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CSAT 2023PYQ

Complete UPSC Civil Services Preliminary Examination General Studies Paper-II / CSAT question paper for 2023.

80Questions
3Subjects
19Topics
QUESTION PAPER

2023 CSAT Questions

All 80 questions from the 2023CSAT paper, classified by subject, topic and subtopic.

Practice 2023 →
Q1
Reading ComprehensionReading ComprehensionInference
PASSAGE

We often hear about conflicts among different States in India over river waters. Of the 20 major river systems, 14 are already water-stressed; 75% of the population lives in water-stressed regions, a third of whom live in water-scarce areas. Climate change, the demands of rising population and the need for agriculture to keep pace, and increased rate of urbanization and industrialization will exacerbate water stress. According to the Constitution of India, water is a State subject and not that of the Union, except for regulation of inter-State rivers. Key to ensuring balance between competing demands of various stakeholders is a basin-based approach to allocate water amongst constituent regions and States. Allocating fair share of water to them requires assessments based on objective criteria, such as specificities of the river basin, size of dependent population, existing water use and demand, efficiency of use, projected future use, etc. while ensuring the environmental needs of the river and aquifers.

Which one of the following statements best reflects the most rational, practical and immediate action required to ensure fair and equitable allocation of water to different stakeholders?

AA national, pragmatic, legal and policy framework for water allocation should be made.
BAll river systems of the country should be linked and huge aquifers created.
CWater channels between regions of water surplus and regions of water deficit should be created.
DTo mitigate water crisis, water demand of sectors such as agriculture and industry should be reduced.
Show answer & explanation
ANSWERA
EXPLANATION

The passage emphasizes a basin-based, objective and coordinated allocation framework.

Q2
Reading ComprehensionReading ComprehensionInference
PASSAGE

More than half of Indian women and almost a quarter of Indian men of working age suffer from anaemia. According to studies, they are anywhere from 5–15% less productive than they could be, as a result thereof. India also has the largest tuberculosis burden in the world, costing 170 million workdays to the country annually. But what is just as important as lost productivity now is lost potential in the future. It is becoming increasingly clear that on many measures of cognitive ability, malnourished Indian children perform two or three times worse than their adequately nourished peers. For an economy that will be more dependent on highly skilled workers, this poses a significant challenge. And it is one that really should be addressed given India's demographic outlook.

Which one of the following statements best reflects what is implied by the passage?

AEducation system must be strengthened in rural areas.
BLarge scale and effective implementation of skill development programme is the need of the hour.
CFor economic development, health and nutrition of only skilled workers needs special attention.
DFor rapid economic growth as envisaged by us, attention should be paid to health and nutrition of the people.
Show answer & explanation
ANSWERD
EXPLANATION

Health and nutrition affect present productivity and future human capital, so they require broad attention.

Q3
Reading ComprehensionReading ComprehensionMain Idea / Central Theme
PASSAGE

In India, a majority of farmers are marginal and small, less educated and possess low adaptive capabilities to climate change, perhaps because of credit and other constraints. So, one cannot expect autonomous adaptation to climate change. Even if it was possible, it would not be sufficient to offset losses from climate change. To deal with this, adaptation to climate change is paramount, alongside a fast mitigation response. Another solution is to have a planned or policy-driven adaptation, which would require the government to come up with policy recommendations. Perception is a necessary prerequisite for adaptation. Whether farmers are adapting agricultural practices to climate change depends on whether they perceive it or not. However, this is not always enough for adaptation. It is important how a farmer perceives the risks associated with climate change.

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

AAdaptation to climate change and mitigation response are basically the responsibilities of the government.
BClimate change causes a change in government policies regarding land use patterns in the country.
CRisk perceptions of farmers are important for motivating them for taking adaptation decisions.
DSince mitigation is not possible, governments should come up with policies for quick response to climate change.
Show answer & explanation
ANSWERC
EXPLANATION

The passage explicitly treats risk perception as a prerequisite for adaptation.

Q4
Quantitative AptitudePermutation and CombinationPigeonhole Principle

Raj has ten pairs of red, nine pairs of white and eight pairs of black shoes in a box. If he randomly picks shoes one by one (without replacement) from the box to get a red pair of shoes to wear, what is the maximum number of attempts he has to make?

A27
B36
C44
D45
Show answer & explanation
ANSWERD
EXPLANATION

In the worst case, all 34 non-red shoes can be drawn first. Then 10 red shoes could be drawn with each belonging to a different red pair; the 45th shoe must complete a red pair, so the maximum is 45.

Q5
Quantitative AptitudePermutation and CombinationCombinations

In how many ways can a batsman score exactly 25 runs by scoring single runs, fours and sixes only, irrespective of the sequence of scoring shots?

A18
B19
C20
D21
Show answer & explanation
ANSWERB
EXPLANATION

Solve a+4b+6c=25 in non-negative integers; counting the feasible combinations gives 19.

Q6
Quantitative AptitudePermutation and CombinationCounting Applications

There are four letters and four envelopes and exactly one letter is to be put in exactly one envelope with the correct address. If the letters are randomly inserted into the envelopes, then consider the following statements: 1. It is possible that exactly one letter goes into an incorrect envelope. 2. There are only six ways in which only two letters can go into the correct envelopes. Which of the statements given above is/are correct?

A1 only
B2 only
CBoth 1 and 2
DNeither 1 nor 2
Show answer & explanation
ANSWERB
EXPLANATION

Exactly one misplaced letter is impossible; choosing two correct placements and swapping the other two gives 6 arrangements.

Q7
Quantitative AptitudeNumber SystemRemainders

What is the remainder when 85 × 87 × 89 × 91 × 95 × 96 is divided by 100?

A0
B1
C2
D4
Show answer & explanation
ANSWERA
EXPLANATION

The product contains factors 25 and 4, hence is divisible by 100.

Q8
Quantitative AptitudeNumber SystemDigits & Number Formation

What is the unit digit in the expansion of (57242)^(9×7×5×3×1)?

A2
B4
C6
D8
Show answer & explanation
ANSWERA
EXPLANATION

The base ends in 2; the exponent is 945 and 945 mod 4=1, so the unit digit is 2.

Q9
Quantitative AptitudeNumber SystemDigits & Number Formation

If ABC and DEF are both 3-digit numbers such that A, B, C, D, E, and F are distinct non-zero digits such that ABC+ DEF= 1111, then what is the value of A+B+C+D+E+F?

A28
B29
C30
D31
Show answer & explanation
ANSWERD
EXPLANATION

Column-wise addition gives digit-pair sums 11, 10 and 10, totaling 31.

Q10
Quantitative AptitudeNumber SystemDigits & Number Formation

D is a 3-digit number such that the ratio of the number to the sum of its digits is least. What is the difference between the digit at the hundred's place and the digit at the unit's place of D?

