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UPSC Prelims 2025 CSAT Question Paper with Solutions

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Questions.

Directions · Q1 to Q4

Directions for the following 4 (four) items :
Read the following two passages and answer the items that follow the passages. Your answers to these items should be based on the passages only.

Passage · Q1 to Q2

Maintaining an ecosystem just to conserve biodiversity will affect its commercial potential as well as the livelihoods dependent on the ecosystem. There is also a conflict between using an ecosystem only for livelihoods, for commercial exploitation, or strictly for conservation. Deforestation caused due to commercial exploitation will lead to indirect harm like floods, siltation problems and microclimatic instability, apart from adversely affecting livelihoods dependent on forests. These conflicts are particularly acute in developing countries where the dependence of people on the ecosystem is significant, and commercial exploitation has the potential to boost national income.

Q1

Which one of the following statements best reflects the critical message conveyed by the author of the passage ?

  1. (a) Conservation of biodiversity is not an issue to be worried about when some people depend on ecosystems for their livelihoods.
  2. (b) Commercial exploitation of forests goes against the fundamental rights of the people dependent on forests for food and shelter.
  3. (c) Sustenance of livelihood and degradation of ecosystem while being together exacerbate one another, leading to conflicts and imbalance.
  4. (d) Commercial exploitation of ecosystems should be completely stopped.
Answer and solution
Q2

With reference to above passage, the following assumptions have been made :

I. No country needs to depend on ecosystems to boost national income.

II. Resource-rich countries need to share their resources with those of scant resources so as to prevent the degradation of ecosystems.

Which of the above assumptions is/are valid ?

  1. (a) I only
  2. (b) II only
  3. (c) Both I and II
  4. (d) Neither I nor II
Answer and solution

Passage · Q3 to Q4

The history of renewable energy suggests there is a steep learning curve, meaning that, as more is produced, costs fall rapidly because of economies of scale and learning by doing. The firms' green innovation is path-dependent : the more a firm does, the more it is likely to do in the future. The strongest evidence for this is the collapse in the price of solar energy, which became about 90% cheaper during the 2010s, repeatedly beating forecasts. Moving early and gradually gives economies more time to adjust, allowing them to reap the benefits of path-dependent green investment without much disruption. A late, more chaotic transition is costlier.

Q3

Which one of the following statements best reflects the central idea of the passage ?

  1. (a) Economies of scale is essential for transition to green growth.
  2. (b) Modern technological progress is intensely linked to path-dependent innovations.
  3. (c) Countries with large economies are in a better position to adopt green technologies.
  4. (d) Timing plays a crucial role in the case of green technology development.
Answer and solution
Q4

With reference to the above passage, the following assumptions have been made :

I. Path-dependent green investments will eventually most likely benefit growth as well as public finances in a country like India.

II. If other green technologies follow the same pattern as that of solar energy, there will most likely be an easy green transition.

Which of the above assumptions is/are valid ?

  1. (a) I only
  2. (b) II only
  3. (c) Both I and II
  4. (d) Neither I nor II
Answer and solution
Q5

A natural number NN is such that it can be expressed as N=p+q+rN=p+q+r, where p,qp,q and rr are distinct factors of NN. How many numbers below 50 have this property ?

  1. (a) 6
  2. (b) 7
  3. (c) 8
  4. (d) 9
Answer and solution
Q6

Three prime numbers p,qp,q and rr, each less than 20, are such that p−q=q−rp-q=q-r. How many distinct possible values can we get for (p+q+r)(p+q+r) ?

  1. (a) 4
  2. (b) 5
  3. (c) 6
  4. (d) More than 6
Answer and solution
Q7

How many possible values of (p+q+r)(p+q+r) are there satisfying 1p+1q+1r=1\frac{1}{p}+\frac{1}{q}+\frac{1}{r}=1, where p,qp,q and rr are natural numbers (not necessarily distinct) ?

  1. (a) None
  2. (b) One
  3. (c) Three
  4. (d) More than three
Answer and solution
Q8

What comes at XX and YY respectively in the following sequence ?

January, January, December, October, XX, March, October, YY, September

  1. (a) July, May
  2. (b) July, April
  3. (c) June, May
  4. (d) June, April
Answer and solution
Q9

Team XX scored a total of NN runs in 20 overs. Team YY tied the score in 10% less overs. Had team YY's average run rate (runs per over) been 50% higher, the scores would have been tied in 12 overs. How many runs were scored by team XX ?

  1. (a) 72
  2. (b) 144
  3. (c) 216
  4. (d) Cannot be determined
Answer and solution
Q10

The price (p)(p) of a commodity is first increased by k%k\%; then decreased by k%k\%; again increased by k%k\%; and again decreased by k%k\%. If the new price is qq, then what is the relation between pp and qq ?

  1. (a) p(104−k2)2=q×108p(10^4-k^2)^2=q \times 10^8
  2. (b) p(104−k2)2=q×104p(10^4-k^2)^2=q \times 10^4
  3. (c) p(104−k2)=q×104p(10^4-k^2)=q \times 10^4
  4. (d) p(104−k2)=q×108p(10^4-k^2)=q \times 10^8
Answer and solution

Directions · Q11 to Q14

Directions for the following 4 (four) items :
Read the following two passages and answer the items that follow the passages. Your answers to these items should be based on the passages only.

