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CSAT 2020PYQ

Complete UPSC Civil Services Preliminary Examination General Studies Paper-II / CSAT question paper for 2020.

80Questions
4Subjects
21Topics
QUESTION PAPER

2020 CSAT Questions

All 80 questions from the 2020CSAT paper, classified by subject, topic and subtopic.

Practice 2020 →
Q1
Reading ComprehensionReading ComprehensionInference
PASSAGE

In India, over the last decade or so, labour has been departing agriculture, but is only going to construction and unregistered manufacturing which are not markedly better jobs. Services, where labour tends to be most productive, are not generating the additional jobs the country needs. India will need 24 million or so jobs over the next decade. The new sector, e-commerce, can at best close only half the jobs gap. Only those sectors that drive domestic demand such as health and education can comfortably fill the other half.

Which one of the following is best implied in the passage?

AStrong measures need to be taken to reduce the rural to urban migration of labour.
BThe working condition in construction and unregistered manufacturing needs to be improved.
CService sector has been reducing the problem of unemployment.
DIncreased social sector spending is imperative for large-scale job creation.
Show answer & explanation
ANSWERD
EXPLANATION

The passage says services are not creating enough jobs and identifies health and education as sectors that can fill much of the jobs gap; this points to greater social-sector spending.

Q2
Reading ComprehensionReading ComprehensionAssumption
PASSAGE

In India, the current focus on the right to privacy is based on some new realities of the digital age. A right is a substantive right only if it works in all situations, and for everyone. A right to free expression for an individual about her exploitation, for instance, is meaningless without actual availability of security that guarantees that private force cannot be used to thwart this right. The role of the State, therefore, is not just to abstain from preventing rightful free expression, but also to actively ensure that private parties are not able to block it.

On the basis of the above passage, the following assumptions have been made:

1. State should have some institutions to ensure its appropriate role in a digital society.

2. State should ensure that private parties do not violate the citizens' right to privacy.

3. Digital economy is not compatible with the idea of not violating the citizens’ privacy.

Which of the above assumptions is/are valid?

A1 and 2
B3 only
C1 and 3
D2 only
Show answer & explanation
ANSWERA
EXPLANATION

The passage says the State must actively ensure rights are effective and prevent private parties from blocking them, supporting 1 and 2; it does not claim digital economy is incompatible with privacy.

Q3
Reading ComprehensionReading ComprehensionInference
PASSAGE

One of the biggest ironies around water is that it comes from rivers and other wetlands. Yet it is seen as divorced from them. While water is used as a resource, public policy does not always grasp that it is a part of the natural ecosystem. Efforts at engineering water systems are thus efforts at augmenting water supply rather than strengthening the capacities of ecological systems.

Which one of the following is the most logical and rational inference that can be made from the above passage?

ARivers and other wetlands should be protected under Ramsar Convention.
BEngineering water systems should be modernized and further augmented.
CWetlands need to be reinforced as more than just open sources of water.
DWater supply should not be free of cost so as to prevent its misuse or overuse.
Show answer & explanation
ANSWERC
EXPLANATION

The passage criticizes treating water merely as a resource and emphasizes strengthening ecological systems; wetlands therefore need to be valued beyond being water sources.

Q4
Reading ComprehensionReading ComprehensionMain Idea / Central Theme
PASSAGE

Asset allocation is the most important investment decision we will ever make, and sadly, most of us do not give that decision the importance it deserves. We are adamant about seeking predictability with our future. We tend to think of investing in risky assets as extremely volatile and value eroding. We also dislike fluctuating returns and the loss of control of investment. We think our money is best left idle, unproductive but safe. There is no asset that is risk-free. We could lose our jobs, our homes can lose value, our banks can go bankrupt, our bonds can default, the government can collapse and companies we chose fondly may cease to exist. But we cannot live life assuming that all these extreme events are waiting to happen, and all at the same time. All these extreme forms of risks we know will not manifest at the same time.

Which one of the following statements best implies the suggestion given by the author of the passage?

ADistribute your wealth across different kinds of assets so that your risks would be minimized.
BRisk-taking behaviour should be a necessary component of your personality if you want to generate wealth.
CWhile making investments, find a trustworthy asset management organization which would manage your wealth for you.
DYou should know that investing your money is a risky business.
Show answer & explanation
ANSWERA
EXPLANATION

The passage's practical point is that different risks need not materialize together, so spreading investments across asset classes can reduce overall risk.

Q5
Reading ComprehensionReading ComprehensionAssumption
PASSAGE

Although most of the Genetically Modified (GM) crops cultivated now are genetically engineered for a single trait, in future, crops genetically engineered for more than one trait will be the norm. Thus, biotechnology's role in agriculture and the regulation of the same cannot be understood solely in the context of the current generation of GM crops. Instead, there is a need to take a comprehensive look, taking into account various aspects, including socio-economic impacts, so that the potential of the technology can be harnessed while minimizing negative impacts. Given the importance of biotechnology in developing varieties that can help in climate change mitigation and adaptation, not using biotechnology as a part of the climate change action plan cannot be an option. Domestic regulation of biotechnology cannot be viewed in isolation of trade policy and obligations under various international treaties and conventions.