A0
B7
C8
D9
Show answer & explanation
ANSWERC
EXPLANATION

The minimizing three-digit number has the required hundred-unit digit difference of 8.

Q11
Reading ComprehensionReading ComprehensionMain Idea / Central Theme
PASSAGE

The emissions humans put into the atmosphere now will affect the climate in the middle of the century and onwards. Technological change, meanwhile, could make a future transition away from fossil fuels cheap or it might not, leaving the world with a terrible choice between sharply reducing emissions at huge cost or suffering through the effects of unabated warming. Businesses that do not hedge against the threat of uncertain outcomes fail. The world cannot afford such recklessness on climate change.

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

ABusinesses that cause emissions may need to close down or pay for pollution in future.
BThe only solution is technological development related to the issues of climate change.
CWaiting to deal with carbon emissions until technology improves is not a wise strategy.
DSince future technological change is uncertain, new industries should be based on renewable energy sources.
Show answer & explanation
ANSWERC
EXPLANATION

The author warns against delaying emission reduction while waiting for uncertain future technology.

Q12
Reading ComprehensionReading ComprehensionAssumption
PASSAGE

Environmental problems cause health problems. Substantial changes in lifestyle can reduce environmental or health problems, but this idea appears almost impossible to adopt. With environmental problems, individual efforts can be perceived as having a negligible effect and therefore lead to inertia. With health, on the other hand, individual choices can make the difference between life and death, literally. And yet, barring a few, there seems to be the same collective lethargy towards making their choices.

Which one of the following statements best implies the most rational assumption that can be made from the passage?

AWe are likely to spend more money on cure than prevention.
BIt is the job of the government to solve our environmental and public health problems.
CHealth can be protected even if environmental problems go on unattended.
DLoss of traditional lifestyle and the influence of western values led to some unhealthy way of living.
Show answer & explanation
ANSWERA
EXPLANATION

Collective reluctance toward preventive lifestyle changes implies greater reliance on cure.

Q13
Reading ComprehensionReading ComprehensionMain Idea / Central Theme
PASSAGE

Many people are not eating the right food. For some, it is simply a decision to stick with food they enjoy but which is not too healthy. This is leading to an increase in non-communicable diseases. This, in turn, leads to a major burden on our health-care systems that have the potential to derail the economic progress which is essential for the poor to improve their lives. For others, it is about limited access to nutritious food or a lack of affordability, leading to monotonous diets that do not provide the daily nutrients for them to develop fully. Part of the reason nutrition is under threat worldwide is that our food systems are not properly responding to nutritional needs. Somewhere along that long road from farm to fork, there are serious detours taking place.

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

AThe scheme of Universal Basic Income should be implemented worldwide as a way of poverty alleviation.
BWe must place food-based nutrition at the centre of our policy debate.
CNutritional status of food should be improved by creating appropriate genetically modified crops.
DUsing modern food processing technologies, we must fortify food items with required nutrient elements.
Show answer & explanation
ANSWERB
EXPLANATION

The passage presents nutrition as a systemic policy issue affecting health and economic progress.

Q14
Quantitative AptitudeNumber SystemParity (Odd/Even)

Three of the five positive integers p, q, r, s, t are even and two are odd. Consider: 1. p+q+r−s−t is definitely even. 2. 2p+q+2r−2s+t is definitely odd. Which statements are correct?

A1 Only
B2 Only
CBoth 1 and 2
DNeither 1 nor 2
Show answer & explanation
ANSWERA
EXPLANATION

Statement 1 is always even; statement 2 can vary in parity.

Q15
Quantitative AptitudeNumber SystemPrime Numbers

Consider the following in respect of prime number p and composite number c. 1. (p+c)/(p−c) can be even. 2. p+c can be odd. 3. pc can be odd. Which statements are correct?

A1 and 2 only
B2 and 3 only
C1 and 3 only
D1, 2 and 3
Show answer & explanation
ANSWERD
EXPLANATION

Each statement can be satisfied by suitable prime/composite choices.

Q16
Quantitative AptitudeNumber SystemDigits & Number Formation

A 3-digit number ABC, on multiplication with D gives 37DD where A, B, C and D are different non-zero digits. What is the value of A+B+C?

A18
B16
C15
DCannot be determined due to insufficient data
Show answer & explanation
ANSWERA
EXPLANATION

Testing D gives the valid solution D=4 and ABC=936, so A+B+C=18.

Q17
Quantitative AptitudeNumber SystemDivisibility

For any choices of values of X, Y and Z, the 6 digit number of the form XYZXYZ is divisible by:

A7 and 11 only
B11 and 13 only
C7 and 13 only
D7, 11 and 13
Show answer & explanation
ANSWERD
EXPLANATION

XYZXYZ=XYZ×1001 and 1001=7×11×13.

Q18
Logical ReasoningCubes and DiceCube / Dice Problems

125 identical cubes are arranged in the form of cubical block. How many cubes are surrounded by other cubes from each side?

A27
B25
C21
D18
Show answer & explanation
ANSWERA
EXPLANATION

A 5×5×5 block has an internal 3×3×3 block, hence 27.

Q19
Quantitative AptitudePermutation and CombinationPermutations / Arrangements

How many distinct 8-digit numbers can be formed by rearranging the digits of the number 11223344 such that odd digits occupy odd positions and even digits occupy even positions?

A12
B18
C36
D72
Show answer & explanation
ANSWERC
EXPLANATION

There are 6 arrangements for the odd digits and 6 for the even digits: 36.

Q20
Quantitative AptitudeTime and WorkWork & Time

A, B, C working independently can do a piece of work in 8, 16 and 12 days respectively. A works Monday, B Tuesday, C Wednesday, A Thursday and so on. Consider: 1. The work will be finished on Thursday. 2. The work will be finished in 10 days. Which are correct?

A1 Only
B2 Only
CBoth 1 and 2
DNeither 1 nor 2
Show answer & explanation
ANSWERA
EXPLANATION

Using rates 6,3,4 over repeating three-day cycles, completion occurs on day 11, a Thursday; only statement 1 is true.

Q21
Reading ComprehensionReading ComprehensionInference
PASSAGE

To tackle the problem of pollution in cities, policymakers think that drastic actions like temporary use of odd-even number scheme for vehicles, closing schools, factories, construction activities, and banning the use of certain types of vehicles are a way forward. Even then the air is not clean. Vehicles more than 15 years old comprise one percent of the total, and taking them off the road will not make any difference. Banning certain fuels and car types arbitrarily is not proper. Diesel engines produce more PM 2.5 and less CO2 than petrol or CNG engines. On the other hand, both diesel and CNG engines produce more NOx than petrol engines. No one has measured the amount of NOx that CNG engines are emitting. Arbitrary bans on vehicles that have passed mandated fitness tests and periodic pollution tests are unfair. What is needed is the scientific and reliable information about the source of pollutants on a continuing basis and the technologies that will work to reduce pollution from them.

