ∠QSR = x (say)

x + x + 80° = 180°

x = 50°

∴ ∠QSR = 50°

133

What percentage of the total candidates who applied for the exams have qualified it?

((a))
0.85
((b))
0.75
((c))
0.6
((d))
0.8

Show Answer

Answer: ((b))

0.75

The total number of candidates who applied = 720000

Number of candidates who have qualified the exam = 5400

% of candidates qualified the exam = $\frac{{5400}}{{720000}} \times 100 = 0.75%$

134

What is the value of $\frac{{\cot x}}{{1 - \tan x}} + \frac{{\tan x}}{{1 - \cot x}}?$

((a))
sin x cos x + 1
((b))
sec x cosec x + 1
((c))
tan x cot x + 1
((d))
sec²x cosec²x + 1

Show Answer

Answer: ((b))

sec x cosec x + 1

${{\cot x}}{{1 - \tan x}} + \frac{{\tan x}}{{1 - \cot x}} = \frac{{cosx}}{{\frac{{sinx}}{{1 - \frac{{sinx}}{{cosx}}}}}} + \frac{{sinx}}{{\frac{{cosx}}{{1 - \frac{{cosx}}{{sinx}}}}}} = \frac{{cosx}}{{\frac{{sinx}}{{\frac{{cosx - sinx}}{{cosx}}}}}} + \frac{{sinx}}{{\frac{{cosx}}{{\frac{{sinx - cosx}}{{sinx}}}}}}$

$= \frac{{co{s^2}x}}{{sinx\left( {cosx - sinx} \right)}} + \frac{{si{n^2}x}}{{cosx\left( {sinx - cosx} \right)}}$

$= \frac{{co{s^2}x}}{{sinx\left( {cosx - sinx} \right)}} - \frac{{si{n^2}x}}{{cosx\left( {cosx - sinx} \right)}}$

$= \frac{{co{s^3}x - si{n^3}x}}{{\left( {cosx - sinx} \right)sinx;cosx}} = \frac{{\left[ {\left( {cosx - sinx} \right)\left( {si{n^2}x +co{s^2}x; + ;sinx;cosx} \right)} \right]}}{{\left( {cosx - sinx} \right)\sin cosx}};$

$= \frac{{1 +sinx;cosx}}{{sinxcosx}}$

$= cosecx;secx + 1$

135

The area of a rectangle is equal to the area of a square. If the area of the rectangle is 196 cm², then what is the perimeter (in cm) of the square?

((a))
116
((b))
56
((c))
112
((d))
42

Show Answer

Answer: ((b))

Given:

Area of rectangle = Area of square

Area of rectangle = 196 cm²

Formula used:

Area of rectangle = L × B

Area of Square = (Side)²

Perimeter of square = 4 × Side

Calculation:

Area of rectangle = Area of square = 196 cm²

Let side length of square be a

Area = a²= 196 cm²

⇒ a = 14 cm

Perimeter of square = 4a

⇒ (4 × 14) cm

⇒ 56 cm

∴ The perimeter of square is 56 cm

136

If ${y^4}; + ;\frac{1}{{{y^4}}}; = ;223;and;y > 1$ , then find the value of ${y^2}; + ;\frac{1}{{{y^2}}}?$

((a))
15
((b))
14
((c))
14.86
((d))
16

Show Answer

Answer: ((a))

$\begin{array}{l} {y^4}; + ;\frac{1}{{{y^4}}}; + ;2; = ;223; + ;2\ {({y^2}; + ;\frac{1}{{{y^2}}})^2}; = ;223; + ;2; = ;225\ ({y^2}; + ;\frac{1}{{{y^2}}}); = ;15 \end{array}$

137

If (c - d) = (c + d)/5 = (cd)/3 and c, d ≠ 0, then what is the value of cd?

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

Show Answer

Answer: ((b))

3/2

Let $\left( {c - d} \right); = ;\frac{{c; + ;d}}{5}; = ;\frac{{cd}}{3}; = ;k$

⇒ (c – d) = k

⇒ (c + d) = 5k

⇒ cd = 3k

(c + d)² = (c – d)² + 4cd

⇒ 25k²= k² + 3k × 4 = k² + 12k

⇒ 24k² – 12k = 0

⇒ 12k(2k – 1) = 0

k can’t be 0.

⇒ k = 1/2

∴ cd = 3k = 3/2

138

If 5 sin x = 4, then the numerical value of $\left( {\frac{{\tan x - \cot x}}{{\sec x - \tan x}}} \right)\left( {\frac{{{{\cos }^4}x - {{\sin }^4}x}}{{2{{\cos }^2}x - 1}}} \right)?$

((a))
$\frac{3}{5}$
((b))
$\frac{5}{4}$
((c))
$\frac{7}{4}$
((d))
$\frac{9}{5}$

Show Answer

Answer: ((c))

$\frac{7}{4}$

Sin x = 4/5

⇒ cos x = 3/5

$\left( {\frac{{\tan x - \cot x}}{{\sec x - \tan x}}} \right)= \frac{{\left( {\frac{{sinx}}{{cosx}} - \frac{{cosx}}{{sinx}}} \right)}}{{\frac{1}{{cosx}} - \frac{{sinx}}{{cosx}}}} = \frac{{(si{n^2}x - co{s^2}x)}}{{\frac{{sinxcosx}}{{\frac{{1 - sinx}}{{cosx}}}}}} = \frac{{\left( {sinx - cosx} \right)\left( {sinx; + ;cosx} \right)}}{{sinx;\left( {1 - sinx} \right)}}$

