Previous Year Paper

SSC CGL Previous Paper (Held On: 16 August 2017 Shift 2) (Previous Year Paper)

Held in 2017

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General Intelligence and Reasoning (25 questions)

Question 1

In a row of people Manu is 7th from bottom end of row. Shrey is 10 ranks above Manu. If Shrey is 8th from top end, then how many people are there in this row?

  1. AOption (a)

    25

  2. BOption (b)

    26

  3. COption (c)

    24

  4. DOption (d)

    23

View answer & explanation

Correct answer

Answer: (c)C.

24

Why this answer is correct

If Manu is 7th from bottom end, Shrey is 10 ranks above Manu and Shrey is 8th from top end,

Then, start from the bottom Manu is 7th, Shrey is 10 ranks above Manu and 8th from the top

Hence the total people are: 7 + 10 + (8 - 1) = 24.

Question 2

If "α" denotes "subtracted from", "β" denotes "multiplied by", "θ" denotes "added to" and "δ" denotes "divided by", then 10 θ 8 β 4 δ 8 α 9 = ?

  1. AOption (a)

    7

  2. BOption (b)

    5

  3. COption (c)

    9

  4. DOption (d)

    11

View answer & explanation

Correct answer

Answer: (b)B.

5

Why this answer is correct

Tables are drawn describing symbol their meanings:

Symbol
Αβθδ
-×+÷
Meaning

 

Therefore,

10 θ 8 β 4 δ 8 α 9 = ?

→ 10 + 8 × 4 ÷ 8 - 9 = 10 + 8 × 0.5 - 9 = 10 + 4 - 9 = 14 - 9 = 5

Hence, the answer is 5.

Question 3

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

  1. AOption (a)

  2. BOption (b)

  3. COption (c)

  4. DOption (d)

View answer & explanation

Correct answer

Answer: (a)A.

Why this answer is correct

On close observation, we find the question fig. is embedded in fig. (1).

Hence, the answer is option 1.

Question 4

Seven years ago, the age of Sahil was equal to the present age of Nihal. Sum of Sahil's age 5 year ago and Nihal's age 6 years later is 58 years. If Ruchi is 4 years elder to Sahil, then what will be Ruchi's age (in years) after 10 years?

  1. AOption (a)

    38

  2. BOption (b)

    46

  3. COption (c)

    42

  4. DOption (d)

    36

View answer & explanation

Correct answer

Answer: (b)B.

46

Why this answer is correct

Let present ages of Nihalis x.

Sahil’s age seven years ago (Shahil - 7) = x

Present age of Sahil = x + 7

As per given situation:

(x + 7) - 5 + x + 6 = 58

2x + 8 = 58

x = 50/2

x = 25 = Nihal’s age

Sahil’s present age = 25 + 7

= 32 years

Ruchi’s age = 32 + 4 (given)

= 36 years

Ruchi’s age after 10 years = 36 + 10

= 46 years

Hence, answer is 46.

Question 5

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

Banana : Fruit :: Ginger : ?

  1. AOption (a)

    Root

  2. BOption (b)

    Fruit

  3. COption (c)

    Flower

  4. DOption (d)

    Stem

View answer & explanation

Correct answer

Answer: (a)A.

Root

Why this answer is correct

Biologically, Banana is a fruit, while Ginger is a modified Root.

Just as a banana is a type of fruit, ginger is a type of root (specifically a rhizome, which grows underground). The analogy compares the relationship between each item and its category.

Hence, the correct answer is " Option 1

Question 6

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

1, 3, 6, 10, 15, ?

  1. AOption (a)

    20

  2. BOption (b)

    21

  3. COption (c)

    22

  4. DOption (d)

    24

View answer & explanation

Correct answer

Answer: (b)B.

21

Why this answer is correct

The pattern followed here is,

Hence, answer is 21.

Question 7

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

Representation

  1. AOption (a)

    Paint

  2. BOption (b)

    Senator

  3. COption (c)

    Trees

  4. DOption (d)

    Strict

View answer & explanation

Correct answer

Answer: (d)D.

Strict

Why this answer is correct

  1. Paint → Representation → can be formed.

  2. Senator → Representation → can be formed.

  3. Trees → Representation → can be formed.

  4. Strict → Representation → cannot be formed as there is no C.

Hence, Strict cannot be formed using the letter of word Representation.

Question 8

If 92 A 42 B 32 = 56 and 72 A 22 B 12 = 44, then 112 A 52 B 72 = ?

  1. AOption (a)

    29

  2. BOption (b)

    32

  3. COption (c)

    47

  4. DOption (d)

    24

View answer & explanation

Correct answer

Answer: (c)C.

47

Why this answer is correct

The logic followed here is,

Letter
AB
-+
Meaning

 

92 A 42 B 32 = 56 → 92 - (42 + 32) → 81 - (16 + 9) = 56

72 A 22 B 12 = 44 → 72 - (22 + 12) → 49 - (4 + 1) = 44

Similarly,

112 A 52 B 72 → 112 - (52 + 72) → 121 - (25 + 49) = 47

Hence, the correct answer is 47.

Question 9

In 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 girls are clever.

II. All clever are hardworking.

Conclusions:

I. Some girls are not hardworking.

II. Some girls are hardworking.

III. Some hardworking are not girls.

  1. AOption (a)

    Only conclusion (I) and (II) follow.

  2. BOption (b)

    Only conclusion (II) follows.

  3. COption (c)

    Only conclusion (I) and (III) follow.

  4. DOption (d)

    All conclusions follow.

View answer & explanation

Correct answer

Answer: (b)B.

Only conclusion (II) follows.

Why this answer is correct

The least possible Venn diagram for the given statements is as follows:

Conclusions:

I. Some girls are not hardworking → false (As it is possible but not definite).

II. Some girls are hardworking → true (As per the statement, the girls who are clever will definitely be hardworking).

III. Some hardworking are not girls → false (It is possible but not definite).

Hence, only conclusion (II) is true.

Question 10

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

JPSW : LQUX :: MRPT : ?

  1. AOption (a)

    OTVG

  2. BOption (b)

    OGTU

  3. COption (c)

    OSRU

  4. DOption (d)

    OPQR

View answer & explanation

Correct answer

Answer: (c)C.

OSRU

Why this answer is correct

The pattern followed here is:

Same pattern will be followed to answer the question:

Hence, answer is OSRU.

Question 11

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

  1. AOption (a)

    Trees

  2. BOption (b)

    Leaves

  3. COption (c)

    Flower

  4. DOption (d)

    Stem

View answer & explanation

Correct answer

Answer: (a)A.

Trees

Why this answer is correct

Leaves, Flower and Stem are part of trees.

Hence, the odd one is Trees.

Question 12

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

65 : 82 :: 145 : ?

  1. AOption (a)

    165

  2. BOption (b)

    168

  3. COption (c)

    169

  4. DOption (d)

    170

View answer & explanation

Correct answer

Answer: (d)D.

170

Why this answer is correct

→ 65 : 82

→ (82 + 1) : (92 + 1) → (64 + 1) : (81 + 1)

→ 65 : 82

Same pattern will be followed to answer the question:

→ 145 : ?

→ (122 +1) : (132 + 1) → (144 + 1) : (169 + 1)

→ 145 : 170

Hence, answer is 170.

Question 13

From the given options, which answer figure can be formed by folding the figure given in the question?

  1. AOption (a)

  2. BOption (b)

  3. COption (c)

  4. DOption (d)

View answer & explanation

Correct answer

Answer: (a)A.

Why this answer is correct

When the sheet in the question fig. is folded to form a box (cube) then:

The symbol * lies opposite to the symbol #; the symbol % lies opposite to the symbol >; the symbol $ lies opposite to the symbol I.

Hence, the figures (2), (3) and (4) which bear the *, $ and I on adjacent faces cannot possibly be formed by folding the sheet in fig.

Therefore, only cube (1) can be formed.

Hence, the answer is (1).

Question 14

How many quadrilaterals are there in the given figure?

  1. AOption (a)

    3

  2. BOption (b)

    4

  3. COption (c)

    7

  4. DOption (d)

    6

View answer & explanation

Correct answer

Answer: (c)C.

7

Why this answer is correct

We shall label the figure as shown below:

Quadrilaterals are: 1. ABCD, 2. ADEB, 3. BDGE, 4. ABEC, 5. BDGF. 6. DGFC and 7. CEBH

Therefore, total 7 Quadrilaterals as there in the given figure.

Hence, the answer is 7.

Question 15

In a certain code language, "TROUPE" is written as "GILFKV" and "ERUPTION" is written as "VIFKGRLM". How is "GENIUS" written in that code language?

  1. AOption (a)

    TVMRFH

  2. BOption (b)

    TVMRGH

  3. COption (c)

    VIKRGH

  4. DOption (d)

    TUVHRH

View answer & explanation

Correct answer

Answer: (a)A.