Passage · Q11 to Q12

Each State in India faces a distinctive set of challenges regarding the impact of warming, but also offers its own set of opportunities for reducing emissions depending on its natural resources. For example, coastal States need to take action to protect their shores from sea level rise, districts that are drier need to prepare for variable monsoon precipitation. Himalayan regions have their own unique challenges, and selected parts of peninsular India and offshore areas offer great opportunities for harnessing wind power. These various aspects need to be considered for developing clear and sustainable goals for the future.

Q11

Which one of the following statements best reflects the most logical, rational and pragmatic message conveyed by the author of the passage ?

  1. (a) The mitigation and adaptation strategies to address/tackle the climate change is essentially the responsibility of each State.
  2. (b) India is too diverse to implement any effective strategy or programme to address/tackle the climate change.
  3. (c) It is basically the responsibility of the Union Government to implement the climate action plans and ensure net zero emissions.
  4. (d) India needs to formulate effective climate change mitigation and adaptation strategies at the State/region level.
Answer and solution
Q12

With reference to the passage, the following assumptions have been made :

I. Green energy production can be linked to/integrated with the climate change mitigation and adaptation strategies.

II. Effects of climate change are much more severe in coastal and mountainous regions.

Which of the above assumptions is/are valid ?

  1. (a) I only
  2. (b) II only
  3. (c) Both I and II
  4. (d) Neither I nor II
Answer and solution

Passage · Q13 to Q14

If the social inequality is the most acutely felt social problem in India, insecurity, more than poverty, is the most acutely felt economic problem. Besides those below the official poverty line, even those just over the poverty line are subject to multiple economic insecurities of various kinds (due to wealth and/or health risks, market fluctuations, job-related uncertainties). Many Government policies are actually intended towards mitigating these insecurities.

Q13

Which one of the following statements best reflects the critical message conveyed by the passage ?

  1. (a) India's political executive should be aware that poverty and social inequality and the consequent sense of insecurity is the main social problem.
  2. (b) In India, poverty is the primary reason for social inequality and insecurity.
  3. (c) Poverty and social inequality are so intricately linked that they pose an unmanageable crisis for India.
  4. (d) Insecurity, more than poverty, is the main economic issue that Government policies must address.
Answer and solution
Q14

With reference to the above passage, the following assumptions have been made :

I. People above the poverty line also are prone to suffer from anxiety about economic insecurity.

II. Eradication of poverty can result in peace and social equality in the country.

Which of the above assumptions is/are valid ?

  1. (a) I only
  2. (b) II only
  3. (c) Both I and II
  4. (d) Neither I nor II
Answer and solution
Q15

A solid cube is painted yellow on all its faces. The cube is then cut into 60 smaller but equal pieces by making the minimum number of cuts. Which of the following statements is/are correct ?

I. The minimum number of cuts is 9.

II. The number of smaller pieces which are not painted on any face is 6.

Select the correct answer using the code given below :

  1. (a) I only
  2. (b) II only
  3. (c) Both I and II
  4. (d) Neither I nor II
Answer and solution
Q16

If 7∗24=257*24=25 and 12∗16=2012*16=20, then what is 16∗6316*63 equal to ?

  1. (a) 70
  2. (b) 66
  3. (c) 65
  4. (d) 64
Answer and solution
Q17

The petrol price shot up by 10% as a result of the hike in crude oil prices. The price of petrol before the hike was ₹ 90 per litre. A person travels 2200 km every month and his car gives a mileage of 16 km per litre. By how many km should he reduce his travel if he wants to maintain his expenditure at the previous level ?

  1. (a) 180 km
  2. (b) 200 km
  3. (c) 220 km
  4. (d) 240 km
Answer and solution
Q18

A 4-digit number NN is such that when divided by 3,5,6,93,5,6,9 leaves a remainder 1,3,4,71,3,4,7 respectively. What is the smallest value of NN ?

  1. (a) 1068
  2. (b) 1072
  3. (c) 1078
  4. (d) 1082
Answer and solution
Q19

Consider the following statements :

I. If A≤B>C<D>E>F≥G=HA \le B>C<D>E>F \ge G=H; then BB is always greater than EE.

II. If P>Q=R≥S=T≤U=V>WP>Q=R \ge S=T \le U=V>W; then SS is always less than VV.

Which of the statements given above is/are correct ?

  1. (a) I only
  2. (b) II only
  3. (c) Both I and II
  4. (d) Neither I nor II
Answer and solution
Q20

What is the unit digit in the multiplication of 1×3×5×7×9×⋯×9991 \times 3 \times 5 \times 7 \times 9 \times \dots \times 999 ?

  1. (a) 1
  2. (b) 3
  3. (c) 5
  4. (d) 9
Answer and solution

Directions · Q21 to Q24

Directions for the following 4 (four) items :
Read the following two passages and answer the items that follow the passages. Your answers to these items should be based on the passages only.

