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SSC Selection Post 2025 (Graduate Level) Official Paper (Held On: 30 Jul, 2025 Shift 3) (Previous Year Paper)

100 questions · 60 minutes · with answers · free

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General Intelligence (25 questions)

1

In this question, four sets of name and address are given out of which two are exactly same. It is required to find out these two combinations and mark the correct answer accordingly.

  1. RLO Nagpur C/O Director Accounts (Postal), PAD Compound, civil lines, nagpur- 440001
  2. RLO Nagpur C/O Director Accounts (Postal), DAP Compound, civil lines, nagpur- 440001
  3. RLO Nagpur C/O Director Accounts (Postal), DAP Compound, civil lines, nagpur- 440001
  4. RLO Nagpur C/O Director Accounts (Postal), DAP Compound, cibil lines, nagpur- 440011
  1. ((a))

    1 and 2

  2. ((b))

    1 and 3

  3. ((c))

    2 and 3

  4. ((d))

    3 and 4

Show Answer
Answer: ((a))

1 and 2

2

Each question has four options. Three of them go together based on a common idea or rule. One is different. Identify the one that is different.

  1. ((a))

    18 : 108

  2. ((b))

    23 : 138

  3. ((c))

    20 : 80

  4. ((d))

    20 : 120

Show Answer
Answer: ((a))

18 : 108

3

In a centre code system using sharded counters for analytics, if there are 16 shards and each shard handles 1000 increments/second, what is the total throughput?

  1. ((a))

    16,000 ops/sec

  2. ((b))

    1,000 ops/sec

  3. ((c))

    8,000 ops/sec

  4. ((d))

    32,000 ops/sec

Show Answer
Answer: ((a))

16,000 ops/sec

4

Three out of the following four are alike in a particular pattern and hence form a group. Find the one which does not belong to that group.

  1. ((a))

    Camouflage

  2. ((b))

    Mask

  3. ((c))

    Conceal

  4. ((d))

    Horde

Show Answer
Answer: ((a))

Camouflage

5

In the following question, select the number/symbol that will replace the question mark (?) to complete the analogy: 3 : 20 :: 7 : ?

  1. ((a))

    98

  2. ((b))

    96

  3. ((c))

    105

  4. ((d))

    100

Show Answer
Answer: ((a))

98

6

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

Precedent : Judgement :: Axiom : ?

  1. ((a))

    Hypothesis

  2. ((b))

    Proof

  3. ((c))

    Postulate

  4. ((d))

    Theorem

Show Answer
Answer: ((a))

Hypothesis

7

A man said, "The boy playing with my son is the son of my wife's sister." How is the boy related to the man?

  1. ((a))

    Son

  2. ((b))

    Nephew

  3. ((c))

    Brother

  4. ((d))

    Cousin

Show Answer
Answer: ((a))

Son

8

What will come at the place of question mark? 2, 9, 28, 65, 126, ?

  1. ((a))

    217

  2. ((b))

    218

  3. ((c))

    222

  4. ((d))

    220

Show Answer
Answer: ((a))

217

9

Here some problem or solution of the problem is given in the statement you have to choose the appropriate logical deduction for given statement.

Political Theorist: “A strong democracy cannot exist without an educated electorate.”

Which of the following would most strengthen this viewpoint?

  1. ((a))

    Illiterate populations are more prone to propaganda and vote-buying.

  2. ((b))

    Voter turnout is higher in urban regions.

  3. ((c))

    Educated people are more likely to be skeptical of political promises.

  4. ((d))

    Voting is a basic right regardless of education.

Show Answer
Answer: ((a))

Illiterate populations are more prone to propaganda and vote-buying.

10

Few of the letters are given followed by a question mark (?) these letters are following a specific pattern you have to give the correct option which can replace question mark

<br>

Find the next letter in the series: H, J, I, K, ?

  1. ((a))

    O

  2. ((b))

    N

  3. ((c))

    Q

  4. ((d))

    J

Show Answer
Answer: ((a))

O

11

Three natural numbers come one after another in sequence. If the sum of their squares equals 149, what are these numbers?

  1. ((a))

    5, 6, 7

  2. ((b))

    6, 7, 8

  3. ((c))

    7, 8, 9

  4. ((d))

    8, 9,10

Show Answer
Answer: ((a))

5, 6, 7

12

In this question some conditions or circumstances is provided to you, you have to make logical judgement according to mentioned circumstances and mark the correct.

If it's either raining or snowing, and it's not raining, what can we conclude?

  1. ((a))

    It's not snowing

  2. ((b))

    It might be snowing

  3. ((c))

    It's definitely snowing

  4. ((d))

    It was raining earlier

Show Answer
Answer: ((a))

It's not snowing

13

In this type of questions some problematic situations are provided you have to analyse the situation and give the logical correct solution for the problem.

<br>

If a pattern follows the rule y = 2x + 3 and x = 44, what is the value of y?

  1. ((a))

    91

  2. ((b))

    90

  3. ((c))

    92

  4. ((d))

    93

Show Answer
Answer: ((a))

91

14

Some of mathematical operations are given below choose the expression which is mathematically correct.

<br>

If A = 12, B = 18, and C = 24, what is the value of ((A + B) × C) mod 97?