TVMRFH

Why this answer is correct

The pattern followed here is:

"TROUPE" is written as "GILFK

Similarly,

"ERUPTION" is written as "VIFKGRLM"

Same pattern will be followed to answer the question:

"GENIUS" written as

Hence, the answer is TVMRFH.

Question 16

In the given figure, how many bottles are not brown?

  1. AOption (a)

    1, 26, 31

  2. BOption (b)

    13, 26 1

  3. COption (c)

    1, 42, 26

  4. DOption (d)

    42, 13, 1

View answer & explanation

Correct answer

Answer: (a)A.

1, 26, 31

Why this answer is correct

Clearly, 1, 26, 31 represent the group of bottles which are not brown.

Question 17

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

  1. Waste
  2. Wrong
  3. Witty
  4. Worcester
  5. Warlike
  1. AOption (a)

    51342

  2. BOption (b)

    13452

  3. COption (c)

    51324

  4. DOption (d)

    15342

View answer & explanation

Correct answer

Answer: (a)A.

51342

Why this answer is correct

  1. Warlike
  2. Waste
  3. Witty
  4. Worcester
  5. Wrong

Hence, correct dictionary order is 51342.

Question 18

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

  1. AOption (a)

  2. BOption (b)

  3. COption (c)

  4. DOption (d)

View answer & explanation

Correct answer

Answer: (a)A.

Why this answer is correct

Clearly, fig. (1) will be complete the pattern when placed in the blank space of question figures

Hence, answer Is (1).

Question 19

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

17656
14845
236?
  1. AOption (a)

    30

  2. BOption (b)

    35

  3. COption (c)

    46

  4. DOption (d)

    41

View answer & explanation

Correct answer

Answer: (b)B.

35

Why this answer is correct

→ {(1 + 7) × 6} + 8 = 56

→ {(1 + 4) × 8} + 5 = 45

Therefore, {(2 + 3) × 6} + 5 = 35

The pattern followed here is shown in the table:

176{(1 + 7) × 6} + 8 = 5656
148{(1 + 4) × 8} + 5 = 4545
236{(2 + 3) × 6} + 5 = 3535

 

Hence, the answer is 35.

Question 20

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?

  1. AOption (a)

  2. BOption (b)

  3. COption (c)

  4. DOption (d)

View answer & explanation

Correct answer

Answer: (a)A.

Why this answer is correct

Clearly, when the sheet is unfolded, we get two circles.

Hence, fig (1) is the answer.

Question 21

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

  1. AOption (a)

  2. BOption (b)

  3. COption (c)

  4. DOption (d)

View answer & explanation

Correct answer

Answer: (a)A.

Why this answer is correct

Clearly, (1) is the answer figure is the right image of the question figure.

Question 22

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

A, C, F, H, K, ?

  1. AOption (a)

    M

  2. BOption (b)

    N

  3. COption (c)

    L

  4. DOption (d)

    O

View answer & explanation

Correct answer

Answer: (a)A.

M

Why this answer is correct

The pattern followed here,

Hence, answer is M.

Question 23

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

  1. AOption (a)

    49 - 64

  2. BOption (b)

    576 - 729

  3. COption (c)

    441 - 484

  4. DOption (d)

    100 - 121

View answer & explanation

Correct answer

Answer: (b)B.

576 - 729

Why this answer is correct

  1. 49 - 64 → 72 - 82

  2. 576 - 729 → 242 - 272 (it should be 252)

  3. 441 - 484 → 212 - 222

  4. 100 - 121 → 102 - 112

Hence, odd pair is 576 - 729.

Question 24

A word is represented by only one set of numbers as gives 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 21, 44 etc. and ‘T’ can be represented by 65, 87 etc. similarly, you have to identify the set for the word ‘FATE’.

Matrix - IMatrix - II
0123456789
0AUOEI5BFKNT
1EIAUO6TBFKN
2OEIAU7NTBFK
3UOEIA8KNTBF
4IAUOE9FKNTB
  1. AOption (a)

    56, 00, 87, 11

  2. BOption (b)

    96, 41, 59, 44

  3. COption (c)

    88, 12, 76, 33

  4. DOption (d)

    78, 34, 98, 21

View answer & explanation

Correct answer

Answer: (d)D.

78, 34, 98, 21

Why this answer is correct

Given Matrix - I and Matrix - II

  1. 56, 00, 87, 11 → F, A, T, I

  2. 96, 41, 59, 44 → K, A, T, E

  3. 88, 12, 76, 33 → B, A, T, I

  4. 78, 34, 98, 21 → F, A, T, E

Hence, answer is: 78, 34, 98, 21.

Question 25

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

  1. AOption (a)

    CEF

  2. BOption (b)

    LNO

  3. COption (c)

    RTU

  4. DOption (d)

    GIK

View answer & explanation

Correct answer

Answer: (d)D.

GIK

Why this answer is correct

  1. CEF → C (3) + 2 → E (5) + 1 → F (6)

  2. LNO → L (12) + 2 → N (14) + 1 → O (15)

  3. RTU → R (18) + 2 → T (20) + 1 → U (21)

  4. GIK → G (7) + 2 → I (9) + 1 → J (10) (given is K)

Hence, answer is GIK.

General Awareness (25 questions)

Question 26

Which of the following is a chemical formula of quicklime?

  1. AOption (a)

    Ca2O

  2. BOption (b)

    Ca2CO3

  3. COption (c)

    CaO2

  4. DOption (d)

    CaO

View answer & explanation

Correct answer

Answer: (d)D.

CaO

Why this answer is correct

Chemical formula of quicklime is Cao which is calcium oxide. It is used in building products such as the cement. 

Question 27

Who is the author of ‘The Windfall’?

  1. AOption (a)

    Manmohan Singh

  2. BOption (b)

    Amitav Ghosh

  3. COption (c)

    Diksha Basu

  4. DOption (d)

    Arundhati Roy

View answer & explanation

Correct answer

Answer: (c)C.

Diksha Basu

Why this answer is correct

The author of ‘The Windfall’ is Diksha Basu.

Arundhati Roy’s latest book is The Ministry of Utmost Happiness which was published in 2017.

Question 28

Which of the following state receives rainfall due to western disturbances?

  1. AOption (a)

    Punjab

  2. BOption (b)

    West Bengal

  3. COption (c)

    Kerala

  4. DOption (d)

    Gujarat

View answer & explanation

Correct answer

Answer: (a)A.

Punjab

Why this answer is correct

Punjab receives rainfall due to western disturbances which originate in the Mediterranean region and bring sudden winter rain to the northwestern parts of the Indian subcontinent.

Question 29

Which act ended the "Trade Monopoly" of the East India Company?

  1. AOption (a)

    Regulating Act of 1773

  2. BOption (b)

    Pitt's India Act of 1784

  3. COption (c)

    The Charter Act of 1833

  4. DOption (d)

    The Charter Act of 1813

View answer & explanation

Correct answer

Answer: (d)D.

The Charter Act of 1813

Why this answer is correct

Option 4 is correct, i.e. The Charter Act of 1813.

  • The Charter Act of 1813 ended the commercial trade monopoly of the East India Company except for trade in tea and trade with China.
  • Salient features of the charter:
  • The East India Company was, however, allowed to enjoy the monopoly of China trade and trade in tea.
  • From 1793 to 1813 the company did not permit the Christian missionaries to work for the Indian people due to fear of hurting religious sentiments of Indians.
  • But the Charter act of 1813 opened India to Christian Missionaries and permitted them to propagate English and preach their religion.
  • A sum of rupees one lakh annually was provided for the revival and improvement of literature and promotion of knowledge of the sciences among the inhabitants of the British territories in India.
  • Thus, through the Act, the British government assumed the responsibility of Indian people's education.
  • This was the first step towards the idea of state responsibility for education.

Question 30

Which country hosted the 9th BRICS Summit in the year 2017?

  1. AOption (a)

    Brazil

  2. BOption (b)

    Russia

  3. COption (c)

    India

  4. DOption (d)

    China

View answer & explanation

Correct answer

Answer: (d)D.

China

Why this answer is correct

China hosted 9th BRICS Summit in the year 2017. The 8th BRICS summit was hosted by India in 2016.

Question 31

'Pradhan Mantri Digital Saksharta Abhiyan' is launched to digitally literate 6 crore rural households by __________.

  1. AOption (a)

    March, 2019

  2. BOption (b)

    March, 2020

  3. COption (c)

    April, 2021

  4. DOption (d)

    March, 2022

View answer & explanation

Correct answer

Answer: (a)A.

March, 2019

Why this answer is correct

Pradhan Mantri Digital Saksharta Abhiyan is launched to digitally literate 6 crore rural households by March, 2019. 

Question 32

What is the name of the first Super Computer of the world?

  1. AOption (a)

    CDC 6600

  2. BOption (b)

    USENET

  3. COption (c)

    COMODOR VIC/20

  4. DOption (d)

    PARAM - 10000

View answer & explanation

Correct answer

Answer: (a)A.