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

AArbitrary curbs on vehicles to reduce pollution are difficult to implement.
BKnee-jerk reactions cannot solve the problem of pollution but an evidence-based approach will be more effective.
CA heavy penalty should be enforced on those driving without periodic pollution tests.
DIn the absence of laws to deal with the problem of pollution, the administration tends to make arbitrary decisions.
Show answer & explanation
ANSWERB
EXPLANATION

The passage calls for scientific, reliable information instead of arbitrary measures.

Q22
Reading ComprehensionReading ComprehensionInference
PASSAGE

Good corporate governance structures encourage companies to provide accountability and control. A fundamental reason why corporate governance has moved onto the economic and political agenda worldwide has been the rapid growth in international capital markets. Effective corporate governance enhances access to external financing by firms, leading to greater investment, higher growth and employment. Investors look to place their funds where the standards of disclosure, of timely and accurate financial reporting, and of equal treatment to all stakeholders are met.

Which of the following statements best reflects the logical inference from the passage given above?

AIt is an important agenda of the countries around the world to ensure access to good external financing.
BGood corporate governance improves the credibility of the firms.
CInternational capital markets ensure that the firms maintain good corporate governance.
DGood corporate governance paves the way for robust supply chains.
Show answer & explanation
ANSWERB
EXPLANATION

Good governance improves disclosure, accountability and investor confidence, strengthening credibility.

Q23
Reading ComprehensionReading ComprehensionInference
PASSAGE

Elephants are landscape architects, creating clearings in the forest, preventing overgrowth of certain plant species and allowing space for the regeneration of others, which in turn provide sustenance to other herbivorous animals. Elephants eat plants, fruits and seeds, propagating the seeds when they defecate in other places as they travel. Elephant dung provides nourishment to plants and animals and acts as a breeding ground for insects. In times of drought, they access water by digging holes which benefits other wildlife.

Which one of the following statements best reflects the most logical and rational inference that can be drawn from the passage?

AThe home range of elephants needs to be a vast area of rich biodiversity.
BElephants are the keystone species and they benefit the biodiversity.
CRich biodiversity cannot be maintained in the forests without the presence of elephants.
DElephants are capable of regenerating forests with species as per their requirement.
Show answer & explanation
ANSWERB
EXPLANATION

The passage describes multiple ecosystem functions of elephants that support biodiversity.

Q24
Logical ReasoningMathematical OperationsOperator / Symbol Problems

If 7 ⨁ 9 ⨁ 10 = 8, 9 ⨁ 11 ⨁ 30 = 5, 11 ⨁ 17 ⨁ 21 = 13, what is the value of 23 ⨁ 4 ⨁ 15?

A6
B8
C13
D15
Show answer & explanation
ANSWERA
EXPLANATION

Add the inputs and then sum the digits: 23+4+15=42, giving 6.

Q25
Quantitative AptitudeNumber SystemFactors, HCF & LCM

Let x be a positive integer such that 7x + 96 is divisible by x. How many values of x are possible?

A10
B11
C12
DInfinitely many
Show answer & explanation
ANSWERC
EXPLANATION

x must divide 96=2^5×3, which has 12 positive divisors.

Q26
Quantitative AptitudeNumber SystemDigits & Number Formation

If p, q, r and s are distinct single digit positive numbers, then what is the greatest value of (p + q)(r + s)?

A230
B225
C224
D221
Show answer & explanation
ANSWERB
EXPLANATION

Using 9,8,7,6 and balancing the pair sums gives 15×15=225.

Q27
Quantitative AptitudeNumber SystemRemainders

A number N is formed by writing 9 for 99 times. What is the remainder if N is divided by 13?

A11
B9
C7
D1
Show answer & explanation
ANSWERA
EXPLANATION

N=10^99−1; modulo 13 the power cycle has length 6, giving remainder 11.

Q28
Quantitative AptitudeNumber SystemDigits & Number Formation

Each digit of a 9-digit number is 1. It is multiplied by itself. What is the sum of the digits of the resulting number?

A64
B80
C81
D100
Show answer & explanation
ANSWERC
EXPLANATION

The square of the nine-1s repunit has digit sum 9^2=81.

Q29
Quantitative AptitudeNumber SystemDigits & Number Formation

What is the sum of all digits which appear in all the integers from 10 to 100?

A855
B856
C910
D911
Show answer & explanation
ANSWERB
EXPLANATION

Digits in 10–99 sum to 855; adding the digit sum of 100 gives 856.

Q30
Quantitative AptitudeGeometry and MensurationGeometric Counting

ABCD is a square. One point on each of AB and CD; and two distinct points on each of BC and DA are chosen. How many distinct triangles can be drawn using any three points as vertices out of these six points?

A16
B18
C20
D24
Show answer & explanation
ANSWERC
EXPLANATION

There are six selected points and no three are collinear, so C(6,3)=20 triangles.

Q31
Reading ComprehensionReading ComprehensionAssumption
PASSAGE

In India, the segregation of municipal waste at source is rare. Recycling is mostly with the informal sector. More than three-fourths of the municipal budget goes into collection and transportation, which leaves very little for processing/resource recovery and disposal. Where does waste-to-energy fit into all this? Ideally, it fits in the chain after segregation (between wet waste and rest), collection, recycling, and before getting to the landfill. Which technology is most appropriate in converting waste to energy depends on what is in the waste (that is biodegradable versus non-biodegradable component) and its calorific value. The biodegradable component of India's municipal solid waste is a little over 50 per cent, and biomethanation offers a major solution for processing this.

Based on the above passage, the following assumptions have been made: 1. Collection, processing and segregation of municipal waste should be with government agencies. 2. Resource recovery and recycling require technological inputs that can be best handled by private sector enterprises. Which assumptions are correct?

A1 only
B2 only
CBoth 1 and 2
DNeither 1 nor 2
Show answer & explanation
ANSWERD
EXPLANATION

The passage does not assign these responsibilities to government or private sector; neither assumption follows.

Q32
Reading ComprehensionReading ComprehensionMain Idea / Central Theme
PASSAGE

In India, the segregation of municipal waste at source is rare. Recycling is mostly with the informal sector. More than three-fourths of the municipal budget goes into collection and transportation, which leaves very little for processing/resource recovery and disposal. Where does waste-to-energy fit into all this? Ideally, it fits in the chain after segregation (between wet waste and rest), collection, recycling, and before getting to the landfill. Which technology is most appropriate in converting waste to energy depends on what is in the waste (that is biodegradable versus non-biodegradable component) and its calorific value. The biodegradable component of India's municipal solid waste is a little over 50 per cent, and biomethanation offers a major solution for processing this.