$\frac{{{{\cos }^4}x - {{\sin }^4}x}}{{2{{\cos }^2}x - 1}} = \frac{{\left( {co{s^2}x - si{n^2}x} \right)(co{s^2}x; + ;si{n^2}x)}}{{cos2x}} = \frac{{cos2x}}{{cos2x}} = 1$

[(cos²x – sin²x) = (2cos²x – 1) = cos 2x]

$\left( {\frac{{\tan x - \cot x}}{{\sec x - \tan x}}} \right)\left( {\frac{{{{\cos }^4}x - {{\sin }^4}x}}{{2{{\cos }^2}x - 1}}} \right) = \frac{{\left( {sinx - cosx} \right)\left( {sinx; + ;cosx} \right)}}{{sinx;\left( {1 - sinx} \right)}} = \frac{{\left( {\frac{4}{5} - \frac{3}{5}} \right)\left( {\frac{4}{5}; + ;\frac{3}{5}} \right)}}{{\frac{4}{5}; \times ;\left( {1 - \frac{4}{5}} \right)}} = \frac{{\left( {\frac{1}{5}{\rm{;}} \times {\rm{;}}\frac{7}{5}} \right)}}{{\frac{4}{5}; \times ;\frac{1}{5}}}$

$; = ;\frac{7}{4}$

139

If x = 5 + 2√6, then what is the value of $\sqrt x ; + ;\frac{1}{{\sqrt x }}?$

((a))
2√3
((b))
3√2
((c))
2√6
((d))
6√2

Show Answer

Answer: ((a))

2√3

$x = 5 + 2\sqrt 6 = \left( {3 + 2 + 2{\rm{}} \times {\rm{}}\sqrt 3 {\rm{}} \times {\rm{}}\sqrt 2 } \right){\rm{}} = [{\left( {\sqrt 3 } \right)^2} + {\rm{}}{\left( {\sqrt 2 } \right)^2}{\rm{}} + {\rm{}}2{\rm{}} \times {\rm{}}\sqrt 3 {\rm{}} \times {\rm{}}\sqrt 2 = {\rm{}}{\left( {\sqrt 3 + {\rm{}}\sqrt 2 } \right)^2}$

√x = (√3 + √2)

$\begin{array}{l} \frac{1}{{\sqrt x }} = \frac{1}{{\sqrt 3 + \sqrt 2 }} = \sqrt 3 - \sqrt 2 \ \sqrt x + \frac{1}{{\sqrt x }} = \sqrt 3 + \sqrt 2 + \sqrt 3 - \sqrt 2 = 2\sqrt 3 \end{array}$

140

ΔPQR is a right angled at Q. If PQ = 8 cm and PR = (QR + 2) cm. What is the value (in cm) of PR?

((a))
17
((b))
15
((c))
19
((d))
18

Show Answer

Answer: ((a))

Let QR = x

PR = x + 2

Applying Pythagoras theorem,

PR² = PQ² + QR²

(x + 2)² = 64 + x²

x² + 4 + 4x = 64 + x²

4x = 60

x = 15

PR = x + 2 = 17 cm

141

A 120 litres mixture of milk and water contains 40% milk. How much milk (in litres) must be added so that milk becomes 50%?

((a))
28
((b))
30
((c))
24
((d))
32

Show Answer

Answer: ((c))

GIVEN:

Quantity of Mixture = 120 litres

Percentage of milk in mixture = 40%

CALCULATION:

Quantity of milk in the mixture = 40% of 120 = 48 L

⇒ Qunatity of water in the mixture = 120 – 48 = 72 L

In the final mixture, quantity of milk is 50%

⇒ Quantity of milk = Quantity of water = 72 L

∴ Quantity of milk added = 72 – 48 = 24 L

142

Average of 7 consecutive odd numbers is 31. If the previous and next odd number to these 7 odd numbers are also included, then what will be the new average?

((a))
33
((b))
31
((c))
35
((d))
29

Show Answer

Answer: ((b))

Let 7 odd consecutive numbers are (n - 6), (n - 4), (n - 2), n, (n + 2), (n + 4), (n + 6)

Given that, Average = 31

Average = middle term = n = 31

If we add previous and next odd number to these 7 odd numbers, again middle term will be

n = 31

∴ New average = 31

143

What percentage of the total candidates belong the non-medical?

((a))
18%
((b))
8.33%
((c))
15%
((d))
14.28%

Show Answer

Answer: ((c))

15%

% of candidates belong to non-medical = $\frac{{54}}{{360}} \times 100 =15%$

144

By selling a pen for Rs 105 there is a loss of 30%. At what price (in Rs) the pen must be sold in order to gain 30%?