  1. ((a))

    42

  2. ((b))

    22

  3. ((c))

    41

  4. ((d))

    30

Show Answer
Answer: ((a))

42

15

Statement: A manufacturing company faces a decision about expanding production capacity. The outcome depends heavily on future market conditions, but economists disagree about economic forecasts. Historical data provides little guidance due to changing market dynamics.

What decision-making approach is most appropriate?

  1. ((a))

    Wait until economic forecasts become more certain

  2. ((b))

    Use scenario planning to prepare for multiple possible futures

  3. ((c))

    Base the decision on the most optimistic forecast

  4. ((d))

    Expand capacity gradually regardless of forecasts

Show Answer
Answer: ((a))

Wait until economic forecasts become more certain

16

Statements:

Some pens are pencils.

No pencil is eraser.

All erasers are pink.

Conclusions:

I. Some pens are pink.

II. Some pink things are not pencils.

  1. ((a))

    Only I follows

  2. ((b))

    Only II follows

  3. ((c))

    Both I and II follow

  4. ((d))

    Neither I nor II follows

Show Answer
Answer: ((a))

Only I follows

17

In the following questions, the first word is coded using a specific pattern or letter-based transformation. Using the same logic or pattern, choose the correct code for the second word. NATION : PZWRKP :: DESIGN : ?

  1. ((a))

    FHVKIL

  2. ((b))

    FHXKIL

  3. ((c))

    FGZKIN

  4. ((d))

    FDVRCP

Show Answer
Answer: ((a))

FHVKIL

18

If "DELHI" is written as "IHLED", how will "MUMBAI" be written?

  1. ((a))

    IABMUM

  2. ((b))

    IAMBUM

  3. ((c))

    IAMUBM

  4. ((d))

    IAMUMB

Show Answer
Answer: ((a))

IABMUM

19

Which number is INCORRECT in the sequence?

0, 3, 8, 15, 24, 37

  1. ((a))

    0

  2. ((b))

    3

  3. ((c))

    24

  4. ((d))

    37

Show Answer
Answer: ((a))

0

20

Assuming that the data given in the statement are definitely true which of the following conclusions can be logically deducted from given statements.

Statement: The shopkeeper has put up a sign – “We accept digital payments only.”

Conclusions:

I. The shop does not accept cash.

II. The shopkeeper supports cashless economy.

  1. ((a))

    Only I follows

  2. ((b))

    Only II follows

  3. ((c))

    Both follow

  4. ((d))

    Neither follows

Show Answer
Answer: ((a))

Only I follows

21

Find the appropriate word that can replace the ?. Which one of the following word logically completes the series

Select the most logical sequence: A5, A4, A3, A2

  1. ((a))

    A5, A3, A4, A2

  2. ((b))

    A2, A3, A4, A5

  3. ((c))

    A4, A5, A2, A3

  4. ((d))

    A3, A5, A4, A2

Show Answer
Answer: ((a))

A5, A3, A4, A2

22

In the following questions some issues are provided to you. you have to mark the appropriate answer logically that can be taken in such circumstances

In a situation where your teammate is underperforming. What would be the most emotionally intelligent response?

  1. ((a))

    offer guidance or support

  2. ((b))

    criticize them to boss

  3. ((c))

    distance yourself

  4. ((d))

    ignore the issue

Show Answer
Answer: ((a))

offer guidance or support

23

Some social issues, problem and their solution is provided to you as a statement you have to mark the logical action that can be taken under these conditions.

You work in a customer service role, and a client calls in extremely upset about a billing error that has caused their service to be interrupted during a crucial business period. They are shouting, using profanity, and making personal attacks on your competence. You discover that the error was actually caused by a miscommunication between your company's departments, and the client has a legitimate complaint. However, your supervisor is listening to the call for quality assurance purposes, and you know that how you handle this situation will affect your performance review. The client is demanding immediate action and threatening to cancel their contract. What would be the most socially intelligent approach?

  1. ((a))

    Match the client's energy level and speak firmly to show that you won't be intimidated, then explain that their behavior is unacceptable and that you'll only help if they calm down

  2. ((b))

    Remain calm and professional, acknowledge the error and their frustration, apologize sincerely, and focus on immediate solutions while documenting the incident for future prevention

  3. ((c))

    Transfer the call to your supervisor immediately without trying to resolve the issue, since the client is too upset to deal with rationally

  4. ((d))

    Put the client on hold frequently while you figure out what to do, hoping they'll calm down during the wait times

Show Answer
Answer: ((a))

Match the client's energy level and speak firmly to show that you won't be intimidated, then explain that their behavior is unacceptable and that you'll only help if they calm down

24

some of the equations are provided below with symbols and mathematical relations you have to check which of the following combination is correct

If A ⇌ B = A3 + B3 - 3AB, find 2 ⇌ 1.

  1. ((a))

    1

  2. ((b))

    2

  3. ((c))

    3

  4. ((d))

    4

Show Answer
Answer: ((a))

1

25

Consider the word 'HEART'. Using all its letters without repetition, how many meaningful English words can you form?

  1. ((a))

    One

  2. ((b))

    Two

  3. ((c))

    Three

  4. ((d))

    More than three

Show Answer
Answer: ((a))

One

General Awareness (25 questions)

26

What is the main difference between air quality and the Air Quality Index (AQI)?