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

AGeneration of energy from municipal solid waste is inexpensive.
BBiomethanation is the most ideal way of generating energy from municipal solid waste.
CSegregation of municipal solid waste is the first step in ensuring the success of waste-to-energy plants.
DThe biodegradable component of India's municipal solid waste is not adequate to provide energy from waste efficiently/effectively.
Show answer & explanation
ANSWERC
EXPLANATION

The passage places segregation before the waste-to-energy stage and stresses its importance.

Q33
Reading ComprehensionReading ComprehensionAssumption
PASSAGE

There is a claim that organic farming is inherently safer and healthier. The reality is that because the organic farming industry is still young and not well-regulated in India, farmers and consumers, alike, are not only confused about what products are best for them, but sometimes use products in ways that could harm them as well. For example, since organic fertilizers are difficult to obtain on a large scale in India, farmers often use farmyard manure, which may contain toxic chemicals and heavy metals. Certain plant sprays, such as Datura flower and leaf spray, have an element called atropine. If it is not applied in the right dose, it can act on the nervous system of the consumer. Unfortunately, how much and when to use it are not well-researched or regulated issues.

Based on the above passage, the following assumptions have been made: 1. Organic farming is inherently unsafe for both farmers and consumers. 2. Farmers and consumers need to be educated about eco-friendly food. Which assumptions are correct?

A1 only
B2 only
CBoth 1 and 2
DNeither 1 nor 2
Show answer & explanation
ANSWERB
EXPLANATION

The passage does not establish inherent unsafety but does support the need for better education.

Q34
Reading ComprehensionReading ComprehensionMain Idea / Central Theme
PASSAGE

There is a claim that organic farming is inherently safer and healthier. The reality is that because the organic farming industry is still young and not well-regulated in India, farmers and consumers, alike, are not only confused about what products are best for them, but sometimes use products in ways that could harm them as well. For example, since organic fertilizers are difficult to obtain on a large scale in India, farmers often use farmyard manure, which may contain toxic chemicals and heavy metals. Certain plant sprays, such as Datura flower and leaf spray, have an element called atropine. If it is not applied in the right dose, it can act on the nervous system of the consumer. Unfortunately, how much and when to use it are not well-researched or regulated issues.

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

AIn India, organic farming should not be promoted as a substitute for conventional farming.
BThere are no safe organic alternatives to chemical fertilizers.
CIn India, farmers need to be guided and helped to make their organic farming sustainable.
DThe aim of organic farming should not be to generate huge profits as there is still no global market for its products.
Show answer & explanation
ANSWERC
EXPLANATION

The practical message is better guidance, regulation and sustainable organic practice.

Q35
Reading ComprehensionReading ComprehensionAssumption
PASSAGE

Food consumption patterns have changed substantially in India over the past few decades. This has resulted in the disappearance of many nutritious foods such as millets. While food grain production has increased over five times since independence, it has not sufficiently addressed the issue of malnutrition. For long, the agriculture sector focused on increasing food production, particularly staples, which led to lower production and consumption of indigenous traditional crops/grains, fruits, and other vegetables, impacting food and nutrition security in the process. Further, intensive, monoculture agriculture practices can perpetuate the food and nutrition security problem by degrading the quality of land, water, and food derived through them.

Based on the above passage, the following assumptions have been made: 1. To implement the Sustainable Development Goals and achieve zero-hunger, monoculture practices are inevitable even if they do not address malnutrition. 2. Dependence on a few crops has negative consequences for human health and the ecosystem. 3. Government policies regarding food planning need to incorporate nutritional security. 4. For present monoculture practices, farmers receive subsidies and remunerative prices and therefore do not tend to consider crop diversity. Which assumptions are valid?

A1, 2 and 4 only
B2 and 3 only
C3 and 4 only
D1, 2, 3 and 4
Show answer & explanation
ANSWERD
EXPLANATION

The passage supports statements 2 and 3, not the stronger claims in 1 and 4.

Q36
Logical ReasoningPuzzlesLogic Puzzles & Scheduling

A box contains 14 black balls, 20 blue balls, 26 green balls, 28 yellow balls, 38 red balls and 54 white balls. Consider: 1. The smallest n such that any n balls drawn must contain one full group of at least one colour is 175. 2. The smallest m such that any m balls drawn must contain at least one ball of each colour is 167. Which statements are correct?

A1 only
B2 only
CBoth 1 and 2
DNeither 1 nor 2
Show answer & explanation
ANSWERC
EXPLANATION

Worst-case counts are 174 and 166 respectively, so both stated thresholds are correct.

Q37
Logical ReasoningCoding-DecodingLetter / Number Coding

If 'ZERO' is written as 'CHUR', then how is 'PLAYER' written?

ASOCACT
BSODBGT
CSODBHT
DSODBHU
Show answer & explanation
ANSWERD
EXPLANATION

Every letter is shifted three places forward, with wraparound.

Q38
Logical ReasoningRanking & OrderingRanking & Position

Consider: 1. A is older than B. 2. C and D are of the same age. 3. E is the youngest. 4. F is younger than D. 5. F is older than A. How many statements are required to determine the oldest person/persons?

AOnly two
BOnly three
COnly four
DAll five
Show answer & explanation
ANSWERD
EXPLANATION

All five statements are needed to establish the full ordering and identify C and D as oldest.

Q39
Logical ReasoningBlood RelationsFamily Relations

There are 5 members A, B, C, D, E in a family. What is the relation of E to B? 1. A and B are a married couple. 2. D is the father of C. 3. E is D's son. 4. A and C are sisters. Which option is correct?

AStatement-1, Statement-2 and Statement-3 are sufficient.
BStatement-1, Statement-3 and Statement-4 are sufficient.
CAll four statements together are sufficient.
DAll four statements are not sufficient.
Show answer & explanation
ANSWERC
EXPLANATION

All four statements together establish E as B's brother-in-law.

Q40
Quantitative AptitudeNumber SystemPrime Numbers

Choose the group which is different from the others:

A17, 37, 47, 97
B31, 41, 53, 67
C71, 73, 79, 83
D83, 89, 91, 97
Show answer & explanation
ANSWERD
EXPLANATION

Only the fourth group contains a composite number, 91.

Q41
Reading ComprehensionReading ComprehensionAssumption
PASSAGE

Scientists studied the vernal window — transition period from winter to the growing season. They found that warmer winters with less snow resulted in a longer lag time between spring events and a more protracted vernal window. This change in the spring timetable has ecological, social and economic consequences — for agriculture, fisheries, and tourism. As the ice melts earlier, the birds don't return, causing a delay or lengthening in springtime ecological events.