Passage · Q21 to Q22

One of the dismal realities of the agricultural sector in independent India has been that it never experienced a high-growth phase, unlike the non-agricultural economy. The highest decadal growth (compound annual growth rate or CAGR) for agriculture has been just 3.5%3.5\% in the 1980s. Also, after experiencing a spurt in decadal growth during the 1980s, agricultural growth suffered relative stagnation thereafter. This is in sharp contrast to non-agricultural growth, which consistently increased from the 1980s to 2000s.

Q21

Which one of the following statements best reflects the corollary to the above passage ?

  1. (a) The benefit of economic reforms percolates down more slowly to the agriculture sector than in other sectors of the economy.
  2. (b) For India, the green revolution was not as useful as it was expected to be.
  3. (c) India lagged behind other countries in adapting mechanized and modern farming.
  4. (d) Rural-to-urban migration resulted in the stagnant agriculture sector.
Answer and solution
Q22

With reference to the passage, the following assumptions have been made :

The growing divergence between the fortunes of the agricultural and non-agricultural economy in India could have been reduced/contained by :

I. adapting large-scale cultivation of commercial crops and viable corporate farming.

II. providing free insurance for all crops and heavily subsidizing seeds, fertilizers, electricity and farm machinery at par with developed countries.

Which of the above assumptions is/are valid ?

  1. (a) I only
  2. (b) II only
  3. (c) Both I and II
  4. (d) Neither I nor II
Answer and solution

Passage · Q23 to Q24

In our country, handlooms are equated with a culture that ensures a continuity of tradition. This idea has become part of the public policy-framing and provides a legitimate basis for the State to support the sector. But the notion of tradition as a single, linear entity is being strongly contested today. The narratives dominant in defining culture/tradition in a particular way are seen to have emerged as the identities and histories of large sections. The discounted and, at times, forcibly stifled identities are fighting for their rightful place in history. Against this backdrop, when we promote handloom as a traditional industry, it is not surprising that large sections of our population choose to ignore it.

Q23

Which one of the following statements best reflects the most logical and rational message conveyed by the author of the passage ?

  1. (a) We need to free the handloom industry from the limited narrative linked to preserving cultural heritage.
  2. (b) Continued State support to the handloom industry ensures the preservation of some of our glorious art forms and old traditions.
  3. (c) Household units of the handloom sector should be modernized and made an economically viable organized industry.
  4. (d) Handloom products need to be converted to machine-made designer products so as to make them more popular.
Answer and solution
Q24

With reference to the above passage, the following assumptions have been made :

I. There is no need for the State to be involved in any manner in the handloom sector.

II. Handloom products are no longer appealing and attractive in the rapidly changing modern world.

Which of the above assumptions is/are valid ?

  1. (a) I only
  2. (b) II only
  3. (c) Both I and II
  4. (d) Neither I nor II
Answer and solution
Q25

Consider the first 100 natural numbers. How many of them are not divisible by any one of 2, 3, 5, 7 and 9 ?

  1. (a) 20
  2. (b) 21
  3. (c) 22
  4. (d) 23
Answer and solution
Q26

If 4≤x≤84 \le x \le 8 and 2≤y≤72 \le y \le 7, then what is the ratio of maximum value of (x+y)(x+y) to minimum value of (x−y)(x-y) ?

  1. (a) 66
  2. (b) 152\frac{15}{2}
  3. (c) −152-\frac{15}{2}
  4. (d) None of the above
Answer and solution
Q27

Let both pp and kk be prime numbers such that (p2+k)(p^2+k) is also a prime number less than 30. What is the number of possible values of kk ?

  1. (a) 4
  2. (b) 5
  3. (c) 6
  4. (d) 7
Answer and solution
Q28

There are nn sets of numbers each having only three positive integers with LCM equal to 1001 and HCF equal to 1. What is the value of nn ?

  1. (a) 6
  2. (b) 7
  3. (c) 8
  4. (d) More than 8
Answer and solution
Q29

Let PQRPQR be a 3-digit number, PPTPPT be a 3-digit number and PSPS be a 2-digit number, where P,Q,R,S,TP,Q,R,S,T are distinct non-zero digits. Further, PQR−PS=PPTPQR-PS=PPT. If Q=3Q=3 and T<6T<6, then what is the number of possible values of (R,S)(R,S) ?

  1. (a) 2
  2. (b) 3
  3. (c) 4
  4. (d) More than 4
Answer and solution
Q30

Consider the sequence

AB_CC_A_BCCC_BBC_C that follows a certain pattern. Which one of the following completes the sequence ?

  1. (a) B, C, B, C, A
  2. (b) A, C, B, C, A
  3. (c) B, C, B, A, C
  4. (d) C, B, B, A, C
Answer and solution

Directions · Q31 to Q34

Directions for the following 4 (four) items :
Read the following two passages and answer the items that follow the passages. Your answers to these items should be based on the passages only.