  1. ((a))

    Air quality is a measure of noise pollution, while the Air Quality Index (AQI) is an index for public awareness.

  2. ((b))

    Air quality represents absolute pollution levels, while the Air Quality Index (AQI) is an index for public awareness.

  3. ((c))

    Air quality is only measured in cities, while the Air Quality Index (AQI) is an index for public awareness.

  4. ((d))

    Air quality is used for scientific research, while the Air Quality Index (AQI) is an index for public awareness.

Show Answer
Answer: ((a))

Air quality is a measure of noise pollution, while the Air Quality Index (AQI) is an index for public awareness.

27

What is the elasticity of supply called when a proportionate change in supply is more than a proportionate change in price?

  1. ((a))

    Relatively inelastic supply

  2. ((b))

    Relatively elastic supply

  3. ((c))

    Perfectly elastic supply

  4. ((d))

    Perfectly inelastic supply

Show Answer
Answer: ((a))

Relatively inelastic supply

28

The ISRO satellite series, used mainly for meteorological and weather forecasting purposes, is:

  1. ((a))

    INSAT

  2. ((b))

    RISAT

  3. ((c))

    Cartosat

  4. ((d))

    IRNSS

Show Answer
Answer: ((a))

INSAT

29

Which government scheme aims to provide affordable and quality healthcare through a network of primary health centers and other facilities?

  1. ((a))

    Ayushman Bharat Health Infrastructure Mission (PM-ABHIM)

  2. ((b))

    Pradhan Mantri Swasthya Suraksha Yojana (PMSSY)

  3. ((c))

    National Rural Health Mission (NHM)

  4. ((d))

    Janani Shishu Suraksha Karyakram (JSSK)

Show Answer
Answer: ((a))

Ayushman Bharat Health Infrastructure Mission (PM-ABHIM)

30

A transformer works on the principle of:

  1. ((a))

    Ohm's Law

  2. ((b))

    Faraday's Law of Electromagnetic Induction

  3. ((c))

    Lenz's Law

  4. ((d))

    Conservation of Charge

Show Answer
Answer: ((a))

Ohm's Law

31

Who was the Finance Minister of India when the First Five-Year Plan was introduced?

  1. ((a))

    Morarji Desai

  2. ((b))

    C.D. Deshmukh

  3. ((c))

    T.T. Krishnamachari

  4. ((d))

    John Mathai

Show Answer
Answer: ((a))

Morarji Desai

32

Which of the following statements about nucleases and DNA polymerase I is INCORRECT?

  1. ((a))

    Exonucleases remove the nucleotides from the ends

  2. ((b))

    Endonucleases cut DNA internally

  3. ((c))

    DNA Pol I does not have a 5'-to-3' exonuclease activity

  4. ((d))

    First polymerase isolated in E. coli was DNA Pol I

Show Answer
Answer: ((a))

Exonucleases remove the nucleotides from the ends

33

Which of the following has been decriminalized as per the BNS, 2023?

  1. ((a))

    Voyeurism

  2. ((b))

    Attempt to suicide

  3. ((c))

    Domestic violence

  4. ((d))

    Cyberstalking

Show Answer
Answer: ((a))

Voyeurism

34

What is a common theme in Sattriya dance performances?

  1. ((a))

    Warfare

  2. ((b))

    Agricultural rituals

  3. ((c))

    Devotion to Krishna

  4. ((d))

    Courtly love

Show Answer
Answer: ((a))

Warfare

35

Which of the given statements is /are CORRECT?

<br>
  1. Soil erosion and deforestation over a long period may convert arable land into a wasteland.
  2. India has the largest land under plain areas as compared to Mountains and plateaus.
  3. The net sown area in India is similar in all the states, excluding the North-Eastern states.
  1. ((a))

    1 and 2 only

  2. ((b))

    2 and 3 only

  3. ((c))

    1 and 3 only

  4. ((d))

    2 only

Show Answer
Answer: ((a))

1 and 2 only

36

Which of the following states shares borders with three different countries?

  1. ((a))

    Sikkim

  2. ((b))

    Jammu & Kashmir 

  3. ((c))

    Himachal Pradesh

  4. ((d))

    Uttar Pradesh

Show Answer
Answer: ((a))

Sikkim

37

Read the below statements marked as Assertion (A) and Reason (R). Mark the correct options:

Assertion (A): Victorian Gothic buildings near Mumbai's Oval Maidan include Indian features like sloping tiled roofs and verandas.

Reason (R): They were built using local basalt and Porbandar limestone, allowing integration of climate-suited features with Gothic style.

  1. ((a))

    Both A and R are correct, and R explains A

  2. ((b))

    Both A and R are correct, but R does not explain A

  3. ((c))

    A is correct, R is incorrect

  4. ((d))

    A is incorrect, R is correct

Show Answer
Answer: ((a))

Both A and R are correct, and R explains A

38

Consider the following statements about athletics stadium layout:

  1. Pole vault and high jump zones are located near the curved ends to avoid disrupting races.

  2. Hammer throw and shot put are placed centrally for equal access.

Which of the above statements is/are correct?