With reference to the above passage, the following assumptions have been made: 1. Global warming is causing spring to come early and for longer durations. 2. Early spring and longer period of spring is not good for bird populations. Which assumptions are correct?

A1 only
B2 only
CBoth 1 and 2
DNeither 1 nor 2
Show answer & explanation
ANSWERA
EXPLANATION

The passage states that warmer winters with less snow produce a longer/protracted spring window; the stronger claim about bird populations being 'not good' is not itself stated as a general assumption. Thus only statement 1 is taken as valid.

Q42
Reading ComprehensionReading ComprehensionMain Idea / Central Theme
PASSAGE

A global analysis of nitrogen use efficiency — a measure of the amount of nitrogen a plant takes in to grow versus what is left behind as pollution — says that using too much fertilizers will lead to increased pollution of waterways and the air. Currently, the global average for nitrogen use efficiency is approximately 0.4, meaning 40 per cent of the total nitrogen added to cropland goes into the harvested crop while 60 per cent is lost to the environment. More than half of the world's population is nourished by food grown with fertilizers containing synthetic nitrogen, which is needed to produce high crop yields. Plants take the nitrogen they need to grow, and the excess is left in the ground, water and air. This results in significant emissions of nitrous oxide, a potent greenhouse and ozone-depleting gas, and other forms of nitrogen pollution, including eutrophication of lakes and rivers and contamination of river water.

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

AAn enhanced efficiency of use of nitrogen is imperative for both food production and environment.
BProduction of synthetic nitrogen fertilizers cannot be stopped as it will adversely affect global food security.
CAlternatives to crops that require excess of nitrogen should be identified and cultivated.
DConventional agriculture using synthetic fertilizers should be replaced with agroforestry, agroecosystems and organic farming.
Show answer & explanation
ANSWERA
EXPLANATION

The passage supports improving nitrogen-use efficiency rather than abandoning synthetic nitrogen outright.

Q43
Reading ComprehensionReading ComprehensionMain Idea / Central Theme
PASSAGE

Along with sustainable lifestyles, climate justice is regarded as a significant principle in environmental parlance. Both principles have bearings on the political and economic choices of the nation. So far, in our climate change summits or compacts, both principles have eluded consensus among nations. Justice, in the judicial sense, is well defined. However, in the context of climate change, it has scientific as well as socio-political connotations. The crucial question in the next few years will be how resources, technologies and regulations are used to support the victims of climate change. Justice in climate is not confined to actions relating to mitigation, but includes the wider notion of support for adaptation to climate change and compensation for loss and damage.

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

AClimate justice should be ingrained in detail in the rules of all the new climate compacts/agreements.
BEnvironmental resources are unevenly distributed and exploited across the globe.
CThere is an impending issue of dealing with a huge number of climate change victims/climate refugees.
DClimate change in all its connotations is mostly due to developed countries and therefore their share of burden should be more.
Show answer & explanation
ANSWERA
EXPLANATION

The passage broadens climate justice to adaptation support and compensation, which should inform climate compacts.

Q44
Quantitative AptitudePercentageBasic Percentage

A principal P becomes Q in 1 year when compounded half-yearly with R% annual rate of interest. If the same principal P becomes Q in 1 year when compounded annually with S% annual rate of interest, which is correct?

AR = S
BR > S
CR < S
DR ≤ S
Show answer & explanation
ANSWERC
EXPLANATION

For equal effective returns, S=R+R²/400, so S>R.

Q45
Quantitative AptitudeNumber SystemFactors, HCF & LCM

How many natural numbers are there which give a remainder of 31 when 1186 is divided by these natural numbers?

A6
B7
C8
D9
Show answer & explanation
ANSWERD
EXPLANATION

The divisor must divide 1155 and exceed 31; there are 9 such divisors.

Q46
Quantitative AptitudeNumber SystemDigits & Number Formation

Let pp, qq and rr be 2-digit numbers where p<q<r. If pp+qq+rr=tt0, where tt0 is a 3-digit number ending with zero, consider: 1. The number of possible values of p is 5. 2. The number of possible values of q is 6. Which are correct?

A1 only
B2 only
CBoth 1 and 2
DNeither 1 nor 2
Show answer & explanation
ANSWERC
EXPLANATION

Using pp=11p etc. reduces the condition to p+q+r being a multiple of 10; enumeration supports the stated counts.

Q47
Quantitative AptitudePermutation and CombinationNumber / Word Formation

What is the sum of all 4-digit numbers less than 2000 formed by the digits 1, 2, 3 and 4, where none of the digits is repeated?

A7998
B8028
C8878
D9238
Show answer & explanation
ANSWERA
EXPLANATION

The thousands digit is 1 and the remaining digits have 3!=6 arrangements; their sum is 7998.

Q48
Logical ReasoningSeating ArrangementSeating Arrangement

What is the number of selections of 10 consecutive things out of 12 things in a circle taken in the clockwise direction?

A3
B11
C12
D66
Show answer & explanation
ANSWERC
EXPLANATION

There are 12 possible starting positions around the circle.

Q49
Logical ReasoningCalendarDay & Date Calculation

If today is Sunday, then which day is it exactly on 10^10th day?

AWednesday
BThursday
CFriday
DSaturday
Show answer & explanation
ANSWERA
EXPLANATION

Counting the starting Sunday as day 1, the 10^10th day is 10^10−1 days after Sunday. Since 10^10−1 is divisible by 7 with remainder 3, the day is Wednesday.

Q50
Logical ReasoningClocksClock Angles & Coincidence

There are three traffic signals. Each signal changes colour from green to red and then red to green. The one-way intervals are 25, 39 and 60 seconds and green/red durations are equal. At 2:00 p.m. they turn green together. When will they next turn green together?

A4:00 p.m.
B4:10 p.m.
C4:20 p.m.
D4:30 p.m.
Show answer & explanation
ANSWERB
EXPLANATION

Full cycles are 50,78,120 seconds; LCM=7800 seconds=130 minutes, so 4:10 p.m.

Q51
Reading ComprehensionReading ComprehensionMain Idea / Central Theme
PASSAGE

Sourcing food from non-agricultural lands (uncultivated systems such as forests, wetlands, pastures, etc.) in addition to agricultural lands enables a systemic approach to food consumption. It allows rural and tribal communities to sustain themselves for the whole year and steer clear of natural disasters and season-induced shortfalls of agricultural food. Since the productivity of trees is often more resilient to adverse weather conditions than annual crops, forest foods often provide a safety net during periods of food shortages caused by crop failure; forest foods also make important contributions during seasonal crop production gaps.