((a))
215
((b))
165
((c))
195
((d))
200

Show Answer

Answer: ((c))

195

Loss = 30%

⇒ SP = 70% of CP

⇒ 105 = 70% of CP

⇒ CP = Rs. 150

If profit = 30%

SP = 130% of CP = 1.3 × 150 = 195 Rs

145

Find the value of $\frac{{\sqrt {cose{c^2}A - 1} }}{{\cot A; + ;\tan A}}?$

((a))
sin²A
((b))
cos A sin A
((c))
cos² A
((d))
sec A cosec A

Show Answer

Answer: ((c))

cos² A

$\sqrt {cose{c^2}A - 1} = \surd co{t^2}A = \cot A = \frac{{cosA}}{{sinA}}$

$cotA + tanA = \frac{{cosA}}{{sinA}} + \frac{{sinA}}{{cosA}} = \frac{{co{s^2}x + si{n^2}x}}{{sinAcosA}} = \frac{1}{{sinAcosA}}$

$\frac{{\sqrt {cose{c^2}A - 1} }}{{\cot A; + ;\tan A}} = \frac{{cosA}}{{\frac{{sinA}}{{\frac{1}{{sinAcosA}}}}}} = co{s^2}A$

146

What is the value of sin 8θ + sin 6θ?

((a))
2 sin 7θ cos 7θ
((b))
2 sin 7θ cosθ
((c))
2 sin θ cos 7θ
((d))
2 sin 4θ cos 3θ

Show Answer

Answer: ((b))

2 sin 7θ cosθ

$\begin{array}{l} sinA + sinB =2{\rm{sin;}}\frac{{A + B}}{2};{\rm{cos;}}\frac{{A - B}}{2};\ sin8\theta + sin6\theta = 2{\rm{sin;}}\frac{{8\theta +6\theta }}{2};{\rm{cos;}}\frac{{8\theta - 6\theta }}{2} =2sin7\theta ;cos\theta \end{array}$

147

One third of a certain journey is covered at the speed of 40 km/hr, one fourth at the speed of 25 km/hr and the rest at the speed of 50 km/hr. what will be the average speed(in km/hr) for the whole journey?

((a))
37.5
((b))
33.5
((c))
33.33
((d))
38.33

Show Answer

Answer: ((a))

37.5

Calculation:

Let the total distance traveled be d.

Average speed = (total distance travelled)/(total time taken)

Given that,

d/3 is covered at 40 km/hr

d/4 is covered at 25 km/hr

And, d – (d/3 + d/4) = (d – 7d/12) = 5d/12 is covered at 50 km/hr

∴ Aveage speed = $\frac{d}{{\frac{d}{{3{\rm{;}} \times {\rm{;}}40}}; + ;\frac{d}{{4{\rm{;}} \times {\rm{;}}25}}; + ;\frac{{5d}}{{12{\rm{;}} \times {\rm{;}}50}}}}; = ;\frac{d}{{\frac{{5d; + ;6d; + ;5d}}{{600}}}}; = ;\frac{{600}}{{16}}; = ;37.5\frac{{km}}{{hr}}$

148

A cylinder having base radius equal to its height, right circular cone whose radius is equal to its height and a hemisphere are given. All of them have the same volumes. What will be the ratio of their respective radius?

((a))
$\sqrt[3]{3}:1:\sqrt[3]{2}$
((b))
$1:\sqrt[3]{2}:\sqrt[3]{2}$
((c))
$\sqrt[3]{2}:\sqrt[3]{6}:\sqrt[3]{3}$
((d))
$\sqrt[3]{4}:\sqrt[3]{6}:\sqrt[2]{3}$

Show Answer

Answer: ((c))

$\sqrt[3]{2}:\sqrt[3]{6}:\sqrt[3]{3}$

Let the radius of cylinder, cone and hemisphere be a, b and c respectively.

Given that,

${\rm{\pi }}{{\rm{a}}^2}{\rm{;}} \times {\rm{;a;}}={\rm{;}}\frac{1}{3}{\rm{\pi }}{{\rm{b}}^2}{\rm{;}} \times {\rm{;b;}}={\rm{;}}\frac{2}{3}{\rm{\pi }}{{\rm{c}}^3}$

3a³ = b³ = 2c³

$\Rightarrow {\rm{;}}\sqrt[3]{3}a; = ;b; = ;\sqrt[3]{2}c$

⇒ a : b : c = $\frac{1}{{\sqrt[3]{3}}};:1;:\frac{1}{{\sqrt[3]{2}}}; = ;\sqrt[3]{2};:;\sqrt[3]{6};:;\sqrt[3]{3}$

149

What is the value of $\frac{{\sec \theta }}{{\tan \theta ; + ;\cot \theta }}?$

((a))
cosθ
((b))
tanθ
((c))
sinθ
((d))
cotθ

Show Answer

Answer: ((c))

sinθ

$\frac{{\sec \theta }}{{\tan \theta + \cot \theta }} = \frac{1}{{\frac{{Cos\theta }}{{\frac{{sin\theta }}{{cos\theta }} + \frac{{cos\theta }}{{sin\theta }}}}}} = \frac{1}{{\frac{{cos\theta }}{{\frac{{si{n^2}\theta +co{s^2}\theta }}{{sin\theta cos\theta }}}}}} = \frac{1}{{\frac{{cos\theta }}{{\frac{1}{{sin\theta cos\theta }}}}}} = sin\theta$

150

In the given figure, O is the center of the circle, if ∠POR = 130°, then what is the value (in degree) of ∠S and ∠Q respectively.