CDC 6600

Why this answer is correct

The CDC - 6600, released in 1964, is considered the first supercomputer. The first supercomputer of India was PARAM 8000.

Question 33

Who was the pioneer of Chipko movement of 1973?

  1. AOption (a)

    Sambaji

  2. BOption (b)

    Baba Amte

  3. COption (c)

    Sunderlal Bahuguna

  4. DOption (d)

    Medha Patkar

View answer & explanation

Correct answer

Answer: (c)C.

Sunderlal Bahuguna

Why this answer is correct

Sunderlal Bahuguna is considered to be the pioneer of Chipko Movement which started in 1973. In this people used to hug trees in order to save them from getting chopped.

Question 34

Match the following:

BattlesYear
1. Battle of Buxara. 1576
2. Battle of Plasseyb. 1764
3. Battle of Haldighatic. 1757
  1. AOption (a)

    1 - c, 2 - b, 3 - a

  2. BOption (b)

    1 - b, 2 - c, 3 - a

  3. COption (c)

    1 - b, 2 - a, 3 - c

  4. DOption (d)

    1 - c, 2 - a, 3 - b

View answer & explanation

Correct answer

Answer: (b)B.

1 - b, 2 - c, 3 - a

Why this answer is correct

Battle of Buxar was fought in 1764, Battle of Plassey was fought in 1757 and the Battle of Haldi Ghati was fought in 1576.

Question 35

With which country has India signed an agreement for assistance in green and sustainable construction of infrastructure in the Himalayan Kingdom in December, 2016?

  1. AOption (a)

    Nepal

  2. BOption (b)

    Afghanistan

  3. COption (c)

    Bhutan

  4. DOption (d)

    Pakistan

View answer & explanation

Correct answer

Answer: (c)C.

Bhutan

Why this answer is correct

India signed an agreement for assistance in green and sustainable construction of infrastructure in the Himalayan Kingdom in December, 2016; with Bhutan. 

Question 36

Which tax causes a burden on the poorer section of the society?

  1. AOption (a)

    Direct Tax

  2. BOption (b)

    Indirect Tax

  3. COption (c)

    Both Direct and Indirect Tax

  4. DOption (d)

    None of these

View answer & explanation

Correct answer

Answer: (b)B.

Indirect Tax

Why this answer is correct

Indirect tax is the kind is a tax which is levied on goods and services and its final burden falls on the consumers. That is why it causes a burden on the poorer section of the society.

Question 37

Why does Western Ghats and Eastern Ghats both receive sufficient rainfall but Deccan Plateau receives scanty rainfall?

  1. AOption (a)

    It is a rain shadow area

  2. BOption (b)

    It is located parallel to wind direction

  3. COption (c)

    It is away from the coast 

  4. DOption (d)

    Rain bearing clouds are absent

View answer & explanation

Correct answer

Answer: (a)A.

It is a rain shadow area

Why this answer is correct

  • Deccan Plateau receives scanty rainfall because it is a rain shadow area.
  • Rain shadow areas are generally barricaded by mountain ranges and therefore, receive less precipitation.

Question 38

Which one of the following is not a type of coal?

  1. AOption (a)

    Anthracite

  2. BOption (b)

    Lignite

  3. COption (c)

    Peat

  4. DOption (d)

    Siderite

View answer & explanation

Correct answer

Answer: (d)D.

Siderite

Why this answer is correct

Siderite is not a type of coal. Siderite is a mineral composed of iron (II) carbonate (FeCO3). Anthracite, lignite and peat are the different kinds of coal.

Question 39

In 2017 Australian Open, Serena Williams defeated her sister Venus Williams to win the ______ Grand Slam Singles title of her career.

  1. AOption (a)

    23rd

  2. BOption (b)

    18th

  3. COption (c)

    26th

  4. DOption (d)

    20th

View answer & explanation

Correct answer

Answer: (a)A.

23rd

Why this answer is correct

In 2017 Australian Open, Serena Williams defeated her sister Venus Williams to win the 23rd Grand Slam Singles title of her career.

Question 40

Which Indian state hosted the 3 days long 'International Yoga Fest' held from 8th to 10th March, 2017?

  1. AOption (a)

    Uttar Pradesh

  2. BOption (b)

    Madhya Pradesh

  3. COption (c)

    Maharashtra

  4. DOption (d)

    Delhi

View answer & explanation

Correct answer

Answer: (d)D.

Delhi

Why this answer is correct

Delhi hosted the 3 days long 'International Yoga Fest' held from 8th to 10th March, 2017. It was attended by more than 3500 people around the world.

Question 41

Fog, clouds, mist are examples of _______.

  1. AOption (a)

    Aerosol

  2. BOption (b)

    Solid sol

  3. COption (c)

    Foam

  4. DOption (d)

    Gel

View answer & explanation

Correct answer

Answer: (a)A.

Aerosol

Why this answer is correct

Fog, clouds, mist are examples of aerosol. An aerosol is a colloid of fine solid particles or liquid droplets, in air or another gas.

Question 42

In which of the following part of the cell does the pyruvic acid is broken down into carbon dioxide, water and energy?

  1. AOption (a)

    Cytoplasm

  2. BOption (b)

    Nucleus

  3. COption (c)

    Mitochondria

  4. DOption (d)

    Chloroplast

View answer & explanation

Correct answer

Answer: (c)C.

Mitochondria

Why this answer is correct

The pyruvic acid is broken down into carbon dioxide, water and energy in the mitochondria. This provides energy to the cell to perform its functions and is called ‘power house of a cell’.

Question 43

What is plant cell wall mainly composed of?

  1. AOption (a)

    Lipids

  2. BOption (b)

    Vitamin

  3. COption (c)

    Cellulose

  4. DOption (d)

    Protein

View answer & explanation

Correct answer

Answer: (c)C.

Cellulose

Why this answer is correct

  • The plant Cell wall is mainly composed of Cellulose.
  • Cellulose is a specialized sugar that is classified as a structural carbohydrate and not used for energy.

Question 44

After which five year plan, 'The Rolling Plan' was implemented?

  1. AOption (a)

    Third Plan

  2. BOption (b)

    Fifth Plan

  3. COption (c)

    Seventh Plan

  4. DOption (d)

    Ninth Plan

View answer & explanation

Correct answer

Answer: (b)B.

Fifth Plan

Why this answer is correct

'The Rolling Plan' was implemented after fifth five year plan. This was a two year plan that was implemented from 1978 to 1980 was brought by the Janata Party government.

Question 45

Which of the following provision needs a special majority in Parliament?

  1. AOption (a)

    Amendment in Fundamental Rights

  2. BOption (b)

    Creation of New States

  3. COption (c)

    Abolition of Legislative Councils in State

  4. DOption (d)

    Rules and Procedures in Parliament

View answer & explanation

Correct answer

Answer: (a)A.

Amendment in Fundamental Rights

Why this answer is correct

Option 1 is correct, i.e. Amendment in Fundamental Rights.

  • Amendment in Fundamental rights can only be given effect by bringing in a Constitutional Amendment Bill.
  • Amendment in Fundamental Rights needs a special majority in Parliament.

Extra facts:

  • The Parliament can amend the constitution in three ways:
  • By simple majority.
  • By special majority.
  • By special majority but with the consent of half of all the state legislature.
  • By simple majority: A simple majority, that is, a majority of the members of the House present and voting.
  • By special majority: A special majority of the Parliament, i.e., a two-third majority of the members of each House present and voting, and a majority (that is, more than 50 percent), of the total membership of each House.
  • By special majority but with the concern of half of all the state legislature.

Question 46

Which of the following pair is INCORRECT?

I. Parsec - Distance

II. Barrel - Liquid

III. Light year – Time

  1. AOption (a)

    Only III

  2. BOption (b)

    Only I and III

  3. COption (c)

    Only II

  4. DOption (d)

    All are correct

View answer & explanation

Correct answer

Answer: (a)A.

Only III

Why this answer is correct

Parsec is used to measure distance, the barrel is used to measure liquid and a light year is a unit of astronomical distance equivalent to the distance that light travels in one year.

Key Points 

  • Parsec - Distance:
  • Parsec is a unit of distance used in astronomy. It is equivalent to about 3.26 light-years, or approximately 3.086 × 10¹³ kilometers. It measures the distance at which one astronomical unit subtends an angle of one arcsecond.
  • Correct: A parsec is a measure of distance, so this pair is correct.
  • Barrel - Liquid:
  • A barrel is a unit of volume, commonly used to measure liquids like oil. For example, in the oil industry, one barrel is typically equal to 42 U.S. gallons or about 159 liters.
  • Correct: Since a barrel measures liquid volume, this pair is correct.
  • Light year – Time:
  • A light-year is a unit of distance, not time. It represents the distance that light travels in a vacuum in one year, which is approximately 9.46 trillion kilometers (5.88 trillion miles).
  • Incorrect: A light-year measures distance, not time, so this pair is incorrect.

Question 47

Edward Jenner discovered vaccine for which of the following disease?