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

1. Biotechnology regulation is an evolving process.

2. Participation of people is needed in policy decisions regarding biotechnology regulation.

3. Biotechnology regulation should take into account socio-economic aspects in decision-making.

4. Wider involvement of political executive in biotechnology regulation improves its effectiveness in dealing with the country's trade policies and international obligations.

Which of the above assumptions are valid?

A1, 2 and 4 only
B1 and 3 only
C2, 3 and 4 only
D1, 2, 3 and 4
Show answer & explanation
ANSWERB
EXPLANATION

The passage explicitly calls for a comprehensive and evolving regulatory approach and specifically requires socio-economic considerations; it does not establish public participation or a political-executive role as stated.

Q6
Reading ComprehensionReading ComprehensionMain Idea / Central Theme
PASSAGE

Although most of the Genetically Modified (GM) crops cultivated now are genetically engineered for a single trait, in future, crops genetically engineered for more than one trait will be the norm. Thus, biotechnology's role in agriculture and the regulation of the same cannot be understood solely in the context of the current generation of GM crops. Instead, there is a need to take a comprehensive look, taking into account various aspects, including socio-economic impacts, so that the potential of the technology can be harnessed while minimizing negative impacts. Given the importance of biotechnology in developing varieties that can help in climate change mitigation and adaptation, not using biotechnology as a part of the climate change action plan cannot be an option. Domestic regulation of biotechnology cannot be viewed in isolation of trade policy and obligations under various international treaties and conventions.

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

APrecautionary principle is not given importance in current debate on developing GM crops.
BBiotechnology is not currently used in climate change mitigation and adaptation mechanisms.
CBiotechnology’s role is not confined to the current priorities of developing GM crops.
DThe negative impacts of biotechnology are properly understood.
Show answer & explanation
ANSWERC
EXPLANATION

The passage broadens biotechnology beyond current single-trait GM crops and links it to regulation, socio-economic effects and climate action.

Q7
Quantitative AptitudeNumber SystemFactors, HCF & LCM

How many zeroes are there at the end of the following product?

1 × 5 × 10 × 15 × 20 × 25 × 30 × 35 × 40 × 45 × 50 × 55 × 60

A10
B12
C14
D15
Show answer & explanation
ANSWERA
EXPLANATION

Trailing zeros are determined by pairs of 2 and 5. The product has more than enough factors of 2, so count the factors of 5: from 5,10,...,60 there are 12 factors of 5 plus extra factors in 25 and 50, giving 14.

Q8
Quantitative AptitudeNumber SystemDivisibility

Let XYZ be a three-digit number, where (X + Y + Z) is not a multiple of 3. Then (XYZ + YZX + ZXY) is not divisible by

A3
B9
C37
DX + Y + Z
Show answer & explanation
ANSWERB
EXPLANATION

XYZ + YZX + ZXY = 111(X+Y+Z) = 3×37×(X+Y+Z). Since the digit sum is not divisible by 3, the sum is divisible by 3 and 37 but not by 9.

Q9
Quantitative AptitudeNumber SystemNumber Properties & Patterns

Let p, q, r and s be natural numbers such that p − 2016 = q + 2017 = r − 2018 = s + 2019. Which one of the following is the largest natural number?

Ap
Bq
Cr
Ds
Show answer & explanation
ANSWERC
EXPLANATION

Let the common value be k. Then p=2016+k, q=k−2017, r=2018+k, s=k−2019. Thus r exceeds p by 2 and is the largest.

Q10
Quantitative AptitudeNumber SystemPrime Numbers

How many five-digit prime numbers can be obtained by using all the digits 1, 2, 3, 4 and 5 without repetition of digits?

AZero
BOne
CNine
DTen
Show answer & explanation
ANSWERA
EXPLANATION

Every such five-digit number has digit sum 15, so it is divisible by 3; therefore none can be prime.

Q11
Quantitative AptitudeNumber SystemDigits & Number Formation
Question includes a visual element.

In the sum ® + 1® + 5® + ®® … ®1®® for which digit does the symbol ® stand?

A2
B3
C4
D5
Show answer & explanation
ANSWERB
EXPLANATION

Use column-wise addition of the repeated unknown digit in the displayed sum; the required digit is 3.

Q12
Quantitative AptitudeNumber SystemFactors, HCF & LCM

If you have two straight sticks of length 7.5 feet and 3.25 feet, what is the minimum length you can measure?

A0.05 foot
B0.25 foot
C1 foot
D3.25 feet
Show answer & explanation
ANSWERB
EXPLANATION

The greatest common measure of 7.50 ft and 3.25 ft is 0.25 ft, since 750 and 325 have HCF 25 hundredths of a foot.

Q13
Logical ReasoningNumber SeriesNumber / Alphabet Series

A simple mathematical operation in each number of the sequence 14, 18, 20, 24, 30, 32, ..... results in a sequence with respect to prime numbers. Which one of the following is the next number in the sequence?

A34
B36
C38
D40
Show answer & explanation
ANSWERC
EXPLANATION

Subtract 1 from each term: 13, 17, 19, 23, 29, 31 are consecutive primes in the pattern. The next prime is 37, so the next original term is 38.

Q14
Logical ReasoningPuzzlesLogic Puzzles & Scheduling

One page is torn from a booklet whose pages are numbered in the usual manner starting from the first page as 1. The sum of the numbers on the remaining pages is 195. The torn page contains which of the following numbers?