((a))
65°, 115°
((b))
55°, 125°
((c))
60°, 120°
((d))
65°, 120°

Show Answer

Answer: ((a))

65°, 115°

Given that,

∠POR = 130°

⇒ ∠PSR = 65°

PQRS is a cyclic quadrilateral.

⇒ ∠Q + ∠S = 180°

∠Q + 65° = 180°

∠Q = 115°

∴ ∠S = 65° and ∠Q = 115°

English Comprehension (50 questions)

151

Improve the bracketed part of the sentence.

You should visit Jaisalmer when you (had been to) Rajasthan.

((a))
should have gone to
((b))
were going to
((c))
go to
((d))
No improvement

Show Answer

Answer: ((c))

go to

The correct tense here should be simple present as the sentence talks about a future activity. Thus option 3 is the correct answer. The other options do not fit here.

152

In the following question, four words are given out of which one word is incorrectly spelt. Select the incorrectly spelt word.

((a))
forecast
((b))
puerille
((c))
satellite
((d))
utterance

Show Answer

Answer: ((b))

puerille

The correct words are:

Forecast=> predict

Puerile=> childishly silly and immature.

Satellite

Utterance=> a spoken word, statement, or vocal sound.

Thus option 2 is the incorrectly spelt word.

153

In the following question, out of the four alternatives, select the alternative which best expresses the meaning of the idiom/phrase.

In the offing

((a))
in danger
((b))
appear soon
((c))
side by side
((d))
worrisome

Show Answer

Answer: ((b))

appear soon

The idiom ‘in offing’ means likely to happen or appear soon. Thus option 2 is the correct answer.

154

Improve the bracketed part of the sentence.

Why (did you not threw) the clothes away?

((a))
had you not threw
((b))
did you not throw
((c))
you did not thrown
((d))
No improvement

Show Answer

Answer: ((b))

did you not throw

The verb must always be in simple present tense when used with ‘did.’ Only option 2 fits here. The other options are grammatically incorrect.

155

In the following question, out of the four alternatives, select the alternative which is the best substitute of the phrase.

A pioneer of a reform movement

((a))
oubliette
((b))
apostle
((c))
spinster
((d))
mendicant

Show Answer

Answer: ((b))

apostle

The meanings of the words are:

Oubliette=> a secret dungeon with an opening only in the ceiling, as in certain old castles

Apostle=> a vigorous and pioneering advocate or supporter of a particular policy, idea, or cause.

Spinster=> a woman who is not married

Mendicant=> one who begs

Thus option 2 is the correct answer.

In the following passage some of the words have been left out. Read the passage carefully and select the correct answer for the given blank out of the four alternatives.

Regular physical activity provides numerous health benefits-form ______ bodies and ______ blood pressure to improve mental health and cognitive functioning. As the school ______ education programme promotes physical activity and can teach skills as well as form or change behaviour, it holds an important key to ______ health and well-being across the life span. To improve the fitness of students, we need to rethink the design and ______ of school-based physical education programme.

156

an important key to ______ health and well-being

((a))
curb
((b))
intensify
((c))
suppress
((d))
influence

Show Answer

Answer: ((d))

influence

The word ‘curb’ means ‘destroy’ and it does not fit here as no one wants to hamper health. It is not a thing to ‘intensify’ as well. ‘Intensify’ means ‘extend in degree.’ ‘Suppress’ means ‘forcibly put an end to’ and this too does not fit here. The word ‘influence’ means ‘to affect’ and conveys the meaning that the programmes affect health and well-being of people.

157

In the following question, out of the four alternatives, select the alternative which best expresses the meaning of the idiom/phrase.

Wolf's in sheep clothing

((a))
hypocrite
((b))
wise person
((c))
foolish
((d))
quarrelsome person

Show Answer

Answer: ((a))

hypocrite

The idiom ‘wolf’s in sheep clothing’ means ‘someone who pretends.’ Thus ‘hypocrite’ is the correct answer.

158

In the following question, out of the four alternatives, select the alternative which is the best substitute of the phrase.

A verse letter

((a))
parasol
((b))
ballad
((c))
epistle
((d))
dirge

Show Answer

Answer: ((c))

epistle

The meanings of the words are:

Parasol=> a light umbrella used to give shade from the sun.

Ballad=> a poem or song narrating a story in short stanzas.

Epistle=>a letter

Dirge=> a lament for the dead, especially one forming part of a funeral rite

Thus option 3 is the correct answer.

A passage is given with five questions following it. Read the passage carefully and select the best answer to each question out of the given four alternatives.

The student community signifies bubbling youth. The irresistible youth is restless today, seeking recognition and understanding. Students are the hope of tomorrow and yet, student unrest is a global phenomenon of today. One has grown accustomed to strikes, boycott of examinations and classes, gheraos of vice chancellor and processions, demonstration and violence in which the students are involved. Student unrest has thus become a part of our lives. It is a disease of our times for which no effective antidote has been administered.Student unrest is universal and it is interesting to note that according to an opinion poll recorded in Fortune, an American magazine, forty percent of American students joined the universities with the idea of reforming the world. It is evident that the young blood flowing in the veins of student community is impatient to bring about radical change in the society. The students believe in a new order of things. They want to do away with the old systems and institutions, the conservatism and rigidity of the older generation which they consider decadent and archaic. The youthful student wants to break the taboos set by the society and does not believe in the values and morality of the older generation. A clash is inevitable in the circumstance which leads to a deadlock and the so-called generation-gap. The elders usually insist on having thing their way which leads to frustration and crisis among the students. They feel forsaken and visualize an utopian 'Brave New World'. For them the social, political, economic and educational systems are defective and inefficient. They feel sinned against and as if they were the target of injustice and the net result is that they 'rebel'. Rebelling, in their view, is the only (right), course open to them.