  1. ((a))

    Only 1 is Correct

  2. ((b))

    Only 2 is Correct

  3. ((c))

    1 and 2 both are correct

  4. ((d))

    Neither 1 nor 2 is Correct

Show Answer
Answer: ((a))

Only 1 is Correct

39

Consider the following statements:

  1. Iltutmish succeeded Qutub-ud-din Aibak and was later followed by his daughter Razia.
  2. Razia ruled the Delhi Sultanate for several decades, marking one of the longest reigns of any female monarch.

Which of the statements given above is/are correct?

  1. ((a))

    only 1

  2. ((b))

    only 2

  3. ((c))

    neither 1 nor 2 is correct

  4. ((d))

    both 1 and 2 are correct

Show Answer
Answer: ((a))

only 1

40

Consider the following statements about India’s performance in the women’s singles SU5 badminton event at Paris 2024 Paralympics:

  1. Manisha Ramadass won the bronze medal by defeating Denmark’s Cathrine Rosengren in straight sets.
  2. Thulasimathi Murugesan, the top seed, won the gold medal by defeating China’s Yang Qiuxia in the final.
    Which of the statements is/are correct?
  1. ((a))

    Only 1 is Correct

  2. ((b))

    Only 2 is Correct

  3. ((c))

    1 and 2 are Correct

  4. ((d))

    Neither 1 nor 2 are Correct

Show Answer
Answer: ((a))

Only 1 is Correct

41

Consider the following statements regarding India–Nepal water-sharing treaties:

  1. The Kosi (1954) and Gandak (1959) Agreements provide for joint management of barrages, including construction, maintenance, and operation.

  2. The Mahakali Treaty (1996) mandates construction of a Pancheshwar Bridge by India and allows unilateral development of river projects. Which of the above statements is/are correct?

  1. ((a))

    Only 1 is correct

  2. ((b))

    Only 2 is correct

  3. ((c))

    Both 1 and 2 are correct

  4. ((d))

    Neither 1 nor 2 is correct

Show Answer
Answer: ((a))

Only 1 is correct

42

Consider the following statements regarding the India–Bhutan Friendship Treaty signed in 2007:

  1. The treaty affirms mutual respect for sovereignty and bans harmful use of each other’s territory.

  2. Article 4 permits Bhutan to export arms to third countries with India’s consent.

  3. The treaty promotes free trade and cultural cooperation in areas like education and health.

Which of the above statements is/are correct?

  1. ((a))

    1 and 2 only

  2. ((b))

    2 and 3 only

  3. ((c))

    1 and 3 only

  4. ((d))

    1, 2, and 3 all are correct

Show Answer
Answer: ((a))

1 and 2 only

43

Consider the following statements about 'Chronicle of a Corpse Bearer' by Cyrus Mistry:

  1. Won DSC Prize for depicting marginalized Parsi communities in Mumbai.

  2. Received Booker Prize for narrative innovation and postcolonial themes.

  3. Awarded Sahitya Akademi in 2015.

Which of the above statements is/are correct?

  1. ((a))

    Only statement 1 is correct

  2. ((b))

    Only statement 2 is correct

  3. ((c))

    Statements 1 and 3 both are correct

  4. ((d))

    1, 2 and 3 all Statements are Correct

Show Answer
Answer: ((a))

Only statement 1 is correct

44

Who delivered the main address at the closing ceremony of the 38th National Games held in Uttarakhand in February 2025?

  1. ((a))

    Dr. Mansukh Mandaviya

  2. ((b))

    Narendra Modi

  3. ((c))

    Amit Shah

  4. ((d))

    Pushkar Singh Dhami

Show Answer
Answer: ((a))

Dr. Mansukh Mandaviya

45

Which of the following is correct for the Indian Desert region?

  1. It is a sandy plain with dunes.
  2. It is heavily forested.
  1. ((a))

    Only 1

  2. ((b))

    Only 2

  3. ((c))

    1 and 2 both are correct

  4. ((d))

    Neither 1 nor 2 are correct

Show Answer
Answer: ((a))

Only 1

46

Read the following two statements carefully and choose the correct option:

Statement 1: India has completed its demographic transition as both death and birth rates have declined equally.

Statement 2: In India, although mortality rates have reduced, the birth rate remains comparatively high.

  1. ((a))

    Only 1

  2. ((b))

    Only 2

  3. ((c))

    Both 1 and 2 are correct

  4. ((d))

    Neither 1 nor 2 is correct

Show Answer
Answer: ((a))

Only 1

47

Consider the following statements about India's Biosphere Reserves:

  1. All biosphere reserves are notified as UNESCO World Heritage Sites.
  2. Gulf of Mannar and Great Nicobar are included in the World Network of Biosphere Reserves.
  3. Biosphere reserves often include core, buffer, and transition zones.
  1. ((a))

    Only 1 and 2 are correct

  2. ((b))

    Only 2 and 3 are correct

  3. ((c))

    Only 1 and 3 are correct

  4. ((d))

    All 1, 2 and 3 are correct

Show Answer
Answer: ((a))

Only 1 and 2 are correct

48

What was the key feature of liberalization under the NEP 1991?