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

AFood yielding trees should replace other trees in rural and tribal areas and community owned lands.
BFood security cannot be ensured in India with the present practice of conventional agriculture.
CWastelands and degraded areas in India should be converted into agroforestry systems to help the poor.
DAgroecosystems should be developed in addition to or along with conventional agriculture.
Show answer & explanation
ANSWERD
EXPLANATION

The passage presents non-agricultural food systems as a complement to conventional agriculture.

Q52
Reading ComprehensionReading ComprehensionOther Comprehension
PASSAGE

While awareness on use/misuse and abuse of antibiotics is common knowledge, as is the impact of dosing poultry with antibiotics, the environmental impact of antibiotics-manufacturing companies not treating their waste has scarcely been discussed at any length or seriousness thus far. Pollution from antibiotics factories is fuelling the rise of drug-resistant infections. The occurrence of drug-resistant bacteria surrounding the pharma manufacturing plants is well known.

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

AIt is necessary to put proper effluent treatment protocols in place.
BIt is necessary to promote environmental awareness among people.
CSpread of drug-resistant bacteria cannot be done away with, as it is inherent in modern medical care.
DPharma-manufacturing companies should be set up in remote rural areas, away from crowded towns and cities.
Show answer & explanation
ANSWERA
EXPLANATION

Untreated pharmaceutical waste is identified as the source, so effluent treatment is the direct response.

Q53
Reading ComprehensionReading ComprehensionMain Idea / Central Theme
PASSAGE

Benefits of good quality school education accrue only when students complete and leave school after having acquired the gateway skills. Like one learns to walk before running, similarly one picks up advanced skills only after picking the basic foundational skills. The advent of the knowledge economy poses new challenges, and one of the severe consequences of having an uneducated workforce will be our inability to keep pace with the global economy. Without a strong learning foundation at the primary level, there can be no improvement in higher education or skill development.

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

ATo become a global power, India needs to invest in universal quality education.
BIndia is unable to become a global power because it is not focusing or promoting knowledge economy.
COur education system should focus more on imparting skills during higher education.
DParents of many school children are illiterate and are unaware of the benefits of quality education.
Show answer & explanation
ANSWERA
EXPLANATION

The passage stresses foundational schooling and universal quality education.

Q54
Logical ReasoningPuzzlesLogic Puzzles & Scheduling

40 children are standing in a circle and one has a ring. Child-1 passes to child-2, child-2 to child-4, child-4 to child-7 and so on. After how many such changes (including child-1) will the ring be in child-1's hands again?

A14
B15
C16
D17
Show answer & explanation
ANSWERB
EXPLANATION

The recipient advances by successive increments; the first suitable triangular displacement modulo 40 occurs after 15 changes.

Q55
Logical ReasoningNumber SeriesNumber / Alphabet Series

What is the middle term of the sequence Z, Z, Y, Y, Y, X, X, X, X, W, W, W, W, W, …, A?

AH
BI
CJ
DM
Show answer & explanation
ANSWERB
EXPLANATION

Counting the increasing multiplicities identifies I as the middle term.

Q56
Logical ReasoningData SufficiencyTwo-Statement / Data Sufficiency

Question: Is p greater than q? Statement-1: p×q is greater than zero. Statement-2: p² is greater than q². Which one of the following is correct?

AThe Question can be answered by using one Statement alone, but not the other.
BThe Question can be answered by using either Statement alone.
CThe Question can be answered using both Statements together, but not either alone.
DThe Question cannot be answered even using both Statements together.
Show answer & explanation
ANSWERD
EXPLANATION

Neither condition, alone or jointly, fixes the sign/order of p and q uniquely.

Q57
Logical ReasoningData SufficiencyTwo-Statement / Data Sufficiency

Question: Is (p+q−r) greater than (p−q+r), where p,q,r are integers? Statement-1: (p−q) is positive. Statement-2: (p−r) is negative. Which is correct?

AThe Question can be answered by using one Statement alone, but not the other.
BThe Question can be answered by using either Statement alone.
CThe Question can be answered using both Statements together, but not either alone.
DThe Question cannot be answered even using both Statements together.
Show answer & explanation
ANSWERC
EXPLANATION

The comparison is q>r. Statement 1 gives p>q and statement 2 gives p<r; together imply q<r, so the question can be answered using both together but neither alone.

Q58
Logical ReasoningData SufficiencyTwo-Statement / Data Sufficiency

In a party, 75 persons took tea, 60 took coffee and 15 took both. No one taking milk takes tea. Each person takes at least one drink. How many attended? Statement-1: 50 persons took milk. Statement-2: The number attending is five times the number taking milk only. Which is correct?

AThe Question can be answered by using one Statement alone, but not the other.
BThe Question can be answered by using either Statement alone.
CThe Question can be answered using both Statements together, but not either alone.
DThe Question cannot be answered even using both Statements together.
Show answer & explanation
ANSWERA
EXPLANATION

Statement 1 alone does not fix the total because milk may overlap with coffee. With statement 2 alone, let milk-only=x; the total is 5x, while tea/coffee union is 120 and the remaining people are milk-only, giving 5x=120+x and x=30, total 150. Thus statement 2 alone suffices, not statement 1.

Q59
Logical ReasoningData SufficiencyTwo-Statement / Data Sufficiency

Consider a 3-digit number. Question: What is the number? Statement-1: The sum of the digits equals the product of the digits. Statement-2: The number is divisible by the sum of its digits. Which is correct?

AThe Question can be answered by using one Statement alone, but not the other.
BThe Question can be answered by using either Statement alone.
CThe Question can be answered using both Statements together, but not either alone.
DThe Question cannot be answered even using both Statements together.
Show answer & explanation
ANSWERD
EXPLANATION

Even together the conditions do not uniquely determine one 3-digit number.

Q60
Logical ReasoningData SufficiencyTwo-Statement / Data Sufficiency

For five children with ages a<b<c<d<e, each successive age differs by 2. Question: What is the youngest age? Statement-1: Eldest is 3 times youngest. Statement-2: Average age is 8 years. Which is correct?

AThe Question can be answered by using one Statement alone.
BThe Question can be answered by using either Statement alone.
CThe Question can be answered using both Statements together, but not either alone.
DThe Question cannot be answered even using both Statements together.
Show answer & explanation
ANSWERB
EXPLANATION

The five ages are x,x+2,x+4,x+6,x+8; statement 2 alone gives x+4=8, hence x=4.

Q61
Reading ComprehensionReading ComprehensionInference
PASSAGE

The paradox of choice is illustrated by the story of Buridan's ass. Jean Buridan, the 14th century philosopher, wrote about free will and the inability to choose due to numerous choices and uncertainties. In the story, a donkey stands between two equally appealing stacks of hay. Unable to decide which to eat, it starves to death. Changes in technology and innovations such as smartphones and tablets only exacerbate our glut of choices. Constant connectivity and overconsumption of real-time data and social media can leave little room for self-reflection and rest, making decisions more difficult. Life is about choices. Many people are overwhelmed with attractive life choices, yet find themselves unhappy and anxious.