A5, 6
B7, 8
C9, 10
D11, 12
Show answer & explanation
ANSWERB
EXPLANATION

The pages are torn as a leaf, so two consecutive page numbers are removed. Testing the possible pairs gives 7 and 8 as the pair whose removal makes the remaining total 195.

Q15
Logical ReasoningMissing TermsMissing Term / Pattern Completion
Question includes a visual element.

Consider the following arrangement that has some missing letters:

abab_b_bcb_dcdcded_d

The missing letters which complete the arrangement are

Aa, b, c, d
Ba, b, d, e
Ca, c, c, e
Db, c, d, e
Show answer & explanation
ANSWERC
EXPLANATION

Filling the blanks to preserve the repeating letter blocks gives a, c, c and e.

Q16
Quantitative AptitudeNumber SystemDigits & Number Formation
Question includes a visual element.

Let A3BC and DE2F be four-digit numbers where each letter represents a different digit greater than 3. If the sum of the numbers is 15902, then what is the difference between the values of A and D?

A1
B2
C3
D4
Show answer & explanation
ANSWERC
EXPLANATION

Add the place values column by column, respecting distinct digits greater than 3. The thousands-place digits must differ by 3 to produce the required total.

Q17
Logical ReasoningData SufficiencyTwo-Statement / Data Sufficiency

Two statements S1 and S2 are given below followed by a Question:

S1: There are not more than two figures on any page of a 51-page book.

S2: There is at least one figure on every page.

Question: Are there more than 100 figures in that book?

Which one of the following is correct?

ABoth S1 and S2 are sufficient to answer the Question, but neither S1 alone nor S2 alone is sufficient.
BS1 alone is sufficient to answer the Question.
CS1 and S2 together are not sufficient to answer the Question.
DS2 alone is sufficient to answer the Question.
Show answer & explanation
ANSWERC
EXPLANATION

S1 gives a maximum of 102 figures; S2 gives a minimum of 51. Even together, the total can range from 51 to 102, so the question cannot be answered uniquely.

Q18
Quantitative AptitudeAverageWeighted Average
Question includes a visual element.

Consider the following data:

Average marks in English/Hindi — Girls: 9/8; Boys: 8/7; Overall average in English: 8.8; Overall average in Hindi: X. What is the value of X?

A7.8
B7.6
C7.4
D7.2
Show answer & explanation
ANSWERA
EXPLANATION

From the English average, girls are 80% of the relevant group because 8.8 = 9g+8b over g+b. Thus the Hindi average is 0.8×8 + 0.2×7 = 7.8.

Q19
Logical ReasoningBlood RelationsFamily Relations

A family of two generations consisting of six members P, Q, R, S, T and U has three males and three females. There are two married couples and two unmarried siblings. U is P’s daughter and Q is R’s mother-in-law. T is an unmarried male and S is a male. Which one of the following is correct?

AR is U's husband.
BR is S's wife.
CS is unmarried.
DNone of the above
Show answer & explanation
ANSWERA
EXPLANATION

The family constraints can be satisfied with R as U’s husband: Q is R’s mother-in-law through her daughter U, while the remaining sex and marriage conditions can be accommodated with P, S and T. Thus option A is consistent.

Q20
Logical ReasoningCalendarDay & Date Calculation

If in a particular year 12th January is a Sunday, then which one of the following is correct?

A15th July is a Sunday if the year is a leap year.
B15th July is a Sunday if the year is not a leap year.
C12th July is a Sunday if the year is a leap year.
D12th July is not a Sunday if the year is a leap year.
Show answer & explanation
ANSWERC
EXPLANATION

In a leap year, 12 January to 12 July spans 182 days, exactly 26 weeks, so 12 July is also Sunday.

Q21
Reading ComprehensionReading ComprehensionAssumption
PASSAGE

Private investment in general is volatile. Foreign private investment is more volatile because the available investment avenues are significantly greater (i.e., the entire world). Therefore, the responsibility of providing employment cannot be left to Foreign Direct investment (FDI). The current FDI inflows are volatile over time and across sectors and regions, which is a necessary consequence of their search for the highest returns. The adverse consequences are unstable employment and an accentuation of income and regional inequalities. A probable positive consequence of foreign investment is the inflow of new technology and its subsequent diffusion. However, the technology diffusion is not at all certain because the existing state of physical and human capital in India may prove inadequate for the diffusion.

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

1. Relying on foreign investment in the long run is not an economically sound policy.

2. Policies must be undertaken to reduce volatility in foreign private investment.

3. Policies must be undertaken to strengthen domestic private investment.

4. Public investment should be given priority over private investment.

5. Substantial public investment in education and health should be undertaken.

Which of the above assumptions is/are valid?

A1, 2 and 4
B1, 3 and 5
C2, 4 and 5
D3 only
Show answer & explanation
ANSWERB
EXPLANATION

The passage warns against relying on FDI for employment, points to the need for stronger domestic capacity and notes inadequate physical and human capital; the intended combination is 1, 3 and 5.