  1. AOption (a)

    Polio

  2. BOption (b)

    Tuberculosis

  3. COption (c)

    Small Pox

  4. DOption (d)

    Rabies

View answer & explanation

Correct answer

Answer: (c)C.

Small Pox

Why this answer is correct

Edward Jenner discovered vaccine for small pox in 1796. It is also considered to be the first vaccine ever. 

Question 48

What is the SI unit of Power?

  1. AOption (a)

    Boyle

  2. BOption (b)

    Watt

  3. COption (c)

    Newton

  4. DOption (d)

    Pascal

View answer & explanation

Correct answer

Answer: (b)B.

Watt

Why this answer is correct

SI unit of power is watt which is equal to one joule per second. Newton and Pascal are the SI units of force and pressure respectively.

Question 49

Which article was referred to as the 'the heart and soul' of the constitution by Dr. B. R. Ambedkar?

  1. AOption (a)

    Article 4

  2. BOption (b)

    Article 32

  3. COption (c)

    Article 28

  4. DOption (d)

    Article 30

View answer & explanation

Correct answer

Answer: (b)B.

Article 32

Why this answer is correct

Option 2 is correct, i.e. Article 32.

  • Article 32  of the Indian Constitution has been described as the ‘heart and soul’ of the Indian Constitution by Dr. B. R. Ambedkar.
  • It gives a citizen the right to approach the Supreme Court to get resorted any of the fundamental rights in case of their violation.
  • It is also known as; Right to Constitutional Remedies.
ArticleConsists of
Article 32Right to move the Supreme court for the enforcement of fundamental rights including the writs. - habeas corpus - mandamus - prohibition - certiorari - quo warranto
  • Habeas Corpus: This writ is issued to produce a person who has been detained whether in prison or in private custody, before a court and to release him if such detention is found illegal.
  • Mandamus: The writ of command is issued by supreme or high court when any government, court, corporation, or any public authority has to do a public duty but fails to do so.
  • Prohibition: It is a writ issued with a view to restraining a person from holding a public office to which he is not entitled.
  • Certiorari: The writ of certiorari can be issued by the supreme or high court for quashing the order already passed by an inferior court, tribunal or quasi-judicial authority.
  • Quo-Warranto: The writ of quo-warranto can be issued by the supreme or high court for asking of by what authority or warrant. It is issued by the court to enquire into the legality of a claim of a person to a public office.

Question 50

Who was awarded with the Filmfare Lifetime Achievement Award for the year 2017?

  1. AOption (a)

    Yash Chopra

  2. BOption (b)

    Kamini Kaushal

  3. COption (c)

    Shatrughan Sinha

  4. DOption (d)

    Moushumi Chatterjee

View answer & explanation

Correct answer

Answer: (c)C.

Shatrughan Sinha

Why this answer is correct

Shatrughan Sinha was awarded with the Filmfare Lifetime Achievement Award for the year 2017. Moushumi Chatterjee was awarded the same award in 2016. 

Quantitative Aptitude (25 questions)

Question 51

For what value of X, 211X will be a perfect square?

  1. AOption (a)

    4

  2. BOption (b)

    5

  3. COption (c)

    6

  4. DOption (d)

    9

View answer & explanation

Correct answer

Answer: (c)C.

6

Why this answer is correct

We should check the options

For X = 4

⇒ 2114 which is not a perfect square

For X = 5

⇒ 2115, which is not a perfect square

For X = 6

⇒ 2116 = 462, which is a perfect square

For X = 9

⇒ 2119, which is not a perfect square

∴ For X = 6, it is a perfect square

Question 52

In the given figure ST || RP, then what is the value (in degree) of supplementary angle of y?

  1. AOption (a)

    10

  2. BOption (b)

    60

  3. COption (c)

    100

  4. DOption (d)

    170

View answer & explanation

Correct answer

Answer: (c)C.

100

Why this answer is correct

Calculation:

Using angle sum property in triangle PQR

⇒ 3x + 2x + 4x = 180

⇒ 9x = 180

⇒ x = 20

Let the point where PQ intersects TS be A

∠(QAS) = ∠(RPQ) (∵ PR || TS)

Using angle sum property in triangle QSA

⇒ 3x + y + 2x = 180

⇒ y = 180 - 5x

⇒ y = 180 - 100 = 80

Supplementary of y = 180 - 80 = 100

∴ The measure of supplementary of y is 100.

Question 53

ΔPQR has sides PQ and PR measuring 983 and 893 units respectively. How many such triangles are possible with all integral sides?

  1. AOption (a)

    1876

  2. BOption (b)

    90

  3. COption (c)

    1785

  4. DOption (d)

    1786

View answer & explanation

Correct answer

Answer: (c)C.

1785

Why this answer is correct

For a triangle with sides a, b and c, according to the triangle inequality,

⇒ a + b > c, b + c > a, c + a > b

Let a = 983 and b = 893

Now, a + b > c

⇒ 983 + 893 > c

⇒ c < 1876

Also, b + c > a

⇒ c > a - b

⇒ c > 983 - 893

⇒ c > 90

Hence, we get,

⇒ c = 91, 92, …., 1875

∴ No. of triangles possible = 1875 - 90 = 1785

Direction: The pie chart given below shows the runs scored by a player against 6 different countries. The total runs scored by the player against these countries are 1600.

Question 54

How many runs has the player scored against Pakistan?

  1. AOption (a)

    272

  2. BOption (b)

    192

  3. COption (c)

    256

  4. DOption (d)

    144

View answer & explanation

Correct answer

Answer: (b)B.

192

Why this answer is correct

Runs scored against Pakistan can be given as 12% of 1600 = 12 × 1600/100 = 192

∴ Runs scored against Pakistan are 192

Question 55

The difference between the runs scored against England and Pakistan is same as the difference between which of the following two countries?

  1. AOption (a)

    South Africa and Sri Lanka

  2. BOption (b)

    South Africa and New Zealand

  3. COption (c)

    Australia and Sri Lanka

  4. DOption (d)

    Australia and New Zealand

View answer & explanation

Correct answer

Answer: (d)D.

Australia and New Zealand

Why this answer is correct

Difference between the runs scored against England and Pakistan = 21% - 12% = 9%

Which is same as that of Australia and New Zealand = 25% - 16% = 9%

∴ The answer is Australia and New Zealand

Question 56

If a = 73, b = 74 and c = 75, then what is the value of a3 + b3 + c3 - 3abc?

  1. AOption (a)

    365

  2. BOption (b)

    444

  3. COption (c)

    666

  4. DOption (d)

    999

View answer & explanation

Correct answer

Answer: (c)C.

666

Why this answer is correct

Since we know that a3 + b3 + c3 - 3abc = (a + b + c)(a2 + b2 + c2 - ab - bc - ca)

Put the value of a, b and c

 ⇒ a3 + b3 + c3 - 3abc = (73 + 74 + 75)(732 + 742 + 752 - 73 × 74 - 74 × 75 - 75 × 73)

⇒ a3 + b3 + c3 - 3abc = (222) × (5329 + 5476 + 5625 - 5402 - 5550 - 5475)

⇒ a3 + b3 + c3 - 3abc = 222 × 3 = 666

∴ the value of a3 + b3 + c3 - 3abc is 666

 

Alternate MethodWe know that a3 + b3 + c3 - 3abc = (a + b + c)(a2 + b2 + c2 - ab - bc - ca)

Multiplying both the sides by 2, we get

2(a3 + b3 + c3 - 3abc) = 2(a + b + c)(a2 + b2 + c2 - ab - bc - ca)

⇒ 2(a3 + b3 + c3 - 3abc) = (a + b + c)(2a2 + 2b2 + 2c2 - 2ab - 2bc - 2ca)

⇒ 2(a3 + b3 + c3 - 3abc) = (a + b + c) [(a - b)2 + (b - c)2 + (c - a)2]

⇒ 2(a3 + b3 + c3 - 3abc) = (73 + 74 + 75) [(73 - 74)2 + (74 - 75)2 + (75 - 73)2]

⇒ 2(a3 + b3 + c3 - 3abc) = (222) × (1 + 1 + 4)

⇒ (a3 + b3 + c3 - 3abc) = (1/2) × (222) × (1 + 1 + 4)

⇒ (a3 + b3 + c3 - 3abc) = 111 × 6 = 666

Question 57

What is the difference in runs scored by the player against Australia and Sri Lanka?

  1. AOption (a)

    256

  2. BOption (b)

    128

  3. COption (c)

    114

  4. DOption (d)

    80

View answer & explanation

Correct answer

Answer: (a)A.

256

Why this answer is correct

Difference between the runs scored against Australia and Sri Lanka = 25% - 9% = 16%

Difference between the runs scored against Australia and Sri Lanka = 16% of 1600 = 256

∴ The difference in the runs scored against Australia and Sri Lanka is 256 runs

Question 58

Difference between the total runs scored against Australia and New Zealand and the total runs scored against Sri Lanka and Pakistan make what sectorial angle (in degrees) in the pie chart?