Passage · Q31 to Q32

In our country, regrettably, teaching and learning for the examination have been our forte but the new demands of society and the future of work require critical and independent thinking, learning through doing, asking questions from multiple disciplinary perspectives on the same issue, using evidence for building arguments, and reflecting and articulation. Higher education should not “either be a mere servant of the government policy or a passive respondent to public mood.” Higher learning is all about how to think rather than what to think. Teaching has to be re-invented.

Q31

Which one of the following statements best reflects the central idea conveyed by the passage ?

  1. (a) India does not have enough resources for promoting quality education in its universities.
  2. (b) The institutions of higher learning in the country should not be under the control of the Government.
  3. (c) Classroom approach to higher education should be done away with.
  4. (d) Classroom needs to be reimagined and teaching needs to be re-invented.
Answer and solution
Q32

With reference to the above passage, the following assumptions have been made :

I. Higher education is a constantly evolving subject that needs to align towards new developments in all spheres of society.

II. In our country, sufficient funds are not allocated for promoting higher education.

Which of the above assumptions is/are valid ?

  1. (a) I only
  2. (b) II only
  3. (c) Both I and II
  4. (d) Neither I nor II
Answer and solution

Passage · Q33 to Q34

If there is inequality in the pattern of population growth, there is greater inequality in food production and utilization. As societies become wealthier, their consumption of animal products increases. This means that a greater proportion of such basic foodstuff as grains and legumes that could feed humans directly is instead being converted into feed for poultry and large farm animals. Yet this conversion of plant-based food into animal food for humans is far from efficient. Only 16% of the calories fed to chickens are recovered by us when we eat them. This conversion rate goes down to five to seven per cent in large animals that are fed grain to add fat and some protein before slaughter.

Q33

Which one of the following statements best reflects the crux of the passage ?

  1. (a) There is an urgent need for a public policy to promote the consumption of cereal-based foods in wealthier societies.
  2. (b) Animal-based food is far less efficient than grain/plant-based food in terms of production and utilization.
  3. (c) Plant-based protein should replace the animal-based protein in our daily diets.
  4. (d) Inequality in food production and consumption is inevitable in any fast changing society.
Answer and solution
Q34

With reference to the above passage, the following assumptions have been made :

I. The food manufacturing and processing industries in every country should align their objectives and processes in accordance with the changing needs of the societies.

II. Wealthier societies tend to incur great loss of calories of food materials due to indirect utilization of their agricultural produce.

Which of the above assumptions is/are valid ?

  1. (a) I only
  2. (b) II only
  3. (c) Both I and II
  4. (d) Neither I nor II
Answer and solution
Q35

What is the maximum value of nn such that 7×343×385×1000×2401×777777 \times 343 \times 385 \times 1000 \times 2401 \times 77777 is divisible by 35n35^n ?

  1. (a) 3
  2. (b) 4
  3. (c) 5
  4. (d) 7
Answer and solution
Q36

What is XX in the sequence

24,X,12,18,36,9024,X,12,18,36,90 ?

  1. (a) 18
  2. (b) 12
  3. (c) 9
  4. (d) 6
Answer and solution
Q37

PP and QQ walk along a circular track. They start at 5:00 a.m. from the same point in opposite directions. PP walks at an average speed of 5 rounds per hour and QQ walks at an average speed of 3 rounds per hour. How many times will they cross each other between 5:20 a.m. and 7:00 a.m. ?

  1. (a) 12
  2. (b) 13
  3. (c) 14
  4. (d) 15
Answer and solution
Q38

If P=+,Q=−,R=×,S=÷P=+,Q=-,R= \times ,S= \div, then insert the proper notations between the successive numbers in the equation 60_15_3_20_4 = 20 :

  1. (a) SPRQ
  2. (b) QRPS
  3. (c) QRSP
  4. (d) SPQR
Answer and solution
Q39

A tram overtakes 2 persons XX and YY walking at an average speed of 3 km/hr and 4 km/hr in the same direction and completely passes them in 8 seconds and 9 seconds respectively. What is the length of the tram ?

  1. (a) 15 m
  2. (b) 18 m
  3. (c) 20 m
  4. (d) 24 m
Answer and solution
Q40

If N2=12345678987654321N^2=12345678987654321, then how many digits does the number NN have ?

  1. (a) 8
  2. (b) 9
  3. (c) 10
  4. (d) 11
Answer and solution

Directions · Q41 to Q44

Directions for the following 4 (four) items :
Read the following two passages and answer the items that follow the passages. Your answers to these items should be based on the passages only.

Passage · Q41 to Q42

Over the next 30 years, many countries are promising to move to net-zero carbon, implying that household emissions will have to be cut to close to nothing. A leading climate scientist reckons that, at best, half the reduction might be achieved through demand-side measures, such as behavioural changes by individuals and households. And even that would require companies and governments to provide more incentives to change through supply-side investments to make low-carbon options cheaper and more widely available.

Q41

Which one of the following statements best reflects the central idea conveyed by the passage ?