Q22
Reading ComprehensionReading ComprehensionInference
PASSAGE

Many opportunities to harness the highly skewed, seasonal and spatial distribution of monsoon flows, which occur in a four-month period from June to September annually, have been lost. Since these few months account for most of the rainfall and consequent freshwater availability, the need for holding rainwater in reservoirs, for subsequently releasing it for use over the year, is a necessity nobody can afford to overlook. Climate change will continue to affect weather conditions and create water shortages and excesses. While millions suffer from droughts and floods, waters in the country's many rivers flow unutilized, and are discharged into the sea every year.

With reference to the above passage, which of the following could be the most rational and practical implications for India?

1. Inter-linking of rivers should be undertaken.

2. A network of dams and canals should be built across the country for proper distribution of water.

3. Farmers should be provided easy loans for digging borewells.

4. Usage of water for agriculture should be regulated by law.

5. Distribution of river water among regions should be regulated by the Union Government.

Select the correct answer using the code given below.

A1 and 2
B2, 4 and 5
C1, 3 and 4
D2, 3 and 5
Show answer & explanation
ANSWERA
EXPLANATION

The passage emphasizes seasonal concentration of water, reservoirs, and unutilized river flows. Inter-linking and a network of storage/distribution infrastructure are the direct practical implications.

Q23
Reading ComprehensionReading ComprehensionAssumption
PASSAGE

People will invest in education whenever they are granted the economic freedom to fully enjoy benefits. Again, this is for the obvious reason that the return on education increases as the level of economic freedom rises. When people, thanks to lower tax rates, are allowed to retain of the higher income that they gain from incremental level of education, it makes sense to invest in education. On the other hand, when the government decides to tax the higher income of educated individuals at even higher rates, it makes very little sense to invest in educating oneself further. The same incentives apply to parents who decide on whether to invest in their children's education.

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

1. Lower tax rates in a country invariably translate into greater investments in higher education.

2. Investment in the education of children ensures their economic freedom.

3. Economic freedom has a positive impact on building up human capital.

Which of the above assumptions is/are valid?

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

The passage directly links greater economic freedom with higher returns from education and hence human-capital investment. The absolute 'invariably' claim and the claim that education ensures freedom are not established.

Q24
Reading ComprehensionReading ComprehensionMain Idea / Central Theme
PASSAGE

Our urban bodies cannot possibly ensure sustainable delivery of water in our cities unless financing mechanisms are put in place. Water delivery requires heavy investment in collecting it from a natural source, treating it to make it potable, and laying a distribution network of pipes for delivery to the users. It also requires investments in sewerage infrastructure and sewage treatment plants so that the sewers can carry the wastewater to these plants to ensure that no untreated sewage is discharged back into natural water bodies. If our cities were rich enough to meet the entire cost, water could be delivered free. They are not.

What is the most logical and crucial message conveyed by the passage?

AUrban local bodies must recover costs through user charges.
BUrban local bodies are not efficient enough to meet the water requirements of our cities.
CWater shortage in our cities is a perennial problem that cannot be solved.
DIn view of the water crisis in our cities, there is an urgent need to limit the population of cities by adopting an upper limit of population size.
Show answer & explanation
ANSWERA
EXPLANATION

Sustainable urban water delivery requires substantial financing for treatment, distribution, sewerage and sewage treatment; therefore cost recovery through user charges is the practical message.

Q25
Reading ComprehensionReading ComprehensionAssumption
PASSAGE

Our urban bodies cannot possibly ensure sustainable delivery of water in our cities unless financing mechanisms are put in place. Water delivery requires heavy investment in collecting it from a natural source, treating it to make it potable, and laying a distribution network of pipes for delivery to the users. It also requires investments in sewerage infrastructure and sewage treatment plants so that the sewers can carry the wastewater to these plants to ensure that no untreated sewage is discharged back into natural water bodies. If our cities were rich enough to meet the entire cost, water could be delivered free. They are not.

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

1. Rich cities only can ensure sustainable delivery of water.

2. Sustainable delivery of water in cities means much more than supplying water to households.

Which of the above assumptions is/are valid?

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

The passage explicitly says sustainable delivery also requires sewerage and treatment, so 2 is valid. It does not say only rich cities can ensure sustainability.

Q26
Reading ComprehensionReading ComprehensionAssumption
PASSAGE

In India, agriculture still engages about half of workforce, and about 85 per cent of its farms small and marginal. Compared to China and Vietnam, which have experienced fast structural and rural transformation, India's story is of slow transformation. As a result, poverty reduction in India was at a much slower pace during 1988–2014, compared to China and Vietnam. India's poverty reduction was slow during 1988–2005, but during 2005–2012, it accelerated dramatically—almost three times faster than during the earlier period. What did India do during this period? Research reveals that the relative price scenario changed significantly (by more than 50%) in favour of agriculture in the wake of rising global prices. This boosted private investments in agriculture by more than 50%. As a result, agri-GDP growth touched 4.1% during 2007–2012 as against 2.4% during 2002–2007. The net surplus of agri-trade touched $25 billion in 2013–2014; real farm wages rose by 7% per annum. All this led to unprecedented fall in poverty.

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

1. Structural and rural transformation is impossible when farms are mainly small and marginal.

2. A good price incentive can trigger investments in agriculture.

3. India needs to build value chains for high-value agri-products like livestock and horticulture.

4. Higher global prices of agricultural commodities are essential for India's poverty reduction.

Which of the above assumptions are valid?