  1. AOption (a)

    90

  2. BOption (b)

    144

  3. COption (c)

    36

  4. DOption (d)

    72

View answer & explanation

Correct answer

Answer: (d)D.

72

Why this answer is correct

Total Runs scored by Australia and New Zealand = 25% + 16% = 41%

Total Runs scored by Sri Lanka and Pakistan = 12% + 9% = 21%

Difference Between them is 41% - 21% = 20%

Angle can be given as

⇒ 20 × 360/100 = 72

∴ The angle subtended by sector is 72

Question 59

If the cost price of 48 articles is equal to the selling price of 32 articles, then what is the profit percentage?

  1. AOption (a)

    20

  2. BOption (b)

    25

  3. COption (c)

    50

  4. DOption (d)

    75

View answer & explanation

Correct answer

Answer: (c)C.

50

Why this answer is correct

Let the cost price be Rs. y and selling price be Rs. Z

According to the problem statement

⇒ 48y = 32z

⇒ y = 2z/3       ----(i)

Profit can be given as = selling price - cost price

= z - y Now using (i)

Profit = z - 2z/3 = z/3

⇒ Profit percentage can be given as = (z/3) × 100/(2z/3) = 50%

∴ The profit percentage is 50%

Question 60

The marked price of an article is 40% more than its cost price. If 15% discount is given on the marked price, then what will be the profit percentage?

  1. AOption (a)

    25

  2. BOption (b)

    15

  3. COption (c)

    21

  4. DOption (d)

    19

View answer & explanation

Correct answer

Answer: (d)D.

19

Why this answer is correct

Let the cost price of the article be Rs. y

According to the problem statement

Marked price can be given as y(1 + 40/100) = 1.4y

Now the 15% discount on the marked price = 1.4y(1 - 15/100)= 1.19y

Profit can be given as = 1.19y - y = 0.19y

⇒ Profit percentage =0.19y × 100/y = 19%

∴ Profit percentage = 19%

Question 61

The average of 8 consecutive natural numbers is 38.5. What is the largest of these 8 numbers?

  1. AOption (a)

    41

  2. BOption (b)

    39

  3. COption (c)

    42

  4. DOption (d)

    45

View answer & explanation

Correct answer

Answer: (c)C.

42

Why this answer is correct

Let the number’s be x, x + 1, x + 2, x + 3, x + 4, x + 5, x + 6 and x + 7

Their average can be written as

⇒ (x + x + 1 + x + 2 + x + 3 + x + 4 + x + 5 + x + 6 + x + 7)/8 = 38.5

⇒ 8x + 28 = 308

⇒ x = 35

∴ The largest number is x + 7 = 35 + 7 = 42

Question 62

2 men or 3 women can complete a job in 96 days. Then 6 men and 7 women will complete the same job in how many days?

  1. AOption (a)

    18

  2. BOption (b)

    27

  3. COption (c)

    20

  4. DOption (d)

    24

View answer & explanation

Correct answer

Answer: (a)A.

18

Why this answer is correct

Let the number of days required by them to do the job is y days’

Work done by a man in 1 day is given as = 1/(2 × 96)

Work done by a woman in 1 day is given as = 1/(3 × 96)

From the problem’s statement

⇒ (6y)/( 2 ×96) + (7y)/( 3 ×96) = 1

⇒ y = 18

∴ The number of days required are 18 days

Question 63

After deducting 12% from a certain sum and then deducting 25% from the remainder, 2508 is left, then what is the initial sum?

  1. AOption (a)

    3500

  2. BOption (b)

    3450

  3. COption (c)

    3970

  4. DOption (d)

    3800

View answer & explanation

Correct answer

Answer: (d)D.

3800

Why this answer is correct

Let the initial sum be y

According to the problem statement

⇒ y(1 - 12/100)(1 - 25/100) = 2508

⇒ y × 0.88 × 0.75 = 2508

⇒ y = 3800

∴ The value of initial sum is 3800

Question 64

Two trains are moving in the opposite direction at speed of 30 km/hr and 45 km/hr respectively, whose lengths are 450 m and 550 m respectively. What is the time taken (in seconds) by slower train to cross the faster train?

  1. AOption (a)

    48

  2. BOption (b)

    54

  3. COption (c)

    62

  4. DOption (d)

    72

View answer & explanation

Correct answer

Answer: (a)A.

48

Why this answer is correct

Their relative speed = 30 + 45 = 75 km/hr.

To convert it into m/s multiply it with 5/18

⇒ 75 × 5/18 = 125/6 m/s

Now the total distance to be travelled = 450 + 550 = 1000m

Time required by slower train to cross faster is = 1000/(125/6) = 1000 × 6/125 = 48s

∴ The time required by small train to cross the faster train is 48s

Question 65

If x - (1/x) = 3, then what is the value of (2x4 + 3x3 + 13x2 - 3x + 2)/(3x4 + 3)?

  1. AOption (a)

    1/3

  2. BOption (b)

    2/3

  3. COption (c)

    4/3

  4. DOption (d)

    5/3

View answer & explanation

Correct answer

Answer: (c)C.

4/3

Why this answer is correct

Given, x - 1/x = 3

Squaring both sides,

⇒ (x - 1/x)2 = 32

⇒ x2 + 1/x2 - 2 = 9

⇒ x2 + 1/x2 = 11

Now, we can write,

⇒ (2x4 + 2) = 2x2(x2 + 1/x2) = 2x2(11) = 22x2

⇒ (3x3 - 3x) = 3x2(x - 1/x) = 3x2(3) = 9x2

⇒ (3x4 + 3) = 3x2(x2 + 1/x2) = 3x2(11) = 33x2

Hence,

(2x4 + 3x3 + 13x2 - 3x + 2) / (3x4 + 3)

= (22x2 + 9x2 + 13x2)/33x2

= 44x2/33x2

= 44/33

= 4/3

Question 66

If x2 + (1/x2) = 31/9 and x > 0, then what is the value of x3 + (1/x3)?

  1. AOption (a)

    70/9

  2. BOption (b)

    154/27

  3. COption (c)

    349/27

  4. DOption (d)

    349/7

View answer & explanation

Correct answer

Answer: (b)B.

154/27

Why this answer is correct

Given x2 + (1/x2) = 31/9, add 2 to both sides

⇒ x2 + (1/x2) + 2 = 31/9 + 2

⇒(x + 1/x)2 = 72/32

⇒ x + 1/x = 7/3       ----(i), Cube both sides

⇒(x + 1/x)3 = (7/3)3

⇒ x3 + 1/x3 + 3(1 + 1/x) = 343/27 Using (i)

⇒ x3 + 1/x3 + 3 × 7/3 = 343/27

⇒ x3 + 1/x3 = 343/27 - 7 = 154/27

∴ The value of x3 + 1/x3 is 154/27

Question 67

What is the value of x2−5x+6x2−3x+2÷x2−7x+12x2−5x+4\frac{{{x^2} - 5x + 6}}{{{x^2} - 3x + 2}} \div \frac{{{x^2} - 7x + 12}}{{{x^2} - 5x + 4}}?

  1. AOption (a)

    1

  2. BOption (b)

    2

  3. COption (c)

    (x - 2)/(x - 1)

  4. DOption (d)

    x + 3)/(x + 1)

View answer & explanation

Correct answer

Answer: (a)A.

1

Why this answer is correct

To find the value of required expression put x = 0, expression reduces to

⇒ (6/2)/(12/4)

⇒ 1

∴ the value of the given expression is 1

Question 68

What is the simplified value of sec6 A - tan6 A - 3 sec2 A tan2 A?

  1. AOption (a)

    -1

  2. BOption (b)

    0

  3. COption (c)

    1

  4. DOption (d)

    sec A tan A

View answer & explanation

Correct answer

Answer: (c)C.

1

Why this answer is correct

Put A = 0

And we know that sec (0) = 1 and tan (0) = 0

⇒ sec6 A - tan6 A - 3 sec2 A tan2 A = 1 - 0 - 3 × 1 × 0 = 1

∴ the value of sec6 A - tan6 A - 3 sec2 A tan2 A is 1

Question 69

A person lent certain sum of money at 10% per annum simple interest. In 20 years the interest amounted to Rs 500 more than the sum lent. What was the sum lent (in Rs)?

  1. AOption (a)

    200

  2. BOption (b)

    500

  3. COption (c)

    1000

  4. DOption (d)

    250

View answer & explanation

Correct answer

Answer: (b)B.

500

Why this answer is correct

Given:

Rate = 10%

Formula used:

SI =(PRT)/100

Calculation:

Let the amount lent be Rs. y

According to the problem statement

⇒  500 + y = (y × 10 × 20)/100

⇒  500 = 2y - y

⇒ y = 500

∴ The sum lent is Rs. 500

Confusion Points

In the question it is given that the interest is 500 more than the sum lent.