159

What can be the suitable title for the passage?

((a))
Student associated with bubbling youth
((b))
The resistible youth of today
((c))
The problem of student unrest
((d))
Students – Effective antidote to transform today's world

Show Answer

Answer: ((c))

The problem of student unrest

The passage is focused on the global phenomenon of student unrest. It talks about the consequences and the reasons of the problem. Thus option 3 is the correct answer.

160

In the following question, four words are given out of which one word is incorrectly spelt. Select the incorrectly spelt word.

((a))
exemplary
((b))
translucent
((c))
achievement
((d))
gorgette

Show Answer

Answer: ((d))

gorgette

The meanings of the words are:

Exemplary=> serving as a desirable model; very good.

Translucent=> semi-transparent

Achievement=> attainment

Georgette=> a thin silk or crêpe dress material.

Thus option 4 is the incorrectly spelt word.

161

In the following question, the sentence given with blank to be filled in with an appropriate word. Select the correct alternative out of the four and indicate it by selecting the appropriate option.

Nitin told Rohan that he ______ English fluently and was very happy.

((a))
can speak
((b))
could speak
((c))
could have spoken
((d))
would speak

Show Answer

Answer: ((b))

could speak

The sentence is constructed in simple past tense thus ‘could’, the past tense of ‘can’ should be used here. Thus option 2 is the correct answer.

162

In the following question, out of the four alternatives, select the alternative which is the best substitute of the phrase.

One who believes that everything is pre-destined

((a))
fatalist
((b))
astrologer
((c))
hypocrite
((d))
prodigal

Show Answer

Answer: ((a))

fatalist

The correct answer is 1 i.e. 'fatalist'.

Key Points

Lets' look at the meanings of the words:
'Fatalist' means 'someone who feels that no matter what he or she does, the outcome will be the same because it's predetermined'.
'Astrologer' refers to a 'person who uses astrology to tell others about their character or to predict their future'.
'Hypocrite' is 'someone who pretends to be something else'.
'Prodigal' means 'someone who is spending money or using resources freely and recklessly; wastefully extravagant'.
From the above, it is clear that the phrase 'One who believes that everything is pre-destined' can be substituted by the word 'fatalist'.

163

In the following question, some part of the sentence may have errors. Find out which part of the sentence has an error and select the appropriate option. If a sentence is free from error, select 'No Error'.

Madhuri did not reply (1)/ when I asked her (2)/ why was she weeping. (3)/ No Error (4)

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

Show Answer

Answer: ((c))

The error lies in part 3 of the sentence as the structure has been incorrect. In statements the pronoun should be placed before the verb. Thus ‘she’ should be written before ‘was’. It should read as:’why she was weeping.’

164

Roshni said that she prefers (1)/ a white shirt than coloured one (2)/ in formal meetings. (3)/ No Error (4)

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

Show Answer

Answer: ((b))

The error lies in part 2 of the sentence as the preposition ‘than’ is not used with ‘prefer’ and ‘to’ should be used with ‘prefers.’ The article ‘a’ should be used before the word ‘coloured.’ It should read as:’a white shirt than a coloured one.’

165

In the following question, four words are given out of which one word is incorrectly spelt. Select the incorrectly spelt word.

((a))
manoevre
((b))
commensurate
((c))
harassment
((d))
exaggerate

Show Answer

Answer: ((a))

manoevre

The meanings of the words are:

Manoeuvre=> a movement or series of moves requiring skill and care

Commensurate=> corresponding in size or degree; in proportion

Harassment=> aggressive pressure or intimidation.

Exaggerate=> represent (something) as being larger, better, or worse than it really is

Thus option 1 is the incorrectly spelt word

166

the school ______ education programme promotes

((a))
mental
((b))
emotional
((c))
physical
((d))
technical

Show Answer

Answer: ((c))

physical

The passage talks about physical health thus the kind of education programme should be ‘physical.’ The other words do not fit here as they are not relevant to the topic.

167

In the following question, four words are given out of which one word is incorrectly spelt. Select the incorrectly spelt word.

((a))
embarrassment
((b))
efflorescence
((c))
grieveance
((d))
desiccate

Show Answer

Answer: ((c))

grieveance

The correct words are:

Embarrassment=> the feeling of being embarrassed

Efflorescence=> the production of a lot of art, especially of a high quality.

Grievance=> a real or imagined cause for complaint, especially unfair treatment.

Desiccate=> remove the moisture from (something), typically in order to preserve it.

Thus option 3 is the correct answer.

168

In the following question, four words are given out of which one word is incorrectly spelt. Select the incorrectly spelt word.

((a))
commentery
((b))
moustache
((c))
belligerent
((d))
acquiescence

Show Answer

Answer: ((a))

commentery

The correct words are:

Commentary=> an expression of opinions or offering of explanations about an event or situation.