A1 and 3
B2 and 4
C2 and 3
D3 and 4
Show answer & explanation
ANSWERC
EXPLANATION

The passage shows that favorable price incentives boosted private agricultural investment and links transformation to agriculture; it does not say small farms make transformation impossible or that high global prices are essential.

Q27
Reading ComprehensionReading ComprehensionMain Idea / Central Theme
PASSAGE

In India, agriculture still engages about half of workforce, and about 85 per cent of its farms small and marginal. Compared to China and Vietnam, which have experienced fast structural and rural transformation, India's story is of slow transformation. As a result, poverty reduction in India was at a much slower pace during 1988–2014, compared to China and Vietnam. India's poverty reduction was slow during 1988–2005, but during 2005–2012, it accelerated dramatically—almost three times faster than during the earlier period. What did India do during this period? Research reveals that the relative price scenario changed significantly (by more than 50%) in favour of agriculture in the wake of rising global prices. This boosted private investments in agriculture by more than 50%. As a result, agri-GDP growth touched 4.1% during 2007–2012 as against 2.4% during 2002–2007. The net surplus of agri-trade touched $25 billion in 2013–2014; real farm wages rose by 7% per annum. All this led to unprecedented fall in poverty.

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

AIndia should create large-scale off-farm rural employment to reduce poverty in the near future.
BIndia should create a large number of farmer producer companies.
CPrivate investment in agriculture should be given priority over public investment.
DInclusive agricultural growth is key to reduce poverty in the near future.
Show answer & explanation
ANSWERD
EXPLANATION

The passage connects agricultural growth, investment, productivity and wages with accelerated poverty reduction; its broad message is inclusive agricultural growth.

Q28
Logical ReasoningData SufficiencyTwo-Statement / Data Sufficiency

Two Statements S1 and S2 are given below with regard to four numbers P, Q, R and S followed by a Question:

S1: R is greater than P as well as Q.

S2: S is not the largest one.

Question: Among four numbers P, Q, R and S which one is the largest?

AS1 alone is sufficient to answer the Question.
BS2 alone is sufficient to answer the Question.
CS1 and S2 together are sufficient to answer the Question, but neither S1 alone nor S2 alone is sufficient to answer the Question.
DS1 and S2 together are not sufficient to answer the Question.
Show answer & explanation
ANSWERC
EXPLANATION

S1 leaves S as a possible largest number; S2 alone leaves three possibilities. Together, R exceeds P and Q and S is not largest, so R must be largest.

Q29
Logical ReasoningData SufficiencyTwo-Statement / Data Sufficiency

Two Statements S1 and S2 are given below followed by a Question:

S1: n is a prime number.

S2: n leaves a remainder of 1 when divided by 4.

Question: If n is a unique natural number between 10 and 20, then what is n?

Which one of the following is correct?

AS1 alone is sufficient to answer the Question.
BS2 alone is sufficient to answer the Question.
CS1 and S2 together are sufficient to answer the Question, but neither S1 alone nor S2 alone is sufficient.
DS1 and S2 together are not sufficient to answer the Question.
Show answer & explanation
ANSWERD
EXPLANATION

Primes between 10 and 20 are 11, 13, 17 and 19; numbers leaving remainder 1 modulo 4 are 13 and 17. Both statements still leave two possibilities, so they are insufficient.

Q30
Logical ReasoningData SufficiencyTwo-Statement / Data Sufficiency

Two Statements S1 and S2 are given below with regard to two numbers followed by a Question:

S1: Their product is 21.

S2: Their sum is 10.

Question: What are the two numbers?

Which one of the following is correct?

AS1 alone is sufficient to answer the Question.
BS2 alone is sufficient to answer the Question.
CS1 and S2 together are sufficient to answer the Question, but neither S1 alone nor S2 alone is sufficient.
DS1 and S2 together are not sufficient to answer the Question.
Show answer & explanation
ANSWERC
EXPLANATION

Product 21 alone or sum 10 alone allows many pairs, but solving x+y=10 and xy=21 gives x and y as 3 and 7 uniquely (up to order).

Q31
Logical ReasoningDirection SenseDirection, Distance & Turns

A man walks down the backside of his house straight 25 metres, then turns to the right and walks 50 metres again; then he turns towards left and again walks 25 metres. If his house faces to the East, what is his direction from the starting point?

ASouth-East
BSouth-west
CNorth-East
DNorth-west
Show answer & explanation
ANSWERD
EXPLANATION

Facing east means the backside is west. From the starting point he goes west, then turns right (north), then left (west), ending northwest.

Q32
Logical ReasoningSyllogismSyllogism & Set Relations

Two Statements are given followed by two Conclusions:

Statements: All numbers are divisible by 2. All numbers are divisible by 3.

Conclusion-I: All numbers are divisible by 6.

Conclusion-II: All numbers are divisible by 4.

Which of the above Conclusions logically follows/follow from the two given Statements?

AOnly Conclusion-I
BOnly Conclusion-II
CNeither Conclusion-I nor Conclusion-II
DBoth Conclusions-I and Conclusion-II
Show answer & explanation
ANSWERA
EXPLANATION

Divisibility by both 2 and 3 implies divisibility by 6. It does not imply divisibility by 4.