  1. (a) Moving to net-zero carbon is possible only by the reduction in household emissions.
  2. (b) Low-carbon behaviour in people can be brought about by incentivising them.
  3. (c) Cheaper goods and services can be made available to people by using low-carbon technologies.
  4. (d) Manufacturing industries that use low-carbon technologies should be provided with subsidies.
Answer and solution
Q42

With reference to the above passage, the following assumptions have been made :

I. Supply-side investments in companies can result in low-carbon behaviour in people.

II. People are not capable of adapting low-carbon behaviour without the involvement of Government and Companies.

Which of the above assumptions is/are valid ?

  1. (a) I only
  2. (b) II only
  3. (c) Both I and II
  4. (d) Neither I nor II
Answer and solution

Passage · Q43 to Q44

In only 50 years, the world's consumption of raw materials has nearly quadrupled, to more than 100 billion tons. Less than 9% of this is reused. Batteries of old vehicles contain materials such as lithium, cobalt, manganese and nickel that are pricey and can be hard to obtain. Supply chains are long and complicated. Buyers' risks are being aggravated by their suppliers' poor environmental and labour standards. Reusing materials makes sense. Once batteries reach the ends of their lives, they should go back to a factory where their ingredients can be recovered and put into new batteries.

Q43

Which one of the following statements best reflects the most logical, rational and pragmatic message conveyed by the passage ?

  1. (a) Green economy is not possible without reusing critical minerals.
  2. (b) Every sector of economy should adapt the reuse of material resources immediately.
  3. (c) Circular economy can be beneficial for sustainable growth.
  4. (d) Circular use of material resources is the only option for some industries for their survival.
Answer and solution
Q44

With reference to the above passage, the following assumptions have been made :

I. Automobile factories are examples of the circular economy.

II. Economic growth is compatible with circular use of mineral resources.

Which of the above assumptions is/are valid ?

  1. (a) I only
  2. (b) II only
  3. (c) Both I and II
  4. (d) Neither I nor II
Answer and solution
Q45

A set (X)(X) of 20 pipes can fill 70% of a tank in 14 minutes. Another set (Y)(Y) of 10 pipes fills 3/8th3/8^{th} of the tank in 6 minutes. A third set (Z)(Z) of 16 pipes can empty half of the tank in 20 minutes. If half of the pipes of set XX are closed and only half of the pipes of set YY are open, and all pipes of the set (Z)(Z) are open, then how long will it take to fill 50% of the tank ?

  1. (a) 8 minutes
  2. (b) 10 minutes
  3. (c) 12 minutes
  4. (d) 16 minutes
Answer and solution
Q46

If nn is a natural number, then what is the number of distinct remainders of (1n+2n)(1^n+2^n) when divided by 4 ?

  1. (a) 0
  2. (b) 1
  3. (c) 2
  4. (d) 3
Answer and solution
Q47

Let P=QQQP=QQQ be a 3-digit number. What is the HCF of PP and 481 ?

  1. (a) 1
  2. (b) 13
  3. (c) 37
  4. (d) 481
Answer and solution
Q48

What is the 489th489^{th} digit in the number 123456789101112…123456789101112\dots ?

  1. (a) 0
  2. (b) 3
  3. (c) 6
  4. (d) 9
Answer and solution
Q49

A mobile phone has been stolen. There are 3 suspects P,QP,Q and RR. They were questioned knowing that only one of them is guilty. Their responses are as follows :

P : I did not steal. QQ stole it.

Q : RR did not steal. I did not steal.

R : I did not steal. I do not know who did it.

Who stole the mobile phone ?

  1. (a) P
  2. (b) Q
  3. (c) R
  4. (d) Cannot be concluded
Answer and solution
Q50

Three teams P,Q,RP,Q,R participated in a tournament in which the teams play with one another exactly once. A win fetches a team 2 points and a draw 1 point. A team gets no point for a loss. Each team scored exactly one goal in the tournament. The team PP got 3 points, QQ got 2 points and RR got 1 point. Which of the following statements is/are correct ?

I. The result of the match between PP and QQ is a draw with the score 0−00-0.

II. The number of goals scored by RR against QQ is 1.

Which of the statements given above is/are correct ?

  1. (a) I only
  2. (b) II only
  3. (c) Both I and II
  4. (d) Neither I nor II
Answer and solution

Directions · Q51 to Q54

Directions for the following 4 (four) items :
Read the following two passages and answer the items that follow the passages. Your answer to these items should be based on the passages only.

Passage · Q51 to Q52

It is hard to predict how changes in the climate and the atmosphere's chemistry will affect the prevalence and virulence of agricultural diseases. But there is a risk that such changes will make some plant infections more common in all climatic zones, perhaps catastrophically so. Part of the problem is that centuries of selective breeding have refined the genomes of most high-value crops. They are spectacular at growing in today's conditions but genetic variations that are not immediately useful to them have been bred out. This is good for yields but bad for coping with changes. A minor disease or even an unknown one could suddenly rampage through a genetically honed crop.

Q51

Which one of the following statements best reflects the central idea conveyed by the passage ?