Which one of the following statements best reflects the most logical message implied by the above passage?

AModern technology enfeebles societal structure and makes life difficult.
BModern life is full of uncertainties and endless difficult choices.
CWe are influenced by the opinion of others and have no courage to follow our own convictions.
DIn our lives, having too few choices may not be a good thing, but having too many can be equally as difficult.
Show answer & explanation
ANSWERD
EXPLANATION

The passage highlights the paradox that an excess of choices can be as difficult as too few.

Q62
Reading ComprehensionReading ComprehensionAssumption
PASSAGE

Household finance in India is unique. We have a tendency to invest heavily in physical assets such as gold and property. Steps to encourage the financialization of savings are critical. A populace accustomed to traditional processes will not simply jump into financialization. Hurdles to change include onerous bureaucracy, a scepticism of organized financial institutions, a lack of basic information about which of the myriad services and providers is best for each family, and how (and even if) one can make the transition between them if necessary.

Regarding the financialization of household savings, which of the following statements best reflect the solutions implied by the passage? 1. A flexible environment is needed to develop solutions. 2. Households need customised solutions. 3. Innovations in financial technology are required. Select the correct answer.

A1 and 2 only
B2 and 3 only
C1 and 3 only
D1, 2 and 3
Show answer & explanation
ANSWERD
EXPLANATION

The barriers imply flexible, customized and technology-enabled solutions.

Q63
Reading ComprehensionReading ComprehensionAssumption
PASSAGE

Pharmaceutical patents grant protection to the patentee for the duration of the patent term. The patentees enjoy the liberty to determine the prices of medicines, which is time-limited to the period of monopoly, but could be unaffordable to the public. Such patent protection offered to the patentees is believed to benefit the public over the longer term through innovations and research and development (R&D), although it comes at a cost, in the nature of higher prices for the patented medicine. The patent regime and price protection provide the patentee with a legitimate mechanism to get returns on the costs incurred in innovation and research.

Based on the above passage, the following assumptions have been made: 1. Patent protection given to patentees puts a huge burden on public purchasing power in accessing patented medicines. 2. Dependence on other countries for pharmaceutical products is a huge burden for developing and poor countries. 3. Providing medicines to the public at affordable prices is a key goal during public health policy design in many countries. 4. Governments need to find an appropriate balance between the rights of patentees and the requirements of patients. Which assumptions are valid?

A1 and 2
B1 and 4
C3 and 4
D2 and 3
Show answer & explanation
ANSWERB
EXPLANATION

The passage supports affordability concerns and balancing patent-holder rights with patient needs; statements 1 and 4 are valid.

Q64
Reading ComprehensionReading ComprehensionAssumption
PASSAGE

India should ensure the growth of the digital economy while keeping personal data of citizens secure and protected. No one will innovate in a surveillance-oriented environment or in a place where an individual's personal information is compromised. The ultimate control of data must reside with the individuals who generate it; they should be enabled to use, restrict or monetise it as they wish. Therefore, data protection laws should enable the right kind of innovation — one that is user-centric and privacy protecting.

Based on the above passage, the following assumptions have been made: 1. Protection of privacy is not just a right, but it has value to the economy. 2. There is a fundamental link between privacy and innovation. Which assumptions are valid?

A1 only
B2 only
CBoth 1 and 2
DNeither 1 nor 2
Show answer & explanation
ANSWERC
EXPLANATION

The passage explicitly links privacy protection to innovation and the digital economy; both are valid.

Q65
Quantitative AptitudePermutation and CombinationCounting Applications

In an examination, the maximum marks for each of the four papers P, Q, R and S are 100. Marks are integers. A student can score 99% in n different ways. What is n?

A16
B17
C23
D35
Show answer & explanation
ANSWERD
EXPLANATION

Total score is 396, so deficits from 100 sum to 4; the number of nonnegative solutions is C(7,3)=35.

Q66
Quantitative AptitudePermutation and CombinationPermutations / Arrangements

A flag has to be designed with 4 horizontal strips using some or all of red, green and yellow. What is the number of ways so that no two adjacent stripes have the same colour?

A12
B18
C24
D36
Show answer & explanation
ANSWERC
EXPLANATION

First stripe has 3 choices and each subsequent stripe 2 choices: 3×2^3=24.

Q67
Quantitative AptitudeGeometry and MensurationGeometric Counting

A rectangular floor measures 4 m in length and 2.2 m in breadth. Tiles of size 140 cm by 60 cm have to be laid without overlap; either orientation is allowed with parallel edges. What is the maximum number of tiles?

A6
B7
C8
D9
Show answer & explanation
ANSWERD
EXPLANATION

A feasible axis-parallel packing exists for 9 tiles, and an area/packing bound rules out 10; therefore the maximum is 9.

Q68
Quantitative AptitudePermutation and CombinationCounting Applications

There are five persons P, Q, R, S and T, each assigned one task. Neither P nor Q can be assigned Task-1. Task-2 must be assigned to either R or S. In how many ways can the assignment be done?

A6
B12
C18
D24
Show answer & explanation
ANSWERD
EXPLANATION

If Task-2 is assigned to R, Task-1 can be S or T (2 choices), followed by 3! assignments of the remaining tasks: 12. The same applies when Task-2 is S, giving 24 total.

Q69
Quantitative AptitudeNumber SystemIntegers

There are large number of silver coins weighing 2 gm, 5 gm, 10 gm, 25 gm, 50 gm each. Consider: I. To buy 78 gm of coins one must buy at least 7 coins. II. To weigh 78 gm using these coins one can use less than 7 coins. Which statements are correct?

A1 only
B2 only
CBoth 1 and 2
DNeither 1 nor 2
Show answer & explanation
ANSWERC
EXPLANATION

The two statements concern different constraints—purchase versus exact weighing—and the keyed result is obtained by testing the available denominations.

Q70
Logical ReasoningMathematical OperationsOperator / Symbol Problems

Consider: I. A+B means A is neither smaller nor equal to B. II. A−B means A is not greater than B. III. A×B means A is not smaller than B. IV. A÷B means A is neither greater nor equal to B. V. A±B means A is neither smaller nor greater than B. Statement: P×Q, P−T, T÷R, R±S. Conclusion-1: Q±T. Conclusion-2: S+Q. Which is correct?

AOnly Conclusion-1 follows from the Statement.
BOnly Conclusion-2 follows from the Statement.
CBoth Conclusion-1 and Conclusion-2 follow from the Statement.
DNeither Conclusion-1 nor Conclusion-2 follows from the Statement.
Show answer & explanation
ANSWERB
EXPLANATION

After translating the symbols to inequalities, only the second conclusion follows.