Q33
Logical ReasoningSyllogismSyllogism & Set Relations

Two Statements are given followed by two Conclusions:

Statements: All cats are dogs. All cats are black.

Conclusion-I: All dogs are black.

Conclusion-II: Some dogs are not black.

Which of the above Conclusions logically follows/follow from the two given Statements disregarding commonly known facts?

AOnly Conclusion-I
BOnly Conclusion-II
CNeither Conclusion-I nor Conclusion-II
DBoth Conclusions-I and Conclusion-II
Show answer & explanation
ANSWERC
EXPLANATION

The statements establish only that cats are a subset of both dogs and black things; they do not establish anything about all dogs or non-black dogs.

Q34
Logical ReasoningNumber SeriesNumber / Alphabet Series
Question includes a visual element.

Consider the following sequence of numbers:

5 1 4 7 3 9 8 5 7 2 6 3 1 5 8 6 3 8 5 2 2 4 3 4 9 6

How many odd numbers are followed by an odd number in the above sequence?

A5
B6
C7
D8
Show answer & explanation
ANSWERB
EXPLANATION

Count adjacent pairs in which both the current number and the next number are odd. There are six such pairs.

Q35
Logical ReasoningRanking & OrderingRanking & Position

A is 16th from the left end in a row of boys and V is 18th from the right end. Q is 11th from A towards the right and 3rd from V towards the right end. How many boys are there in the row?

A40
B41
C42
DCannot be determined due to insufficient data
Show answer & explanation
ANSWERB
EXPLANATION

A is position 16 and Q is 27 from the left. Since Q is 3rd from V toward the right, V is 24th from the left; with V 18th from the right, total boys = 24+18−1 = 41.

Q36
Logical ReasoningData SufficiencyTwo-Statement / Data Sufficiency

Three Statements S1, S2 and S3 are given below followed by a Question:

S1: C is younger than D, but older than A and B.

S2: D is the oldest.

S3: A is older than B.

Question: Who among A, B, C and D is the youngest?

AS1 alone is sufficient to answer the Question.
BS1 and S2 together are sufficient to answer the Question.
CS2 and S3 together are sufficient to answer the Question.
DS1 and S3 together are sufficient to answer the Question.
Show answer & explanation
ANSWERD
EXPLANATION

S1 tells us C is older than both A and B but does not rank A versus B. Adding S3 establishes A older than B, so B is youngest.

Q37
Quantitative AptitudeNumber SystemNumber Properties & Patterns

How many integers are there between 1 and 100 which have 4 as a digit but are not divisible by 4?

A5
B11
C12
D13
Show answer & explanation
ANSWERC
EXPLANATION

There are 19 numbers containing digit 4 from 1–100. Among them, 7 are divisible by 4, leaving 12 that contain 4 but are not divisible by 4.

Q38
Quantitative AptitudeNumber SystemNumber Properties & Patterns

Let x, y be the volumes; m, n be the masses of two metallic cubes P and Q respectively. Each side of Q is two times that of P and mass of Q is two times that of P. Let u = m/x and v = n/y. Which one of the following is correct?

Au = 4v
Bu = 2v
Cv = u
Dv = 4u
Show answer & explanation
ANSWERA
EXPLANATION

If the side doubles, Q's volume is eight times P's. Its mass is twice P's. Hence density-like ratio for Q is one-fourth of P's, so u = 4v.

Q39
Quantitative AptitudeAverageBasic Average

The average age of a teacher and three students is 20 years. If all the three students are of same age and the difference between the age of the teacher and each student is 20 years, then what is the age of the teacher?

A25 years
B30 years
C35 years
D45 years
Show answer & explanation
ANSWERC
EXPLANATION

Let student age be x. Teacher age is x+20. Then (x+20+3x)/4=20, giving x=15 and teacher age 35.

Q40
Quantitative AptitudePercentageBasic Percentage

A person bought a car and sold it for Rs. 3,00,000. If he incurred a loss of 20%, then how much did he spend to buy the car?

ARs. 3,60,000
BRs. 3,65,000
CRs. 3,70,000
DRs. 3,75,000
Show answer & explanation
ANSWERD
EXPLANATION

Selling price is 80% of cost price. Thus cost price = 3,00,000/0.8 = Rs. 3,75,000.

Q41
Reading ComprehensionReading ComprehensionMain Idea / Central Theme
PASSAGE

Spanish ships in the late 16th century first brought the potato tuber from South America to Europe whereby in the early 19th century, it had become a reliable backup to cereal crops, particularly in the cold, rain-soaked soils of Ireland. The Irish were soon almost wholly dependent on the potato as their staple food. And they were planting primarily one prodigious variety, the ‘Lumper’ potato, whose genetic frailty would be cruelly exposed by the fungus ‘Phytophthora infestans’. In 1845, spores of the deadly fungus began spreading across the country, destroying nearly all the Lumpers in its path. The resulting famine killed or displaced millions.

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

AFor introducing any foreign plant into a country, the soil and climate conditions of that country should be suitable.
BAs a staple food of a country, tuber crops like potato cannot replace cereal crops.
CSome of the fungal infections of plants cannot be prevented or stopped from spreading across large areas.
DRelying on a homogeneous food source is not desirable.
Show answer & explanation
ANSWERD
EXPLANATION

The famine resulted from near-total dependence on one genetically uniform potato variety; the lesson is to avoid excessive reliance on a homogeneous food source.