  1. (a) Global climate change adversely affects the productivity of crops.
  2. (b) Our total dependence on genetically honed crops entails possible food insecurity.
  3. (c) Our food security should not depend on agricultural productivity alone.
  4. (d) Genetically honed crops should be replaced with their wild varieties in our present cultivation practices.
Answer and solution
Q52

With reference to the above passage, the following assumptions have been made :

I. Global climate change can result in the migration of several plant diseases to new areas.

II. Scientific understanding of the wild relatives of our present crops would enable us to strengthen food security.

Which of the above assumptions is/are valid ?

  1. (a) I only
  2. (b) II only
  3. (c) Both I and II
  4. (d) Neither I nor II
Answer and solution

Passage · Q53 to Q54

“A good statesman, like any other sensible human being, learns more from his opponents than from his fervent supporters. For his supporters will push him to disaster unless his opponents show him where the dangers are. So if he is wise he will often pray to be delivered from his friends, because they will ruin him. But, though it hurts, he ought also to pray never to be left without opponents; for they keep him on the path of reason and good sense. The national unity of free people depends upon a sufficiently even balance of political power to make it impracticable for the administration to be arbitrary and for opposition to be revolutionary and irreconcilable.”

Q53

Which one of the following statements best reflects the critical message conveyed by the author of the passage ?

  1. (a) Without opposition parties, the administration in a democracy gets to become more responsible.
  2. (b) Democracy needs to have revolutionaries in opposition to keep the government alert.
  3. (c) Rulers in a democracy need the support of opposition for their political survival.
  4. (d) In a democracy, the opposition is indispensable for the balance of political power and good governance.
Answer and solution
Q54

With reference to the above passage, the following assumptions have been made :

I. In a democracy, a strong opposition is required only if the Head of Government is indifferent.

II. The more aggressive the opposition, the better is the governance in a democracy.

Which of the above assumptions is/are valid ?

  1. (a) I only
  2. (b) II only
  3. (c) Both I and II
  4. (d) Neither I nor II
Answer and solution
Q55

PP is the brother of QQ and RR. SS is RR's mother. TT is PP's father. How many of the following statements are definitely true ?

I. SS and TT are a couple.

II. QQ is TT's son.

III. TT is QQ's father.

IV. SS is PP's mother.

V. RR is TT's daughter.

VI. PP is SS's son.

Select the correct answer using the code given below :

  1. (a) Only two
  2. (b) Only three
  3. (c) Only four
  4. (d) Only five
Answer and solution
Q56

If NO is coded as 210, NOT is coded as 4200 and NOTE is coded as 21000, then how is NOTES coded ?

  1. (a) 399000
  2. (b) 420000
  3. (c) 440000
  4. (d) 630000
Answer and solution
Q57

If FRANCE is coded as 654321 and GERMANY is coded as 9158437, then how is YEMEN coded ?

  1. (a) 54321
  2. (b) 81913
  3. (c) 71913
  4. (d) 71813
Answer and solution
Q58

The 5-digit number PQRSTPQRST (all distinct digits) is such that T≠0T \ne 0. PP is thrice TT. SS is greater than QQ by 4, while QQ is greater than RR by 3. How many such 5-digit numbers are possible ?

  1. (a) 3
  2. (b) 4
  3. (c) 5
  4. (d) 6
Answer and solution
Q59

XX can complete one-third of a certain work in 6 days, YY can complete one-third of the same work in 8 days and ZZ can complete three-fourth of the same work in 12 days. All of them work together for nn days and then XX and ZZ quit and YY alone finishes the remaining work in 8238\frac{2}{3} days. What is nn equal to ?

  1. (a) 3
  2. (b) 4
  3. (c) 5
  4. (d) 6
Answer and solution
Q60

What is XX in the sequence

1,3,6,11,18,X,421,3,6,11,18,X,42 ?

  1. (a) 26
  2. (b) 27
  3. (c) 29
  4. (d) 30
Answer and solution

Directions · Q61 to Q63

Directions for the following 3 (three) items :
Read the following two passages and answer the items that follow the passages. Your answers to these items should be based on the passages only.

Passage · Q61 to Q62

There has been no democracy that has grown economically without corporate capitalism. It helps in modernizing the economy and enabling the transition from rural to urban, and agriculture to industry and services, which are inevitable with growth. It generates jobs — and there is no other way to fix a country's unemployment challenge without a further impetus to private business. Big companies can operate on a large scale and become competitive both domestically and externally. A vibrant corporate capitalist base also leads to additional revenues for the State — which in turn, can be used for greater welfare for the marginalized and creating a more level playing field in terms of opportunities.

Q61

Which one of the following statements best reflects the critical message conveyed by the author of the passage ?

  1. (a) Corporate capitalism is important for economic growth of a State and also for democracy.
  2. (b) Corporate capitalism is imperative for a modern State to achieve its political objectives.
  3. (c) No State can ensure its economic survival for long without the role of corporate capitalism.
  4. (d) Corporate capitalism and democracy have mutual dependence for their continued existence.
Answer and solution
Q62

With reference to the above passage, the following assumptions have been made :

I. Corporate capitalism promotes the growth of labour force and provides more employment opportunities.

II. Poor and marginalized sections of population are benefited by corporate capitalism due to trickle-down effect.

Which of the above assumptions is/are valid ?