Moustache

Belligerent=> quarrelsome

Acquiescence=> the reluctant acceptance of something without protest.

Thus option 1 is the incorrectly spelt word.

169

In the following question, out of the four alternatives, select the alternative which is the best substitute of the phrase.

Person who gives written testimony for use in a law court

((a))
reticence
((b))
masochist
((c))
deponent
((d))
concubine

Show Answer

Answer: ((c))

deponent

The meanings of the words are:

Reticence=> reserve

Masochist=> a person who derives sexual gratification from their own pain or humiliation.

Deponent=> a person who makes a deposition or affidavit under oath.

Concubine=> (in polygamous societies) a woman who lives with a man but has lower status than his wife or wives.

Thus option 3 is the correct answer.

170

health benefits-form ______ bodies

((a))
leaner
((b))
skinny
((c))
static
((d))
unhealthier

Show Answer

Answer: ((a))

leaner

The word here must have a positive meaning as the sentence states that regular physical activity has benefits. Thus ‘leaner’ which means ‘slim’ is the correct answer. ‘Skinny’ means ‘very thin’ and cannot be used here. ‘Static’ means ‘stagnant’ and ‘unhealthier’ means ‘sick.’

171

According to the passage, which of the following is INCORRECT?

((a))
Student unrest is a global phenomenon.
((b))
Students are the hope of tomorrow.
((c))
Students believe in a new order of things.
((d))
Students believe in the values and morality of the older generation.

Show Answer

Answer: ((d))

Students believe in the values and morality of the older generation.

It is mentioned in the passage ‘The youthful student wants to break the taboos set by the society and does not believe in the values and morality of the older generation.’ Thus option 4 is the correct answer.

172

They treated us not only to cocktails but also ______ dinner.

((a))
on
((b))
for
((c))
in
((d))
to

Show Answer

Answer: ((d))

Someone treats ‘to’ an item thus option 4 is the correct preposition. The other prepositions are incorrect here.

173

The dinner ______ prepared yet when our guests arrived.

((a))
had not been
((b))
have not been
((c))
was not
((d))
is not

Show Answer

Answer: ((a))

had not been

The sentence is in past tense thus options 2 and 4 are eliminated first as they are in present tense.The word ‘yet’ makes option 3 eliminate as well. Option 1 is correct as past perfect tense fits here correctly. It is used to refer to a time earlier than before now.

174

Improve the bracketed part of the sentence.

Anshika (held) a party when she got her L.L.B. degree.

((a))
gave
((b))
promised
((c))
planned
((d))
No improvement

Show Answer

Answer: ((a))

gave

The word ‘gave’ means ‘throw a party.’ The sentence states that the person achieved something thus option 1 is correct here. The other words are not very apt in the context.

175

In the following question, out of the four alternatives, select the alternative which is the best substitute of the phrase.

A long case for carrying arrows.

((a))
legion
((b))
wreath
((c))
quiver
((d))
volley

Show Answer

Answer: ((c))

quiver

The meanings of the words are:

Legion=> a vast number of people or things.

Wreath=> an arrangement of flowers, leaves, or stems fastened in a ring and used for decoration or for laying on a grave.

Quiver=> a long narrow case for carrying arrows.

Volley=> a number of bullets, arrows, or other projectiles discharged at one time.

Thus option 3 is the correct answer.

176

What the students of today do away with?

((a))
Old systems and traditions
((b))
Rigidity of old generation
((c))
Conservatism
((d))
All of these

Show Answer

Answer: ((d))

All of these

The passage states that the students want to get rid of the old systems and ways and want to establish their own ways. All the options are mentioned in the passage. Thus option 4 is the correct answer.

177

What disease is being talked about in a passage?

((a))
Boycott of examination by students
((b))
Gheraos of vice chancellors
((c))
Strikes by students
((d))
Student unrest

Show Answer

Answer: ((d))

Student unrest

The rebelling attitude of the students is considered to be a disease. Thus student unrest is the disease being talked about in the passage.

178

In the following question, out of the four alternatives, select the alternative which best expresses the meaning of the idiom/phrase.

Heads will roll

((a))
unconditionally surrendered
((b))
dismissed or forced to resign
((c))
born in a wealthy family
((d))
resorted to illegitimate practices

Show Answer

Answer: ((b))

dismissed or forced to resign

The idiom ‘heads will roll’ means ‘dismissed or forced to resign’. Thus option 2 is the correct answer.

179

Improve the bracketed part of the sentence.

Nisha took a longer time to read the proposal for she wanted to (go about it carefully).

((a))
go through it carefully
((b))
go about it casually
((c))
go through it hastily
((d))
No improvement

Show Answer

Answer: ((a))

go through it carefully

The correct phrase here should be ‘go through’ which means ‘read carefully.’ It justifies why the person took a longer time to read the proposal. The other options do not convey any meaning.

180

the design and ______ of school-based

((a))
decoration
((b))
delivery
((c))
formation
((d))
development

Show Answer

Answer: ((b))

delivery

The word ‘delivery’ fits here as ‘design’ and ‘development’ would be repetitive here. ‘Develop’ means ‘form and improve’. ‘Delivery’ means ‘providing or supplying’. The other words too do not fit here.

181

How much money ______ since the death of your father?