Q42
Reading ComprehensionReading ComprehensionInference
PASSAGE

India is at once among the fastest growing global economies and home to the largest number of malnourished children in the world. There are regions where malnutrition is not the exception but the norm. And across the country, malnutrition is the cause of death for roughly half the 1.3 million children who die before their fifth birthday each year. Even those children who survive suffer permanently from the damage that has already been done to their bodies and minds from not getting enough of the right foods and nutrients. Around 44 million children under 5 are stunted. That makes it harder for them to learn in school and subsequently earn a living as adults. Their lifetime earnings potential is almost a quarter less than that of their healthy peers.

With reference to the above passage, which of the following is/are the most rational and practical implication/implications?

1. India’s Public Distribution System should be monitored by the Union Government.

2. Girls should be encouraged to delay marriage and first pregnancy.

3. Mothers should be encouraged to breastfeed their children immediately after birth.

4. The supply of safe drinking water and proper sanitation facilities to all should be ensured.

5. Authorities should ensure the vaccination as prescribed.

Select the correct answer using the code given below.

A1, 2, 3 and 4
B2, 3, 4 and 5
C1 only
D3 and 5 only
Show answer & explanation
ANSWERB
EXPLANATION

The keyed combination addresses practical interventions for maternal and child nutrition, sanitation and preventive health highlighted by the passage.

Q43
Reading ComprehensionReading ComprehensionInference
PASSAGE

The pulse variety ‘Pusa Arhar 16’ has the potential to be grown in the paddy-growing regions of Punjab, Haryana and Uttar Pradesh and eventually in all of India. Its yield (about 2000 kg/hectare) will be significantly greater than those of the existing varieties and because its size will be uniform, it will be amenable to mechanical harvesting, an attractive feature for farmers in northern India who currently use this technology for paddy. Most important, Arhar straw, unlike paddy straw, is green and can be ploughed back into the soil. In paddy straw, the problem is the high silica content, which does not allow for easy decomposition. In the case of Arhar, the farmer, even after combine harvesting, just needs to run a rotovator to cut the leftover straw into pieces, which can be ploughed back and will decompose very fast. All this is difficult with leftover paddy stalks that cannot be easily salvaged or ploughed back. Farmers, therefore, choose the easiest option of simply burning it.

Which of the following are the most rational inferences that can be made from the passage?

1. Farmers' income will be higher with pulse cultivation than with paddy cultivation.

2. Pulse cultivation causes less pollution as compared to paddy cultivation.

3. Pulse straw can be used to improve soil quality.

4. In the context of northern Indian agriculture, paddy straw has no usefulness.

5. Mechanized agriculture is the main cause for stubble burning.

Select the correct answer using the code given below.

A2, 3 and 5
B1, 4 and 5
C2 and 3 only
D1 and 4 only
Show answer & explanation
ANSWERC
EXPLANATION

The passage supports reduced stubble-burning pressure and use of Arhar straw to improve soil; it does not establish the other statements.

Q44
Reading ComprehensionReading ComprehensionAssumption
PASSAGE

In India, authorities always look to store the maximum amount of water in reservoirs during the monsoon season, which is then used for irrigation and generation of electricity during the summer months. It is an internationally accepted practice that the water level of a reservoir should be kept below a certain level before the onset of monsoon season. This is so that when monsoon rains come, there is space to store the excess rainwater and also so that water can be released in a regulated manner. But the authorities store the maximum amount of water in reservoirs even before the close of the monsoon, only to ensure greater electricity generation and irrigation.

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

1. High risks involved in holding maximum water in reservoirs are due to our over-dependence on hydropower projects.

2. Storage capacity of dams should not be fully used before or during monsoon season.

3. Role of dams in flood control is underestimated in India.

Which of the above assumptions is/are valid?

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

The passage supports keeping storage capacity available around the monsoon to absorb inflows; it does not establish assumptions 1 or 3.

Q45
Reading ComprehensionReading ComprehensionInference
PASSAGE

Economic liberalization in India was shaped largely by the economic problems of the government than by the economic priorities of the people or by the long-term development objectives. Thus, there were limitations in conception and design which have been subsequently validated by experience. Jobless growth, persistent poverty and rising inequality have mounted as problems since economic liberalization began. And all these years later, four quiet crises confront the economy: agriculture, infrastructure, industrialization and education as constraints on the country’s future prospects. These problems must be resolved if economic growth has to be sustained and transformed into meaningful development.

Which of the following is/are the most rational and logical inference/inferences that can be made from the passage?

1. It is essential to rethink and redefine the economic role of the State in the quest for development.

2. India has not made effective implementation of its policies in social sectors nor made sufficient investments in them.

Select the correct answer using the code given below.

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

The passage identifies failures in the design and outcomes of liberalization and persistent constraints in major development sectors; both statements are reasonable inferences from that critique.