  1. (a) I only
  2. (b) II only
  3. (c) Both I and II
  4. (d) Neither I nor II
Answer and solution

Passage · Q63

“A network of voluntary associations stands as a ‘buffer’ between the relatively powerless individual and the potentially powerful State.”

Q63

Which one of the following statements reflects the best explanation of the above passage ?

  1. (a) It emphasizes the inability of the State to enforce its will in practice against the opposition of certain groups within it.
  2. (b) It is a cooperative organization for the promotion of the well-being and development of the personality of its members.
  3. (c) It takes individuals out of a state of isolation and gives them a chance to participate in the common endeavour.
  4. (d) It permits citizens to have a variety of loyalties and allegiance.
Answer and solution
Q64

Consider the following statements :

I. There exists a natural number which when increased by 50% can have its number of factors unchanged.

II. There exists a natural number which when increased by 150% can have its number of factors unchanged.

Which of the statements given above is/are correct ?

  1. (a) I only
  2. (b) II only
  3. (c) Both I and II
  4. (d) Neither I nor II
Answer and solution
Q65

There are 7 places A,B,C,D,E,FA,B,C,D,E,F and GG in a city connected by various roads AB,AC,CD,DE,BF,EGAB,AC,CD,DE,BF,EG and FGFG. AA is 6 km south of BB. AA is 10 km west of CC. DD is 5 km east of EE. CC is 6 km north of DD. FF is 9 km west of BB. FF is 12 km north of GG. A person travels from DD to FF through these roads. What is the distance covered by the person ?

  1. (a) 20 km
  2. (b) 25 km
  3. (c) 31 km
  4. (d) 37 km
Answer and solution
Q66

In a certain code if 64 is written as 343 and 216 is written as 729, then how is 512 written in that code ?

  1. (a) 1000
  2. (b) 1331
  3. (c) 1728
  4. (d) 2197
Answer and solution
Q67

What is the remainder when 93+94+95+96+⋯+91009^3+9^4+9^5+9^6+\dots +9^{100} is divided by 6 ?

  1. (a) 0
  2. (b) 1
  3. (c) 2
  4. (d) 3
Answer and solution
Q68

A question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option.

Question :

What is the smallest 1-digit number having exactly 4 distinct factors ?

Statement-I : 2 is one of the factors.

Statement-II : 3 is one of the factors.

Which one of the following is correct in respect of the above Question and the Statements ?

  1. (a) The Question can be answered by using one of the Statements alone, but cannot be answered using the other statement alone.
  2. (b) The Question can be answered by using either Statement alone.
  3. (c) The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone.
  4. (d) The Question can be answered even without using any of the Statements.
Answer and solution
Q69

A question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option.

Question :

Let P,Q,R,SP,Q,R,S be distinct non-zero digits. If PP×PQ=RRSSPP \times PQ=RRSS, where P≤3P \le 3 and Q≤4Q \le 4, then what is QQ equal to ?

Statement-I : R=1R=1.

Statement-II : S=2S=2.

Which one of the following is correct in respect of the above Question and the Statements ?

  1. (a) The Question can be answered by using one of the Statements alone, but cannot be answered using the other statement alone.
  2. (b) The Question can be answered by using either Statement alone.
  3. (c) The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone.
  4. (d) The Question can be answered even without using any of the Statements.
Answer and solution
Q70

A question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option.

Question :

How is QQ related to PP ?

Statement-I : PP has two sisters, RR and SS.

Statement-II : RR's father is the brother of QQ.

Which one of the following is correct in respect of the above Question and the Statements ?

  1. (a) The Question can be answered by using one of the Statements alone, but cannot be answered using the other statement alone.
  2. (b) The Question can be answered by using either Statement alone.
  3. (c) The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone.
  4. (d) The Question cannot be answered even using any of the Statements.
Answer and solution

Directions · Q71 to Q72

Directions for the following 2 (two) items :
Read the following two passages and answer the items that follow the passages. Your answers to these items should be based on the passages only.

Passage · Q71

A single number for inflation is an aggregate across different commodities and services — the price rise differs for different items of consumption. So, the single number is arrived at by assigning weights to different commodities and services. For WPI, the weights in production are used; for CPI, the consumption basket is used. But people are not homogeneous. The consumption basket is vastly different for the poor, the middle classes, and the rich. Hence, the CPI is different for each of these classes and a composite index requires averaging the baskets.

Q71

Which one of the following statements best reflects the most logical, rational and crucial message conveyed by the passage ?

  1. (a) We must use WPI exclusively in measuring price rise and CPI should be done away with.
  2. (b) The present calculation of inflation rate does not correctly measure price rise of individual item/commodity.
  3. (c) Inflation data under-presents services in the consumption basket.
  4. (d) Knowledge of inflation rate is not really of any use to anybody in the country.
Answer and solution

Passage · Q72

Trust stands commonly defined as being vulnerable to others. Entrepreneurship implies trust in others and willingness to expose oneself to betrayal. Trust in expert systems is the essence of globalizing behaviour; trust itself emerges as a super-commodity in the social market and defines the characteristics of goods and services in a global market. Trusting conduct also means holding others in good esteem, and an optimism that they are, or will be, competent in certain respects.