Interest = Sum + 500

Question 70

Three partners A, B and C share profit such that three times the share of A is equal to two times the share of B and equal to 12 times the share of C. What is the ratio of the profits of A, B and C respectively

  1. AOption (a)

    3 : 2 : 12

  2. BOption (b)

    12 : 2 : 3

  3. COption (c)

    4 : 6 : 1

  4. DOption (d)

    1 : 6 : 4

View answer & explanation

Correct answer

Answer: (c)C.

4 : 6 : 1

Why this answer is correct

Let the share of A, B and C be x, y and z respectively

According to the problem statement

⇒ 3x = 2y

⇒ 3x/2 = y       ----(i)

Now,

⇒ 3x = 12z

⇒ x/4 = z        ----(ii)

Now the ratio of their profit will be same as that of their investment

⇒ x : y : z,

Now using (i) and (ii)

⇒ x : 3x/2 : x/4

⇒ 4 : 6 : 1

∴ The required ratio is 4 : 6 : 1

Question 71

In the given figure, TB passes through centre O. What is the radius of the circle?

  1. AOption (a)

    (2√5)/3

  2. BOption (b)

    (3√2)/5

  3. COption (c)

    (3√5)/2

  4. DOption (d)

    (2√3)/5

View answer & explanation

Correct answer

Answer: (c)C.

(3√5)/2

Why this answer is correct

From the property of circle we know that

⇒ TP2 = AP × (PB)

⇒ 4(x + 4) = 62 = 36

⇒ x = 5      ----(i)

Now join TA, in triangle TAP, using Pythagoras theorem since ∠TAP is 90

⇒ TP2 = TA2 + PA2

⇒ TA = √(62 - 42)

⇒ TA = 2√5      ----(ii)

In triangle TAB, using Pythagoras theorem since ∠TAB is 90

⇒ TB2 = TA2 + BA2 Using (i) and (ii)

⇒ TB = 2 ×radius = √(2√52 + 52) = 3√5

⇒ radius = (3√5)/2

∴ The radius of the circle is (3√5)/2

Question 72

If the radius of the cylinder is decreased by 20%, then by how much percent the height must be increased, so that the volume of the cylinder remains same?

  1. AOption (a)

    20

  2. BOption (b)

    36.25

  3. COption (c)

    56.25

  4. DOption (d)

    65

View answer & explanation

Correct answer

Answer: (c)C.

56.25

Why this answer is correct

Let the initial radius be r and height be 100 and final height be h

Final radius can be written as = r(1 - 20/100)

Final radius is 0.8r

Since we know that the volume remains same

⇒ initial volume = final volume

⇒ πr2 × 100 = π(0.8r)2h

⇒ 100/0.64 = h

⇒ h = 156.25

Increase in height = 156.25 - 100 = 56.25

∴ Percentage increase in height is 56.25%

Question 73

What is the simplified value of (cosec A - sin A)(sec A - cos A)(tan A + cot A)?

  1. AOption (a)

    -1

  2. BOption (b)

    0

  3. COption (c)

    1

  4. DOption (d)

    2

View answer & explanation

Correct answer

Answer: (c)C.

1

Why this answer is correct

(cosec A - sin A)(sec A - cos A)(tan A + cot A)

⇒ (1 - sin2θ)(1 - cos2θ)(1 + cot2θ)/ sinθ × cosθ × cotθ 

⇒ cos2θ ×  sin2θ × cosec2θ/ sinθ × cosθ × cotθ 

⇒ 1

Question 74

In the given figure, PQR is a triangle in which, PQ = 24 cm, PR = 12 cm and altitude PS = 8 cm. If PT is the diameter of the circumcircle, what will be the length (in cm) of the circum-radius?

  1. AOption (a)

    15

  2. BOption (b)

    18

  3. COption (c)

    20

  4. DOption (d)

    21

View answer & explanation

Correct answer

Answer: (b)B.

18

Why this answer is correct

Given:

PQ = 24 cm

PR = 12 cm

PS = 8 cm

Formula Used:

Circumradius = abc4(Area of Triangle)\frac{abc}{4(Area\ of\ Triangle)}

Where a,b and c are the sides of the triangle

Calculation:

In ΔPQR,

Height = PS = 8 cm

Base = QR = x cm

Area of ΔPQR = (1/2) × (x) × 8 = 4x

Circumradius = PQ×PR×QR4(Area of Triangle)\frac{PQ\times PR\times QR}{4(Area\ of\ Triangle)}

⇒ Circumradius = 24×12×x4(4x)\frac{24\times 12\times x}{4(4x)}

⇒ Circumradius = 18 cm

Question 75

What is the simplified value of (cos4 A - sin4A)?

  1. AOption (a)

    0

  2. BOption (b)

    2 cos 2A

  3. COption (c)

    cos 2A

  4. DOption (d)

    1

View answer & explanation

Correct answer

Answer: (c)C.

cos 2A

Why this answer is correct

Given expression (cos4 A - sin4 A) can be written as (cos2 A - sin2 A) (cos2 A + sin2 A)

Since we know that cos2 A + sin2 A = 1 and cos2 A - sin2 A = cos 2A

⇒ (cos4 A - sin4 A) = cos 2A × 1

∴ the value of cos4 A - sin4 A is cos 2A

English Comprehension (25 questions)

Question 76

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

That which is away from a center

  1. AOption (a)

    Eccentric

  2. BOption (b)

    Eclectic

  3. COption (c)

    Ellipsis

  4. DOption (d)

    Equine

View answer & explanation

Correct answer

Answer: (a)A.

Eccentric

Why this answer is correct

The correct answer is: Option 1.

Key Points

  • The word "Eccentric" means something that is unconventional and slightly strange; it can also refer to something that is away from the center. (अप्राकृतिक)
  • Example: His eccentric behavior often puzzled his colleagues.
  • "Eclectic" refers to deriving ideas, style, or taste from a broad and diverse range of sources. (विविध स्रोतों से चुना हुआ)
  • Example: Her eclectic taste in music includes everything from classical to hip-hop.
  • "Ellipsis" is a series of dots that usually indicates an intentional omission of a word, sentence, or whole section from a text without altering its original meaning. (बहिर्निक्षेप)
  • Example: The ellipsis in his speech indicated that he had more to say but chose not to elaborate.
  • "Equine" relates to horses or other members of the horse family. (अश्व संबंधी)
  • Example: The veterinarian specialized in equine medicine.

Therefore, the correct answer is: Option 1.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

  • Eclectic (विविध स्रोतों से चुना हुआ): Deriving ideas, style, or taste from a broad and diverse range of sources.
  • Example: Her eclectic taste in music includes everything from classical to hip-hop.
  • Ellipsis (बहिर्निक्षेप): A series of dots that usually indicates an intentional omission of a word, sentence, or whole section from a text without altering its original meaning.
  • Example: The ellipsis in his speech indicated that he had more to say but chose not to elaborate.
  • Equine (अश्व संबंधी): Relates to horses or other members of the horse family.
  • Example: The veterinarian specialized in equine medicine.

Question 77

The question below consists of a set of labelled sentences. Out of the four options given, select the most logical order of the sentences to form a coherent paragraph. 

P- Epistemological idealists (such as Kant) might insist that the only things which can be directly known for certain are ideas.  

Q- The approach to idealism by Western philosophers has been different to that of Eastern thinkers. 

R- In much of Western thought (though not in such major Western thinkers as Plato and Hegel) the ideal relates to direct knowledge of subjective mental ideas, or images. 

S- It is then usually juxtaposed with realism in which the real is said to have an absolute existence prior to and independent of our knowledge.

  1. AOption (a)

    RQPS

  2. BOption (b)

    PQSR

  3. COption (c)

    PRQS

  4. DOption (d)

    QRSP

View answer & explanation

Correct answer

Answer: (d)D.

QRSP

Why this answer is correct

The given para-jumbled sentence is based on the topic of idealism by western philosophers. Therefore, the first statement should be Q which introduces the topic. The second statement R, it has continued to what the first statement has said. The third statement is developing the topic even more by elaborating what the topic is conveying.The last statement culminates the topic by giving a valid example.The correct option is option 4.

Question 78

In the following question, a sentence has been given in Active/Passive voice. Out of the four alternatives suggested, select the one which best expresses the same sentence in Passive/Active voice. 

Karnataka grows coffee

  1. AOption (a)

    Coffee is being grown in Karnataka.

  2. BOption (b)

    Coffee grown in Karnataka.

  3. COption (c)

    Coffee is grown in Karnataka.

  4. DOption (d)

    Let the coffee be grown in Karnataka.

View answer & explanation

Correct answer

Answer: (c)C.

Coffee is grown in Karnataka.

Why this answer is correct

The sentence is in simple present tense. The rule to convert it in passive voice is Object(coffee) + is/are/am +V3 (grown) +preposition(in) + subject(Karnataka).From this rule, the correct transformation should be Coffee is grown in Karnataka.the correct option is option 3.

Question 79

In the following question, a sentence has been given in Direct/Indirect speech. Out of the four alternatives suggested, select the one which best expresses the same sentence in Indirect/Direct speech. 