  1. ((a))

    Increase in agricultural subsidies

  2. ((b))

    Imposition of new licenses

  3. ((c))

    Abolition of industrial licensing

  4. ((d))

    Expansion of state control

Show Answer
Answer: ((a))

Increase in agricultural subsidies

49

Consider these statements about landforms and processes:

  1. Glacial erosion typically forms V-shaped valleys.
  2. Karst topography commonly develops in regions with soluble bedrock like limestone.

Which of the above is/are correct?

  1. ((a))

    Statement 1 only

  2. ((b))

    Statement 2 only

  3. ((c))

    Both 1 and 2

  4. ((d))

    Neither 1 nor 2

Show Answer
Answer: ((a))

Statement 1 only

50

Which of the following are included under the scope of Article 21 as interpreted by the Supreme Court?

  1. Right to sleep
  2. Right to shelter
  3. Right to reputation
  4. Right to die
  1. ((a))

    1, 2 and 3 only

  2. ((b))

    1, 3 and 4 only

  3. ((c))

    2 and 4 only

  4. ((d))

    1, 2, 3 and 4

Show Answer
Answer: ((a))

1, 2 and 3 only

Quantitative Aptitude (25 questions)

51

Simplify 32+18−8\sqrt{32} + \sqrt{18} - \sqrt{8}.

  1. ((a))

    424\sqrt{2}

  2. ((b))

    626\sqrt{2}

  3. ((c))

    525\sqrt{2}

  4. ((d))

    323\sqrt{2}

Show Answer
Answer: ((a))

424\sqrt{2}

52

What is the total number of factors of 3600?

  1. ((a))

    45

  2. ((b))

    30

  3. ((c))

    35

  4. ((d))

    20

Show Answer
Answer: ((a))

45

53

Convert 0.714285... into a fraction

  1. ((a))

    57 \frac{5}{7}

  2. ((b))

    17 \frac{1}{7}

  3. ((c))

    157 \frac{15}{7}

  4. ((d))

    167 \frac{16}{7}

Show Answer
Answer: ((a))

57 \frac{5}{7}

54

X and Y start a business. X invests ₹75,000, Y invests ₹1,00,000. After 6 months, Y withdraws ₹40,000. If profit at year-end is ₹1,05,000, what is X's share?

  1. ((a))

    ₹80,806.45

  2. ((b))

    ₹50,806.45

  3. ((c))

    ₹90,806.45

  4. ((d))

    ₹70,806.45

Show Answer
Answer: ((a))

₹80,806.45

55

The average weight of 40 boys is 52 kg. If the weight of the teacher is added, the new average becomes 52.5 kg. What is the teacher's weight?

  1. ((a))

    272.5 kg

  2. ((b))

    172.5 kg

  3. ((c))

    72.5 kg

  4. ((d))

    82.5 kg

Show Answer
Answer: ((a))

272.5 kg

56

If 7% of a number is 21, what is the value of the number minus 25% of itself?

  1. ((a))

    225

  2. ((b))

    250

  3. ((c))

    275

  4. ((d))

    200

Show Answer
Answer: ((a))

225

57

If the difference between the compound interest and simple interest on a certain amount of money for 11/2 years at an interest rate of 10% per annum is ₹183, when the interest is compounded semi-annually, determine the principal amount.

  1. ((a))

    ₹84000

  2. ((b))

    ₹70000

  3. ((c))

    ₹24000

  4. ((d))

    ₹94000

Show Answer
Answer: ((a))

₹84000

58

The profit made on an item sold for ₹2200 is equal to the loss incurred when it is sold for ₹1800. What will be the profit or loss percentage if the item is sold for ₹2050?

  1. ((a))

    Profit of 2.25%

  2. ((b))

    Loss of 3.5%

  3. ((c))

    Profit of 2.5%

  4. ((d))

    Loss of 4.25%

Show Answer
Answer: ((a))

Profit of 2.25%

59

In a container, there is a mixture of orange juice and water in the ratio 9:7 respectively. If 15 litres of orange juice are added to the mixture, the ratio of orange juice to water becomes 3:2. Find the difference between the final quantity of orange juice and that of water.

  1. ((a))

    12 litres

  2. ((b))

    35 litres

  3. ((c))

    18 litres

  4. ((d))

    21 litres

Show Answer
Answer: ((a))

12 litres

60

A is 4 times as efficient as B. If A completes a work in 45 days less than B, in how many days can they finish the work together?

  1. ((a))

    14 days

  2. ((b))

    15 days

  3. ((c))

    16 days

  4. ((d))

    12 days

Show Answer
Answer: ((a))

14 days

61

A police car detects a stolen vehicle 1 km in front of it and begins to pursue it. The police car is moving at a speed of 100 km/h, while the stolen car is traveling at 80 km/h. What will be the distance between them after 90 seconds?

  1. ((a))

    250 m

  2. ((b))

    400 m

  3. ((c))

    500 m

  4. ((d))

    750 m

Show Answer
Answer: ((a))

250 m

62

If a+1a=3 a + \frac{1}{a} = 3 , find the value of a6+1a6 a^6 + \frac{1}{a^6}

  1. ((a))

    322

  2. ((b))

    324

  3. ((c))

    326

  4. ((d))

    256

Show Answer
Answer: ((a))

322

63

A point (X,Y) is chosen uniformly at random from the square region defined by 0 ≤ X ≤ 1 and 0 ≤ Y ≤ 1. What is the probability that the distance of the point from the origin (0,0) is less than or equal to 1/2 and the point's X-coordinate is greater than its Y-coordinate (X > Y)?