((a))
you have wasted
((b))
did you waste
((c))
you wasted
((d))
have you wasted

Show Answer

Answer: ((d))

have you wasted

The sentence talks about an activity that is still going on so present perfect tense fits here. The correct structure is the usage of ‘have’ before the pronoun ‘you.’ Thus option 4 is the correct answer.

182

In the following question, out of the four alternatives, select the alternative which best expresses the meaning of the idiom/phrase.

Pin-money

((a))
a person unsuited to the position he fills
((b))
to trouble others
((c))
bribery
((d))
allowance made to a lady for her expenses

Show Answer

Answer: ((d))

allowance made to a lady for her expenses

The idiom ‘pin-money’ means ‘allowance made to a lady for her expenses.’ Thus option 4 is the correct answer.

183

Why student unrest is considered as a global phenomenon of today?

((a))
Today's students seek much recognition.
((b))
They are the hope of tomorrow.
((c))
Students tend to run away from their responsibilities very often.
((d))
Students are being pampered a lot now-a-days.

Show Answer

Answer: ((b))

They are the hope of tomorrow.

It is mentioned in the passage ‘Students are the hope of tomorrow and yet, student unrest is a global phenomenon of today.’ Thus option 2 is the correct answer.

184

Sunita told me that she ______ go to Chennai next month.

((a))
would
((b))
shall
((c))
will
((d))
should

Show Answer

Answer: ((a))

would

The sentence is constructed in simple past tense and it talks about a past activity thus ‘would’, the past tense of ‘will’ should be used here. ‘Will’ is incorrect here as the person had said in the past that she was about to go to Chennai.

185

Ashutosh is one of the players (1)/ who has been selected (2)/ for the T20 match. (3)/ No Error (4)

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

Show Answer

Answer: ((b))

The correct answer is: 2.

Key Points

The verb in the case of ‘one of the’ should agree with the antecedent.
If the antecedent is plural, the verb that must agree with it should also be plural.
For example: He is one of those players who have won many accolades in such a short time. (Here, 'players' is the antecedent of 'who')
Similarly, in this context, the noun ‘players’ (antecedent of 'who') is plural here.
'players' is written after 'one of'. 'Players' is plural. Therefore, the verb that should agree with it must also be plural.
So, the verb should be ‘have been’ and not ‘has been.’ Thus it should read as: 'who have been selected.’
Hence 'have' should replace 'has' to make the sentence grammatically correct.

Therefore, the correct answer is: Ashutosh is one of the players who have been selected for the T20 match.

186

Improve the bracketed part of the sentence.

Rohit asked Ankit (that why he was) unwilling to go with Suraj.

((a))
that why he had been
((b))
why was he
((c))
why he was
((d))
No improvement

Show Answer

Answer: ((c))

why he was

The error in the phrase is the usage of the word ‘that’. It is never used after the verb ‘asked.’ The structure of the sentence should be:’Rohit asked Ankit why he was unwilling to go with Suraj.’ The pronoun should come before the verb thus option 2 is incorrect. Option 3 is thus the correct answer.

187

In the following question, out of the four alternatives, select the alternative which best expresses the meaning of the idiom/phrase.

To cut the crackle

((a))
to stop talking and start
((b))
to be under one's subjugation
((c))
to foment trouble
((d))
to ridicule

Show Answer

Answer: ((a))

to stop talking and start

The idiom ‘to cut the crackle’ means ‘to stop talking and start’. Thus option 1 is the correct answer.

188

and ______ blood pressure to improve

((a))
higher
((b))
lower
((c))
measurable
((d))
significant

Show Answer

Answer: ((b))

lower

Blood pressure should be normal thus ‘lower’ fits better here than ‘higher.’ The other words cannot fit here. ‘Measurable’ means ‘that which can be measured’ and ‘significant’ means ‘notable.’ Thus option 2 is the correct answer.

189

Ritesh could succeed (1)/ in catching the Frisbee before (2)/ it reaches the boundary line. (3)/ No Error (4)

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

Show Answer

Answer: ((c))

The error lies in part 3 of the sentence as the verb ‘reaches’ in simple present tense must be replaced with the verb ‘reached’ in simple past tense. The sentence talks about an incident that had taken place in the past so the verb should be ‘reached.’

190

In the following question, out of the four alternatives, select the word opposite in meaning to the word given.

Passivity

((a))
distinct
((b))
interest
((c))
disregard
((d))
lucid

Show Answer

Answer: ((b))

interest

The word ‘passivity’ means ‘acceptance of what happens, without active response or resistance.’. The meanings of the words are:

Distinct=> recognizably different in nature from something else of a similar type

Interest=> the feeling of wanting to know or learn about something or someone.

Disregard=> pay no attention to; ignore.

Lucid=> clearly expressed and easy to understand, or (of a person) thinking or speaking clearly

Thus option 2 is the correct answer.

191

In the following question, out of the four alternatives, select the word opposite in meaning to the word given.

Scrutable

((a))
Occult
((b))
Intelligible
((c))
Pliable
((d))
Transparent

Show Answer

Answer: ((a))

Occult

The correct answer is Occult.