Gopal's mother reminded him to take his wallet.

  1. AOption (a)

    “Are you going to take your wallet or not?” said Gopal to his mother.

  2. BOption (b)

    “Don't forget to take your wallet, Gopal” said his mother.

  3. COption (c)

    Gopal's mother said, “Remember your wallet, Gopal?

  4. DOption (d)

    “Here is your wallet Gopal” said his mother.

View answer & explanation

Correct answer

Answer: (b)B.

“Don't forget to take your wallet, Gopal” said his mother.

Why this answer is correct

The correct answer is '“Don't forget to take your wallet, Gopal” said his mother.'

Key Points 

  • The direct speech equivalent of "Gopal's mother reminded him to take his wallet" involves a form of address where the mother is directly speaking to Gopal about not forgetting his wallet.
  • The option uses an imperative sentence, ("Don't forget"), which is fitting for a reminder.
  • The direct address, "Gopal," correctly places this as a communication between Gopal and his mother, aligning with the original sentence structure.
  • This choice naturally translates the indirect reminder into direct speech without altering the original message or tone.
  • The inclusion of "said his mother" after the quote maintains the attribution to Gopal's mother, preserving the context.
  • It directly captures the essence of a reminder through the use of an imperative form, which is often used in direct speech for such purposes.

Therefore, the correct answer is 'Option 2'.

Additional Information

  • Option 1 misrepresents the nature of the reminder as a question about intention, rather than a reminder.
  • Option 3 incorrectly formats the direct speech as a question, altering the intended reminder nature of the sentence.
  • Option 4 suggests the mother is handing the wallet to Gopal, rather than reminding him, which changes the original meaning.

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

Organization are institutions in which members compete for status and _____. They _____ for the resources of the organization, for example, _____ to expand their own departments, for _____ advancement and for power to _____ the activities of others.

Question 80

Organization are institutions in which members compete for status and _____.

  1. AOption (a)

    growth

  2. BOption (b)

    money

  3. COption (c)

    power

  4. DOption (d)

    success

View answer & explanation

Correct answer

Answer: (c)C.

power

Why this answer is correct

From the given options, all them can be correct as all of them are appropriately meaningful to the context. Here, common knowledge should be well-applied. In today's world, the thirst for power has passed all barriers and people crave for it. Therefore, the most appropriate option here should be option 3.

Question 81

They _____ for the resources

  1. AOption (a)

    compete

  2. BOption (b)

    expand

  3. COption (c)

    rely

  4. DOption (d)

    run

View answer & explanation

Correct answer

Answer: (a)A.

compete

Why this answer is correct

Option 2 is entirely incorrect because it would make the sentence meaningless. Option 3 would make the sentence grammatically incorrect. Option 4 makes the sentence different from the context and therefore, eliminated. The correct option is option 1.

Question 82

Improve the bracketed part of the sentence. 

If (you will approach) her sincerely, she will listen to your problem definitely.

  1. AOption (a)

    you approach

  2. BOption (b)

    you are approaching

  3. COption (c)

    you will be approaching

  4. DOption (d)

    No improvement

View answer & explanation

Correct answer

Answer: (a)A.

you approach

Why this answer is correct

This is a conditional sentence with a possible condition and its probable result. These sentences are based on facts and are used to make statements about the real world. The zero conditional uses if or when and must be followed by the simple present or imperative.

The correct option is option 1.

Question 83

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

Rise like a phoenix

  1. AOption (a)

    Something memorable

  2. BOption (b)

    Time to answer for one's action

  3. COption (c)

    To become successful again

  4. DOption (d)

    To make people happy

View answer & explanation

Correct answer

Answer: (c)C.

To become successful again

Why this answer is correct

To become successful again “Rise like a phoenix” is a phrase which means to emerge renewed after apparent disaster or destruction. Option 3 best matches with the meaning. In a sentence, this phrase can be used as-"After his catastrophic defeat in Melbourne, he rose like a phoenix".The correct option is option 3.

Question 84

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

One who values practicality

  1. AOption (a)

    Apotheosis

  2. BOption (b)

    Pliable

  3. COption (c)

    Pragmatist

  4. DOption (d)

    Realist

View answer & explanation

Correct answer

Answer: (c)C.

Pragmatist

Why this answer is correct

Apotheosis means the highest point in the development of something; a culmination or climax. Pliable means easily bent; flexible. Pragmatist means a person who is guided more by practical considerations than by ideals. Realist means a person who accepts a situation as it is and is prepared to deal with it accordingly. Therefore, the correct option is option 3.

Question 85

of the organization, for example, _____ to expand

  1. AOption (a)

    finance

  2. BOption (b)

    infrastructure

  3. COption (c)

    resources

  4. DOption (d)

    source

View answer & explanation

Correct answer

Answer: (a)A.

finance

Why this answer is correct

Options 3 and 4 cannot be used in the blank because in the sentence containing this blank, they are already used and this blank needs an example, a specific term. For a company to expand, the most important resource is finance through which one can easily find infrastructure too. Hence, the appropriate option is option 1.

Question 86

The question below consists of a set of labelled sentences. Out of the four options given, select the most logical order of the sentences to form a coherent paragraph. 

P- A sensitive mind easily absorbs the vibrations emanating from the thought of the people it associates with.

Q- We often say that a person is known by the company he keeps.  

R- The violent can be made calm by exuding thought of love and compassion.  

S- Visits to holy places are considered good because the good thoughts of the holy people gathered there and the ensuing vibrations definitely affect one in a positive fashion.

  1. AOption (a)

    RQPS

  2. BOption (b)

    QRSP

  3. COption (c)

    PQRS

  4. DOption (d)

    SRQP

View answer & explanation

Correct answer

Answer: (a)A.

RQPS

Why this answer is correct

From the given para-jumbled sentences, one can easily make out that the passage is all about the perception of people and their behaviour. The first statement starts with the example of behaviour change which is good enough to introduce the topic. Then statement Q followed by statement P should be used as they develop and elaborate on the topic. The culminating sentence would then be S which is appropriate as it ends with an example of giving a method. Hence, option 1 is correct.

Question 87

their own departments, for _____ advancement and

  1. AOption (a)

    career

  2. BOption (b)

    financial

  3. COption (c)

    regional

  4. DOption (d)

    technological

View answer & explanation

Correct answer

Answer: (a)A.

career

Why this answer is correct

In the sentence having the blank, the need for finance is already made clear. Therefore, option 2 can be easily eliminated. Regional advancement does not make sense to the context of the passage as the passage is about institutions' members and not the region in which the company is.The most appropriate filler should be option 1 as it is to the point and with respect to the context.

Question 88

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

  1. AOption (a)

    Fabulous

  2. BOption (b)

    Gorgeous

  3. COption (c)

    Heterogeneous

  4. DOption (d)

    Inocuous

View answer & explanation

Correct answer

Answer: (d)D.

Inocuous

Why this answer is correct

The correct answer is: Option 4 i.e. Inocuous.

Key Points

  • The word "Inocuous" is incorrectly spelt. The correct spelling is "Innocuous". (निर्दोष)
  • Example: The snake's bite is innocuous and not harmful to humans.
  • "Innocuous" means not harmful or offensive. (निर्दोष)
  • Example: She made an innocuous remark about the weather.

Therefore, the correct answer is: Option 4 i.e. Inocuous.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

  • Fabulous (शानदार): Extraordinary, especially extraordinarily large.
  • Example: She wore a fabulous dress to the party.
  • Gorgeous (सुंदर): Very attractive.
  • Example: The sunset view from the hilltop was simply gorgeous.
  • Heterogeneous (विविध): Diverse in character or content.
  • Example: The classroom was filled with a heterogeneous group of students from different backgrounds.

Question 89

for power to _____ the activities of others.

  1. AOption (a)

    affect

  2. BOption (b)

    control

  3. COption (c)

    curb

  4. DOption (d)

    pursue

View answer & explanation

Correct answer

Answer: (b)B.

control

Why this answer is correct

One does not need power to curb or pursue the activities of the others. The options 1 and 2 can be both used as the filler. But the most appropriate word is "control" because with power comes immense control. One possessing power may affect others along with control.The correct option is option 2.

Question 90

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

Damp squib

  1. AOption (a)

    Complete failure

  2. BOption (b)

    Complete knowledge

  3. COption (c)

    To motivate

  4. DOption (d)

    To squander money

View answer & explanation

Correct answer

Answer: (a)A.

Complete failure

Why this answer is correct

The correct answer is "Complete failure". 

Key Points

  • A "damp squib" refers to something intended to be exciting or significant but ends up being disappointingly ineffective or less impressive than expected. (निराशाजनक असफलता)
  • Example of "damp squib": The much-anticipated launch of the new product turned out to be a damp squib when the features did not meet customer expectations.
  • "Complete failure" means a situation in which something fails completely and does not achieve its intended purpose. (पूर्ण विफलता)
  • Example of Complete failure: His attempt to climb Mount Everest on his first try was a complete failure due to lack of preparation.
  • Therefore, the correct answer is- Complete failure i.e Option 1".