  1. ((a))

    π4\frac{\pi}{4}

  2. ((b))

    π8\frac{\pi}{8}

  3. ((c))

    π16\frac{\pi}{16}

  4. ((d))

    π32\frac{\pi}{32}

Show Answer
Answer: ((a))

π4\frac{\pi}{4}

64

From the top of a 100 m high cliff, an observer notices a car moving away from the base of the cliff. The angle of depression of the car changes from 45° to 30° in 8 seconds. What is the approximate speed of the car?

  1. ((a))

    8.5 m/s

  2. ((b))

    9.2 m/s

  3. ((c))

    10.0 m/s

  4. ((d))

    11.5 m/s

Show Answer
Answer: ((a))

8.5 m/s

65

A right prism has a triangular base with sides 5 cm, 9 cm, and 6 cm. The height of the prism is 20 cm. Find the lateral surface area.

  1. ((a))

    260 cm2

  2. ((b))

    280 cm2

  3. ((c))

    400 cm2

  4. ((d))

    320 cm2

Show Answer
Answer: ((a))

260 cm2

66

A solid hemisphere of radius R is sliced horizontally at 1/3 rd of its height from the base. Find the volume of the smaller (top) segment.

  1. ((a))

    8πR381 \frac{8\pi R^3}{81}

  2. ((b))

    28πR381 \frac{28\pi R^3}{81}

  3. ((c))

    11πR381 \frac{11\pi R^3}{81}

  4. ((d))

    7πR381 \frac{7\pi R^3}{81}

Show Answer
Answer: ((a))

8πR381 \frac{8\pi R^3}{81}

67

A circular fountain of radius 10 m is at the center of a square park of side 24 m. If grass covers the remaining area, what percentage of the park is grass?

  1. ((a))

    45.47%

  2. ((b))

    57.2%

  3. ((c))

    70.5%

  4. ((d))

    72.1%

Show Answer
Answer: ((a))

45.47%

68

If an angle is equal to its complement, what is the angle?

  1. ((a))

    145°

  2. ((b))

    415°

  3. ((c))

    45°

  4. ((d))

    5°

Show Answer
Answer: ((a))

145°

69

If sinA = 5/13, find the value of (1 + tan2A)/sec2A.

  1. ((a))

    1

  2. ((b))

    2

  3. ((c))

    3

  4. ((d))

    4

Show Answer
Answer: ((a))

1

70

Find the inter quartile range for the following series.

3, 5, 6, 8, 10, 12, 14, 16, 18, 20, 22

  1. ((a))

    10

  2. ((b))

    12

  3. ((c))

    14

  4. ((d))

    16

Show Answer
Answer: ((a))

10

71

In triangle ABC, the orthocenter is at (0,0), centroid at (2,4). Find the circumcenter.

  1. ((a))

    (3, 6)

  2. ((b))

    (4, 8)

  3. ((c))

    (6, 12)

  4. ((d))

    (1, 2)

Show Answer
Answer: ((a))

(3, 6)

72

Compute the quartile deviation for the data given here 27, 3, 28, 40, 28, 30, 36, 27, 25, 27?

  1. ((a))

    2

  2. ((b))

    2.5

  3. ((c))

    3

  4. ((d))

    3.5

Show Answer
Answer: ((a))

2

73

PQ is the diameter of the circle with center O and R, S, T are three points on the semi-circle in a given figure. Which of the following statements is true?

  1. ((a))

    ∠PRQ=90∘\angle PRQ = 90^\circ

  2. ((b))

    ∠PTQ=90∘\angle PTQ = 90^\circ

  3. ((c))

    ∠RPS=∠RTS\angle RPS = \angle RTS

  4. ((d))

    Both 1 and 2

Show Answer
Answer: ((a))

∠PRQ=90∘\angle PRQ = 90^\circ

74

What is the y-intercept of the line that passes through the points (3, 6) and (-1, -5)?

  1. ((a))

    10/3

  2. ((b))

    2/3

  3. ((c))

    -9/4

  4. ((d))

    9/4

Show Answer
Answer: ((a))

10/3

75

Two circles with a common center (concentric circles) have radii of 5 cm and 12 cm. A tangent to the inner circle forms a chord of the outer circle. What is the length of this chord?

  1. ((a))

    21.8 cm

  2. ((b))

    13 cm

  3. ((c))

    17.5 cm

  4. ((d))

    24 cm

Show Answer
Answer: ((a))

21.8 cm

English Language (25 questions)

Read the passage and answer the questions:

The argument of this book is that we, and all other animals, are machines created by our genes. Like successful Chicago gangsters, our genes have survived sometimes for millions of years in a highly competitive world. This has entailed ruthless selfishness in gene selection, yet paradoxically it has also favored behaviors that, at an organismal level, may appear cooperative or even altruistic. The key to understanding this paradox lies in recognizing that what matters is not the survival of the individual organism, nor even the species, but rather the continuity of the genes themselves.