Key Points

The word ‘Scrutable’ means ‘capable of being deciphered’. Decipher means to convert (a text written in code, or a coded signal) into normal language.
The meanings of the words are:
Occult=> mystical, supernatural, or magical powers, practices, or phenomena
Intelligible=> able to be understood; comprehensible
Pliable=> easily bent; flexible
Transparent=> see-through

Thus option 1 is the correct antonym.

192

In the following question, out of the four alternatives, select the word opposite in meaning to the word given.

Revoke

((a))
proclaim
((b))
cancel
((c))
violate
((d))
latent

Show Answer

Answer: ((a))

proclaim

The word ‘revoke’ means ‘officially cancel (a decree, decision, or promise)’. The meanings of the words are:

Proclaim=> declare

Violate=> break or fail to comply with (a rule or formal agreement)

Latent=> present but needing particular conditions to become active, obvious, or completely developed:

Thus option 1 is the correct answer.

193

In the following question, out of the four alternatives, select the word opposite in meaning to the word given.

Slavish

((a))
docile
((b))
impede
((c))
assertive
((d))
servile

Show Answer

Answer: ((c))

assertive

The word ‘slavish’ means ‘obeying completely and having no original thoughts or ideas’. The meanings of the words are:

Docile=> quiet and easy to influence, persuade, or control

Impede=> to make it more difficult for something to happen or more difficult for someone to do something

Assertive=> having or showing a confident and forceful personality

Servile=> too eager to serve and please someone else in a way that shows you do not have much respect for yourself

Thus option 3 is the correct answer.

194

In the following question, out of the four alternatives, select the word opposite in meaning to the word given.

Esoteric

((a))
obscure
((b))
abstruse
((c))
familiar
((d))
secret

Show Answer

Answer: ((c))

familiar

The word ‘esoteric’ means ‘difficult to understand’. The meanings of the words are:

Obscure=> difficult to understand

Abstruse=> difficult to understand

Familiar=> same

Secret=> private

Thus option 3 is the correct answer.

195

In the following question, out of the four alternatives, select the word similar in meaning to the word given.

Frantic

((a))
coherent
((b))
violent
((c))
sluggish
((d))
ephemeral

Show Answer

Answer: ((b))

violent

The word ‘frantic’ means ‘conducted in a hurried, excited, and disorganized way’. The meanings of the words are:

Coherent=> (of an argument, theory, or policy) logical and consistent.

Violent=> using or involving physical force intended to hurt, damage, or kill someone or something.

Sluggish=> moving or operating more slowly than usua

Ephemeral=> short-lived

Thus option 2 is the correct answer.

196

In the following question, out of the four alternatives, select the word similar in meaning to the word given.

Grisly

((a))
pleasing
((b))
unforgiving
((c))
gruesome
((d))
sincerity

Show Answer

Answer: ((c))

gruesome

The word ‘grisly’ means ‘causing horror or disgust.’. The meanings of the words are:

Pleasing=> satisfying or appealing.

Unforgiving=> not willing to forgive or excuse people's faults or wrongdoings

Gruesome=> horrendous or disgusting

Sincerity=> seriousness

Thus option 3 is the correct answer.

197

In the following question, out of the four alternatives, select the word similar in meaning to the word given.

Efface

((a))
abolish
((b))
resurrect
((c))
oration
((d))
burden

Show Answer

Answer: ((a))

abolish

The word ‘efface’ means ‘make oneself appear insignificant or inconspicuous.’. The meanings of the words are:

Abolish=> to end an activity or custom officially

Resurrect=>revive or revitalize (something that is inactive, disused, or forgotten

Oration=> a formal speech, especially one given on a ceremonial occasion.

Burden=> something difficult or unpleasant that you have to deal with or worry about

Thus option 1 is the correct answer.

198

In the following question, out of the four alternatives, select the word similar in meaning to the word given.

Apparent

((a))
rough
((b))
manifest
((c))
obscure
((d))
apt

Show Answer

Answer: ((b))

manifest

The word ‘apparent’ means ‘that which can be seen’. The meanings of the words are:

Rough=> having an uneven or irregular surface; not smooth or level.

Manifest=> to show something clearly, through signs or actions

Obscure=> hidden

Apt=> appropriate

Thus option 2 is the correct answer.

199

In the following question, out of the four alternatives, select the word similar in meaning to the word given.

Interdiction

((a))
decree
((b))
privilege
((c))
emerge
((d))
obscene

Show Answer

Answer: ((a))

decree

The word ‘interdiction’ means ‘the action of prohibiting or forbidding something.’. The meanings of the other words are:

Decree=> an official order that has the force of law.

Privilege=> special right

Emerge=> move out of or away from something and become visible

Obscene=> offensive or disgusting by accepted standards of morality and decency.

Thus option 1 is the correct answer.

200

If I was he, (1)/ I wouldn't (2)/ accept this gift. (3)/ No Error (4)

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

Show Answer

Answer: ((a))

The correct answer is: 1.

Key Points

A wish, a regret, unlikely condition and contrary to fact statements are expressed in subjunctive mood.
It is denoted by these key words given below in the table:
Wish
If
As if
As though
Past Conditional tense (were) is used in the case of subjunctive mood.
For example: I wish I were a king.
Similarly, in this context, a subjunctive mood is introduced here by the use of 'If'.
Hence, 'were' must replace 'was' to make the sentence grammatically correct.

Therefore, the correct answer is: If I were he, I wouldn't accept this gift.

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