Additional Information

  • Complete knowledge - This means having full understanding or awareness of something.
  • To motivate - This refers to providing someone with a reason or incentive to do something.
  • To squander money - This means to waste money by spending it carelessly or extravagantly.

Question 91

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

Phlegmatic

  1. AOption (a)

    Ardent

  2. BOption (b)

    Indifferent

  3. COption (c)

    Prohibit

  4. DOption (d)

    Merciless

View answer & explanation

Correct answer

Answer: (a)A.

Ardent

Why this answer is correct

Phlegmatic means (of a person) having an unemotional and stolidly calm disposition.

Key Points

  • Indifferent means having no particular interest or sympathy; unconcerned.
  • Usage: He appeared indifferent to her suffering
  • Prohibit is to formally forbid (something) by law, rule, or other authority.
  • Usage: The rules prohibit dating a coworker.
  • Merciless means showing no mercy; ruthless.
  • Usage: He has been merciless in his criticism of his opponent

So the answer is ardent which means very enthusiastic or passionate. The correct option is 1.

Question 92

Improve the bracketed part of the sentence. 

The mobile phones have made digital cameras a little (superfluous) in today's world.

  1. AOption (a)

    extinct

  2. BOption (b)

    obsolete

  3. COption (c)

    redundancy

  4. DOption (d)

    No improvement

View answer & explanation

Correct answer

Answer: (b)B.

obsolete

Why this answer is correct

The correct answer is "Obsolete". 

Key Points

  • “Superfluous” means unnecessary or extra. It does not fit in the context of the sentence.
  • “Extinct” means no longer in existence. It does not fit in the context of the sentence.
  • “Redundant” means unnecessary or superfluous. It is a synonym of “obsolete”.
  • “Obsolete” means no longer in use or out of date. It fits in the context of the sentence.
  • Therefore, the correct answer is "Option 2".

Additional Information

  • Option 1) “extinct”: “Extinct” means no longer in existence.
  • It does not fit in the context of the sentence because digital cameras are still in existence.
  • Option 3) “redundancy”: “Redundancy” means unnecessary or superfluous.
  • It is a synonym of “obsolete”. However, “obsolete” is a more common and appropriate word to use in this context.
  • Option 4) “No improvement”: The sentence is incorrect. It should be “The mobile phones have made digital cameras obsolete in today's world”.

Question 93

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

  1. AOption (a)

    Pedestrain

  2. BOption (b)

    Plaintiff

  3. COption (c)

    Potatoes

  4. DOption (d)

    Potassium

View answer & explanation

Correct answer

Answer: (a)A.

Pedestrain

Why this answer is correct

The correct answer is: Option 1 i.e. Pedestrain.

Key Points

  • The word "Pedestrain" is incorrectly spelt. The correct spelling is "Pedestrian".
  • Pedestrain is not a valid English word.
  • "Pedestrian" means a person walking rather than traveling in a vehicle. (पैदल यात्री)
  • Example: The city has wide sidewalks to accommodate pedestrians.

Therefore, the correct answer is: Option 1 i.e. Pedestrain.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

  • Plaintiff (वादी): A person who brings a case against another in a court of law.
  • Example: The plaintiff accused the defendant of breach of contract.
  • Potatoes (आलू): A starchy plant tuber which is one of the most important food crops, cooked and eaten as a vegetable.
  • Example: She made a delicious mashed potatoes dish for dinner.
  • Potassium (पोटैशियम): A chemical element with the symbol K, essential for the proper functioning of cells.
  • Example: Bananas are a good source of potassium.

Question 94

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'.

The CEO only discussed (1)/ the new venture (2)/ with his manager. (3)/ No Error (4)

  1. AOption (a)

    1

  2. BOption (b)

    2

  3. COption (c)

    3

  4. DOption (d)

    4

View answer & explanation

Correct answer

Answer: (a)A.

1

Why this answer is correct

Here, the word “only” is misplaced. It should be placed after “discussed” to lay stress on the noun “the new venture”. After correct placement, the sentence would be deciphered as – only the new venture was discussed with the manager and nothing else. The correct option is 1.

Question 95

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

Due to the security reasons we were _____ from entering into the cockpit of the plane.

  1. AOption (a)

    denied

  2. BOption (b)

    rejected

  3. COption (c)

    stopped

  4. DOption (d)

    warned

View answer & explanation

Correct answer

Answer: (c)C.

stopped

Why this answer is correct

The correct answer is 'stopped'.

 

Key Points

  • The most appropriate word to fill in the blank is "stopped". It means to prevent or put an end to an action or behavior. (रोक देना)
  • In the context of the sentence, 'stopped' fits best as it describes an action taken by security to prevent entering the cockpit.

​Therefore, the correct answer is 'Option 3'.

Complete Sentence: Due to the security reasons we were stopped from entering into the cockpit of the plane.

Additional Information

Here are the other options explained along with their Hindi meanings and why they are less appropriate in this context:

  • Denied (इनकार किया): To refuse to give (something requested or desired) to someone. This isn't a perfect fit since it doesn't imply an action of preventing physically.
  • Rejected (अस्वीकृत): To dismiss as inadequate or inappropriate. This is not suitable because it suggests refusal in terms of acceptance rather than physical prevention.
  • Warned (चेतावनी दी): To make aware of a possible danger or problem. This word suggests caution rather than prevention of an action.

Question 96

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

Exorbitant

  1. AOption (a)

    Clear

  2. BOption (b)

    Dull

  3. COption (c)

    High

  4. DOption (d)

    Rare

View answer & explanation

Correct answer

Answer: (c)C.

High

Why this answer is correct

'Exorbitant' is an adjective that means (of a price or amount charged) unreasonably high.

Key Points

From the given options, the option most closer to the given word is option 3.

In a sentence, exorbitant can be used as- 'The real estate market nowadays has exorbitant prices'.

Additional Information

  • Clear: easy to perceive, understand, or interpret.
  • Usage: He was the clear winner.
  • Dull: lacking interest or excitement.
  • Usage: The dog's eyes dulled as he got sick
  • Rare: (of an event, situation, or condition) not occurring very often.
  • usage: He had the rare opportunity of meeting the Presiden

Question 97

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

Churlish

  1. AOption (a)

    Belittle

  2. BOption (b)

    Courteous

  3. COption (c)

    Fervent

  4. DOption (d)

    Uncouth

View answer & explanation

Correct answer

Answer: (b)B.

Courteous

Why this answer is correct

“Churlish” is an adjective that means rude in a mean-spirited and surly way.  

Belittle means to dismiss (someone or something) as unimportant. Fervent means Having or displaying a passionate intensity. Uncouth means lacking good manners, refinement, or grace. So the answer is courteous, that is, polite, respectful, or considerate in manner.

Question 98

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

Ankita is disgusted _____ the habit of her brother.

  1. AOption (a)

    at

  2. BOption (b)

    on

  3. COption (c)

    of 

  4. DOption (d)

    with

View answer & explanation

Correct answer

Answer: (d)D.

with

Why this answer is correct

The correct answer is with.

Key Points

  • Disgust: feeling or expressing revulsion or strong disapproval.
  • Example: She was disgusted with the decision.
  • Let's see the usage of different prepositions with disgust
  • disgusted (at/by somebody/something). Example: I was disgusted at/by the sight.
  • disgusted (with somebody/something/yourself) Example: I was disgusted with myself for eating so much.
  • disgusted (to see, hear, etc…) Example: He was disgusted to see such awful living conditions.
  • 'At' will be used with disgust when there is something temporary but if there is a habit or regular thing, we will prefer using 'with'. ​​​

Correct sentence: Ankita is disgusted with the habit of her brother.

Question 99

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'. 

If she had married Mr. Gupta (1)/ she would have been (2)/ recognized as Mrs. Gupta. (3)/ No Error (4)

  1. AOption (a)

    1

  2. BOption (b)

    2

  3. COption (c)

    3

  4. DOption (d)

    4

View answer & explanation

Correct answer

Answer: (d)D.

4

Why this answer is correct

From the initial part of the sentence, it is clear that the sentence is in past perfect tense.

In the case of conditional statement if the condition is given in past perfect tense then in result it will take would have +verb 3rd form which is exactly correct here.

Thus option 4 is the correct answer as the sentence has no error.

Question 100

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

Jeopardy

  1. AOption (a)

    Angry

  2. BOption (b)

    Injure

  3. COption (c)

    Risk

  4. DOption (d)

    Serene

View answer & explanation

Correct answer

Answer: (c)C.

Risk

Why this answer is correct

'Jeopardy' is a noun that means the danger of loss, harm, or failure. This best matches with option 3. The rest of the options are clearly different from what jeopardy means. In a sentence, Jeopardy may be used as-"Poaching of Rhinos have put them in real jeopardy."

100 questions in the full paper