Natural selection, therefore, operates at the level of replicators-genes-rather than the individual creatures they construct as temporary vehicles. These survival machines, whether they be humans, ants, or oak trees, serve merely as the means through which genes propagate. This gene-centered view of evolution helps explain many otherwise puzzling phenomena in nature. For example, kin selection provides a compelling reason why apparent acts of altruism, such as worker ants sacrificing their ability to reproduce, can evolve: by ensuring the survival and reproduction of closely related individuals, an organism still promotes the continuity of its genetic lineage.

This perspective challenges the common anthropocentric tendency to view evolution as a process geared toward the 'good of the species. In reality, natural selection cares nothing for abstract collective welfare; it blindly favors gene variants that are better at replicating, regardless of their consequences beyond that singular goal.

76

In the sentence "Like successful Chicago gangsters, our genes have survived—sometimes for millions of years—in a highly competitive world," the phrase "Like successful Chicago gangsters" functions as:

  1. ((a))

    Main clause

  2. ((b))

    Adverbial phrase

  3. ((c))

    Subject of the sentence

  4. ((d))

    Relative clause

Show Answer
Answer: ((a))

Main clause

77

Identify the correct classification of the sentence:

<br>

"Natural selection, therefore, operates at the level of replicators—genes—rather than the individual creatures they construct as temporary vehicles."

  1. ((a))

    Simple Sentence

  2. ((b))

    Compound Sentence

  3. ((c))

    Complex Sentence

  4. ((d))

    Compound-Complex Sentence

Show Answer
Answer: ((a))

Simple Sentence

78

What does the word "replicators" most nearly mean in the context of the passage?

  1. ((a))

    Living organisms that reproduce independently.

  2. ((b))

    Units that copy themselves for survival.

  3. ((c))

    Environmental factors that assist evolution.

  4. ((d))

    Predators that control population growth.

Show Answer
Answer: ((a))

Living organisms that reproduce independently.

79

In the phrase "anthropocentric tendency," what does "anthropocentric" mean?

  1. ((a))

    Centred around human needs and perspectives

  2. ((b))

    Focused on collective animal survival

  3. ((c))

    Based on environmental conservation

  4. ((d))

    A scientific approach to studying ecosystems

Show Answer
Answer: ((a))

Centred around human needs and perspectives

80

According to the passage, what is the main focus of natural selection?

  1. ((a))

    Ensuring the survival of the strongest individual organisms.

  2. ((b))

    Promoting the good of the species as a whole.

  3. ((c))

    Enhancing the survival and replication of genes.

  4. ((d))

    Preserving the diversity of all living forms.

Show Answer
Answer: ((a))

Ensuring the survival of the strongest individual organisms.

81

Select the most appropriate synonym of the given word. ACRIMONIOUS

  1. ((a))

    Harsh

  2. ((b))

    Sharp

  3. ((c))

    Resentful

  4. ((d))

    Bitter

Show Answer
Answer: ((a))

Harsh

82

Select the most appropriate antonym of the given word. Prodigious

  1. ((a))

    Meagre

  2. ((b))

    Phenomenal

  3. ((c))

    Enormous

  4. ((d))

    Monumental

Show Answer
Answer: ((a))

Meagre

83

Select the correct spelling of the term used to describe 'a witty, paradoxical saying or remark'.

  1. ((a))

    Epigramme

  2. ((b))

    Epigrahm

  3. ((c))

    Epigram

  4. ((d))

    Epigream

Show Answer
Answer: ((a))

Epigramme

84

Select the correctly spelled word meaning 'an expression of praise'.

  1. ((a))

    Accollade

  2. ((b))

    Accolade

  3. ((c))

    Acolade

  4. ((d))

    Akcolade

Show Answer
Answer: ((a))

Accollade

85

Identify the misspelt word:

  1. ((a))

    Plenipotentiary

  2. ((b))

    Utilitarianism

  3. ((c))

    Syzgy

  4. ((d))

    Naturalism

Show Answer
Answer: ((a))

Plenipotentiary

86

What is the one-word substitute for "a person who questions or rejects generally accepted opinions or beliefs"?

  1. ((a))

    Heretic

  2. ((b))

    Iconoclast

  3. ((c))

    Dissenter

  4. ((d))

    Apostate

Show Answer
Answer: ((a))

Heretic

87

What is the one-word substitute for: "The act of a writer deliberately avoiding a resolution to a narrative, leaving it open-ended or ambiguous"?

  1. ((a))

    Denouement

  2. ((b))

    Cliffhanger

  3. ((c))

    Pastiche

  4. ((d))

    Pathetic Fallacy

Show Answer
Answer: ((a))

Denouement

88

Choose the correct meaning of idiom given below:
"A dime a dozen"

  1. ((a))

    Rare item

  2. ((b))

    Very common

  3. ((c))

    Very costly

  4. ((d))

    Fake currency

Show Answer
Answer: ((a))

Rare item

89

Find the part of the sentence that contains an error:

The audible protest (1)/ by the silent demonstrator (2)/ confused the officials (3)/ and media alike. (4)

  1. ((a))

    (1)

  2. ((b))

    (2)

  3. ((c))

    (3)

  4. ((d))

    (4)

Show Answer
Answer: ((a))

(1)

90

Find the part of the sentence that contains an error:

She claimed that she (1)/ had already submitted the report (2)/ before her supervisor (3)/ requests it again. (4)

  1. ((a))

    (1)

  2. ((b))

    (2)

  3. ((c))

    (3)

  4. ((d))

    (4)

Show Answer
Answer: ((a))

(1)

91

Fill in the blank with the most appropriate option:
He said he ___ the file by Friday, but he never did.