Q72

Which one of the following statements best reflects the crux of the passage ?

  1. (a) Trustworthiness cannot be expected in entrepreneurship.
  2. (b) Trustworthy people are the most vulnerable people.
  3. (c) No economic activity is possible without being exposed to betrayal.
  4. (d) Trust is important though it entails risk.
Answer and solution
Q73

A question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option.

Question :

In a football match, team PP playing against QQ was behind by 3 goals with 10 minutes remaining. Does team PP win the match ?

Statement-I : Team PP scored 4 goals in the last 10 minutes.

Statement-II : Team QQ scored a total of 4 goals in the match.

Which one of the following is correct in respect of the above Question and the Statements ?

  1. (a) The Question can be answered by using one of the Statements alone, but cannot be answered using the other statement alone.
  2. (b) The Question can be answered by using either Statement alone.
  3. (c) The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone.
  4. (d) The Question cannot be answered even using any of the Statements.
Answer and solution
Q74

A question is given followed by two Statements I and II. Consider the Question and the Statements and mark the correct option.

Question :

Is (p+q)2−4pq(p+q)^2-4pq, where p,qp,q are natural numbers, positive ?

Statement-I : p<qp<q.

Statement-II : p>qp>q.

Which one of the following is correct in respect of the above Question and the Statements ?

  1. (a) The Question can be answered by using one of the Statements alone, but cannot be answered using the other statement alone.
  2. (b) The Question can be answered by using either Statement alone.
  3. (c) The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone.
  4. (d) The Question can be answered even without using any of the Statements.
Answer and solution
Q75

In a T20 cricket match, three players X,YX,Y and ZZ scored a total of 37 runs. The ratio of number of runs scored by XX to the number of runs scored by YY is equal to ratio of number of runs scored by YY to number of runs scored by ZZ.

Value−I=RunsscoredbyXValue-I=Runs scored by X

Value−II=RunsscoredbyYValue-II=Runs scored by Y

Value−III=RunsscoredbyZValue-III=Runs scored by Z

Which one of the following is correct ?

  1. (a) Value−I<Value−II<Value−IIIValue-I<Value-II<Value-III
  2. (b) Value−III<Value−II<Value−IValue-III<Value-II<Value-I
  3. (c) Value−I<Value−III<Value−IIValue-I<Value-III<Value-II
  4. (d) Cannot be determined due to insufficient data
Answer and solution
Q76

Let p+q=10p+q=10, where p,qp,q are integers.

Value−I=Maximumvalueofp×qwhenp,qarepositiveintegers.Value-I=Maximum value of p \times q when p,q are positive integers.

Value−II=Maximumvalueofp×qwhenp≥−6,q≥−4.Value-II=Maximum value of p \times q when p \ge -6,q \ge -4.

Which one of the following is correct ?

  1. (a) Value−I<Value−IIValue-I<Value-II
  2. (b) Value−II<Value−IValue-II<Value-I
  3. (c) Value−I=Value−IIValue-I=Value-II
  4. (d) Cannot be determined due to insufficient data
Answer and solution
Q77

Consider a set of 11 numbers :

Value−I=Minimumvalueoftheaverageofthenumbersofthesetwhentheyareconsecutiveintegers≥−5.Value-I=Minimum value of the average of the numbers of the set when they are consecutive integers \ge -5.

Value−II=Minimumvalueoftheproductofthenumbersofthesetwhentheyareconsecutivenon−negativeintegers.Value-II=Minimum value of the product of the numbers of the set when they are consecutive non-negative integers.

Which one of the following is correct ?

  1. (a) Value−I<Value−IIValue-I<Value-II
  2. (b) Value−II<Value−IValue-II<Value-I
  3. (c) Value−I=Value−IIValue-I=Value-II
  4. (d) Cannot be determined due to insufficient data
Answer and solution
Q78

The average of three numbers p,qp,q and rr is kk. pp is as much more than the average as qq is less than the average. What is the value of rr ?

  1. (a) kk
  2. (b) k−1k-1
  3. (c) k+1k+1
  4. (d) k/2k/2
Answer and solution
Q79

Let xx be a real number between 0 and 1. Which of the following statements is/are correct ?

I. x2>x3x^2>x^3.

II. x>xx>\sqrt{x}.

Select the correct answer using the code given below :

  1. (a) I only
  2. (b) II only
  3. (c) Both I and II
  4. (d) Neither I nor II
Answer and solution
Q80

The difference between any two natural numbers is 10. What can be said about the natural numbers which are divisible by 5 and lie between these two numbers ?

  1. (a) There is only one such number.
  2. (b) There are only two such numbers.
  3. (c) There can be more than one such number.
  4. (d) No such number exists.
Answer and solution