Q71
Reading ComprehensionReading ComprehensionMain Idea / Central Theme
PASSAGE

In India, while the unemployment rate is a frequently used measure of poor performance of the economy, under conditions of rising school and college enrolment, it paints an inaccurate picture. The reported unemployment rate is dominated by the experience of younger Indians who face higher employment challenges and exhibit greater willingness to wait for the right job than their older peers. The unemployment challenge is greater for people with secondary or higher education, and rising education levels inflate unemployment challenges.

Which one of the following statements most likely reflects as to what the author of the passage intends to say?

AEnrolment in schools and colleges is high but there is no quality education.
BUnemployment must be seen as a function of rising education and aspirations of young Indians.
CThere are no labour-intensive industries to accommodate the huge number of unemployed people.
DThe education system should be properly designed so as to enable the educated people to be self-employed.
Show answer & explanation
ANSWERB
EXPLANATION

The passage says rising education and aspirations among younger people affect the measured unemployment challenge.

Q72
Reading ComprehensionReading ComprehensionMain Idea / Central Theme
PASSAGE

Science by itself is not enough; there must be a force and discipline outside the sciences to coordinate them and point to a goal. It is not possible to run a course aright when the goal itself has not been rightly placed. What science needs is philosophy — the analysis of scientific method and the coordination of scientific purposes and results; without this, any science must be superficial. Government suffers, precisely like science, for lack of philosophy. Philosophy bears to science the same relationship which statesmanship bears to politics: movement guided by total knowledge and perspective, as against aimless and individual seeking. Just as the pursuit of knowledge becomes scholasticism when divorced from the actual needs of men and life, so the pursuit of politics becomes a destructive bedlam when divorced from science and philosophy.

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

AModern statesmen need to be well trained in scientific methods and philosophical thinking to enable them to have a better perspective of their roles, responsibilities and goals.
BIt is not desirable to have Governments managed by empirical statesmen unless well mixed with others who are grounded in learning and reflect wisdom.
CAs statesmen/bureaucrats are products of society, it is desirable to have a system of education that focuses on training citizens in scientific method and philosophical thinking from a very early age.
DIt is desirable that all scientists need to be philosophers as well to make their work goal-oriented and purposeful and useful to society.
Show answer & explanation
ANSWERB
EXPLANATION

The passage stresses the need for science and philosophy to guide statesmanship and governance.

Q73
Reading ComprehensionReading ComprehensionMain Idea / Central Theme
PASSAGE

The last end of the state is not to dominate men, nor to restrain them by fear; rather it is so to free each man from fear that he may live and act with full security and without injury to himself or his neighbour. The end of the state is to enable their bodies and their minds to function safely and to lead men to live by, and to exercise, a free reason; that they may not waste their strength in hatred, anger and guile, nor act unfairly toward one another.

Based on the above passage, which one of the following terms expresses the ultimate goal of the state?

APersonal safety
BHealth of body and mind
CCommunal harmony
DLiberty
Show answer & explanation
ANSWERD
EXPLANATION

The passage's culminating objective is freedom to live and reason without fear: liberty.

Q74
Quantitative AptitudeNumber SystemRemainders

What is the remainder if 2^192 is divided by 6?

A0
B1
C2
D4
Show answer & explanation
ANSWERD
EXPLANATION

For n≥1, powers of 2 modulo 6 alternate 2,4. Since 192 is even, 2^192 leaves remainder 4.

Q75
Logical ReasoningMissing TermsMissing Term / Pattern Completion

Consider the sequence ABC__ABC_DABBCD_ABCD that follows a certain pattern. Which of the following completes the sequence?

ADACB
BCDAB
CDCCA
DDDCA
Show answer & explanation
ANSWERD
EXPLANATION

The repeating pattern determines the missing block as option D.

Q76
Quantitative AptitudeNumber SystemDigits & Number Formation

AB and CD are 2-digit numbers. Multiplying AB with CD results in a 3-digit number DEF. Adding DEF to another 3-digit number GHI results in 975. A, B, C, D, E, F, G, H, I are distinct digits. If E=0, F=8, then what is A+B+C equal to?

A6
B7
C8
D9
Show answer & explanation
ANSWERA
EXPLANATION

Using the distinct-digit product and the ending 08 constraint gives the keyed sum 6.

Q77
Logical ReasoningPuzzlesLogic Puzzles & Scheduling

Consider five candidates P, Q, R, S and T. Two statements are true and one is false: True—one of P and Q was selected; False—at least one of R and S was selected; True—at most two of R, S and T were selected. Which conclusions can be drawn? 1. At least four were selected. 2. S was selected.

A1 only
B2 only
CBoth 1 and 2
DNeither 1 nor 2
Show answer & explanation
ANSWERD
EXPLANATION

The false statement implies neither R nor S was selected; the remaining true statements do not establish either conclusion.

Q78
Logical ReasoningSyllogismSyllogism & Set Relations

Let P, Q, R, S and T be five statements such that I. If P is true, then both Q and S are true. II. If R and S are true, then T is false. Which can be concluded? 1. If T is true, then at least one of P and R must be false. 2. If Q is true, then P is true.

A1 Only
B2 Only
CBoth 1 and 2
DNeither 1 nor 2
Show answer & explanation
ANSWERA
EXPLANATION

If T is true, P and R cannot both be true; Q alone does not imply P. Thus only statement 1 follows.

Q79
Logical ReasoningCubes and DiceCube / Dice Problems

A cuboid of dimensions 7cm × 5cm × 3cm is painted red, green and blue on each pair of opposite faces of dimensions 7cm × 5cm, 5cm × 3cm, 7cm × 3cm respectively. It is cut into 1cm cubes. Which statements are correct? 1. Exactly 15 small cubes have no paint. 2. Exactly 6 small cubes have exactly two faces, one blue and one green.

A1 Only
B2 Only
CBoth 1 and 2
DNeither 1 nor 2
Show answer & explanation
ANSWERA
EXPLANATION

The unpainted core is (7−2)×(5−2)×(3−2)=15 cubes, so statement 1 is true. The blue-green intersections yield 4 cubes with exactly those two painted faces; the endpoint cubes also have a third painted face. Hence statement 2 is false and only statement 1 is correct.

Q80
Logical ReasoningRanking & OrderingRanking & Position

The letters of the word “INCOMPREHENSIBILITIES” are arranged alphabetically in reverse order. How many positions of the letter/letters will remain unchanged?

A
BOne
CTwo
DThree
Show answer & explanation
ANSWERC
EXPLANATION

Comparing original and reverse-alphabetical positions leaves two unchanged.