  1. ((a))

    would submit

  2. ((b))

    submits

  3. ((c))

    has submitted

  4. ((d))

    had submitted

Show Answer
Answer: ((a))

would submit

92

Choose the most suitable option to replace the underlined part of the sentence:
No sooner had she entered the room when the lights went off.

  1. ((a))

    than

  2. ((b))

    then

  3. ((c))

    but

  4. ((d))

    when

Show Answer
Answer: ((a))

than

93

Change the following from active to passive:

The committee is expected to have resolved the jurisdictional ambiguities before the policy rollout.

  1. ((a))

    The jurisdictional ambiguities are expected to have been resolved by the committee before the policy rollout.

  2. ((b))

    The jurisdictional issues are expected to be resolved by the committee before the policy rollout.

  3. ((c))

    Jurisdictional ambiguities should have been resolved by the committee before the policy rollout.

  4. ((d))

    Jurisdictional clauses were resolved by the committee before the policy rollout.

Show Answer
Answer: ((a))

The jurisdictional ambiguities are expected to have been resolved by the committee before the policy rollout.

94

Convert the sentence provided below from its passive voice structure to an active voice structure:

Orders are being processed by the system.

  1. ((a))

    The system processes the orders.

  2. ((b))

    The system has been processing orders.

  3. ((c))

    The system is processing orders.

  4. ((d))

    The system processed orders.

Show Answer
Answer: ((a))

The system processes the orders.

95

Convert the sentence provided below from its passive voice structure to an active voice structure:

The budget proposals will have been finalized by the finance ministry before the end of the fiscal year.

  1. ((a))

    The finance ministry has finalized the budget proposals before the end of the fiscal year.

  2. ((b))

    The finance ministry will be finalizing the budget proposals before the end of the fiscal year.

  3. ((c))

    The finance ministry finalizes the budget proposals before the end of the fiscal year.

  4. ((d))

    The finance ministry will have finalized the budget proposals before the end of the fiscal year.

Show Answer
Answer: ((a))

The finance ministry has finalized the budget proposals before the end of the fiscal year.

96

A sentence is provided in direct speech. From the four given options, choose the one that most accurately conveys the sentence in its corresponding indirect speech.

“If I were you, I would not trust such vague promises,” said the mentor.

  1. ((a))

    The mentor said that if he were me, he wouldn't trust such vague promises.

  2. ((b))

    The mentor said if he had been me, he wouldn't trust vague promises.

  3. ((c))

    The mentor said that if he were me, he would not trust such vague promises.

  4. ((d))

    The mentor said he would not trust such vague promises if he were me.

Show Answer
Answer: ((a))

The mentor said that if he were me, he wouldn't trust such vague promises.

97

A sentence is provided in indirect speech. From the four given options, choose the one that most accurately conveys the sentence in its corresponding direct speech.

The investigator enquired whether any of the files, which had been marked confidential, had been accessed without authorization during the audit period.

  1. ((a))

    "Had any of the confidential files been accessed without authorization during the audit?" the investigator asked.

  2. ((b))

    "Were any confidential files opened without permission during the audit?" the investigator asked.

  3. ((c))

    "Did anyone access the confidential files during the audit?" the investigator asked.

  4. ((d))

    "Was there any unauthorized access to marked files during the audit?" the investigator asked.

Show Answer
Answer: ((a))

"Had any of the confidential files been accessed without authorization during the audit?" the investigator asked.

98

Rearrange the following sentences in correct order to make a meaningful sentence

P. a high-level committee was formed

Q. to evaluate the long-term impact of automation

R. in response to rising concerns about job displacement

S. by the ministry of labor and employment

  1. ((a))

    PRSQ

  2. ((b))

    RSQP

  3. ((c))

    SQRP

  4. ((d))

    RPSQ

Show Answer
Answer: ((a))

PRSQ

99

Rearrange the following sentences in correct order to make a meaningful passage.

  1. The blueprint is finalized after approval from stakeholders.
  2. First, a basic framework is proposed.
  3. Then revisions are made after discussions.
  4. Finally, execution begins as per plan.
  1. ((a))

    2-3-1-4

  2. ((b))

    1-3-2-4

  3. ((c))

    3-2-1-4

  4. ((d))

    2-1-3-4

Show Answer
Answer: ((a))

2-3-1-4

100

Rearrange the following sentences in correct order to make a meaningful passage

  1. Resultant insights are relayed to national climate task forces.
  2. Oceanic telemetry devices transmit data packets to orbital receivers.
  3. Atmospheric shifts are modelled using correlated altimetry records.
  4. Hybrid simulations quantify trajectory fluctuations.
  1. ((a))

    1-4-3-2

  2. ((b))

    4-3-2-1

  3. ((c))

    3-1-2-4

  4. ((d))

    2-3-4-1

Show Answer
Answer: ((a))

1-4-3-2

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