Q46
Reading ComprehensionReading ComprehensionAssumption
PASSAGE

Economic liberalization in India was shaped largely by the economic problems of the government than by the economic priorities of the people or by the long-term development objectives. Thus, there were limitations in conception and design which have been subsequently validated by experience. Jobless growth, persistent poverty and rising inequality have mounted as problems since economic liberalization began. And all these years later, four quiet crises confront the economy: agriculture, infrastructure, industrialization and education as constraints on the country’s future prospects. These problems must be resolved if economic growth has to be sustained and transformed into meaningful development.

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

1. India's economy needs to be greatly integrated with global economy so as to create large number of jobs and to sustain its growth momentum.

2. Economic liberalization would cause large economic growth which would reduce poverty and create sufficient employment in the long run.

Which of the above assumptions is/are valid?

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

The passage reports jobless growth, persistent poverty and inequality after liberalization, so neither optimistic assumption is supported.

Q47
Quantitative AptitudePercentagePercentage Applications

A shop owner offers the following discount options on an article to a customer:

1. Successive discounts of 10% and 20%, and then pay a service tax of 10%.

2. Successive discounts of 20% and 10%, and then pay a service tax of 10%.

3. Pay a service tax of 10% first, then successive discounts of 20% and 10%.

Which one of the following is correct?

A1 only is the best option for the customer.
B2 only is the best option for the customer.
C3 only is the best option for the customer.
DAll the options are equally good for the customer.
Show answer & explanation
ANSWERD
EXPLANATION

The same multiplicative factors 0.9, 0.8 and 1.1 are applied in different orders; multiplication is commutative, so all three give the same final amount.

Q48
Logical ReasoningCoding-DecodingLetter / Number Coding
Question includes a visual element.

The letters from A to Z are numbered from 1 to 26 respectively. If GHI = 1578 and DEF = 912, then what is ABC equal to?

A492
B468
C262
D246
Show answer & explanation
ANSWERD
EXPLANATION

Applying the same letter-position coding rule used for DEF and GHI to A, B and C gives 246.

Q49
Logical ReasoningCoding-DecodingLetter / Number Coding
Question includes a visual element.

What is the missing term @ in the following?

ACPQ : BESU :: MNGI : @

ANPJL
BNOJM
CNPIL
DNPJM
Show answer & explanation
ANSWERD
EXPLANATION

Applying the same position-wise letter shifts from ACPQ to BESU to MNGI produces NPJM.

Q50
Quantitative AptitudeNumber SystemPowers & Exponents

What is the largest number among the following?

A(1/2)^−6
B(1/4)^−3
C(1/3)^−4
D(1/6)^−2
Show answer & explanation
ANSWERC
EXPLANATION

The four values are 64, 64, 81 and 36 respectively; hence option C is largest.

Q51
Quantitative AptitudeNumber SystemFactors, HCF & LCM

What is the greatest length x such that 3 1/2 m and 8 3/4 m are integral multiples of x?

A1 1/2 m
B1 1/3 m
C1 1/4 m
D1 3/4 m
Show answer & explanation
ANSWERD
EXPLANATION

In quarters the lengths are 14/4 and 35/4; their greatest common measure is 7/4 m = 1¾ m.

Q52
Data InterpretationData InterpretationData Interpretation
PASSAGE

Year | Birth rate | Death rate 1911–1921: 48.1 | 35.5 1921–1931: 46.4 | 36.3 1931–1941: 45.2 | 31.2 1941–1951: 39.9 | 27.4 1951–1961: 41.7 | 22.8 1961–1971: 41.1 | 18.9 1971–1981: 37.1 | 14.8

Question includes a visual element.

For which period was the natural growth rate maximum?

A1911–1921
B1941–1951
C1961–1971
D1971–1981
Show answer & explanation
ANSWERD
EXPLANATION

Subtract death rate from birth rate for each period; the last period has the highest difference (22.3).

Q53
Quantitative AptitudeNumber SystemNumber Properties & Patterns

The recurring decimal representation 1.272727... is equivalent to

A13/11
B14/11
C127/99
D137/99
Show answer & explanation
ANSWERB
EXPLANATION

Let x=1.272727…; then 100x−x=126, so x=126/99=14/11.

Q54
Quantitative AptitudeNumber SystemRemainders

What is the least four-digit number when divided by 3, 4, 5 and 6 leaves a remainder 2 in each case?

A1012
B1022
C1122
D1222
Show answer & explanation
ANSWERB
EXPLANATION

The number minus 2 must be a multiple of lcm(3,4,5,6)=60; the least four-digit solution is 1022.

Q55
Quantitative AptitudePercentageBasic Percentage

In adult population of a city, 40% men and 30% women are married. What is the percentage of married adult population if no man marries more than one woman and no woman marries more than one man; and there are no widows and widowers?

A33 1/7%
B34%
C34 2/7%
D35%
Show answer & explanation
ANSWERC
EXPLANATION

If men=M and women=W, 0.4M=0.3W. The married population is 0.8M out of total 7M/3, giving 34 2/7%.

Q56
Quantitative AptitudeNumber SystemRemainders

What is the remainder when 51 × 27 × 35 × 62 × 75 is divided by 100?

A50
B25
C5
D1
Show answer & explanation
ANSWERA
EXPLANATION

Reducing modulo 100 successively gives 51×27≡77, then 77×35≡95, 95×62≡90 and 90×75≡50.

Q57
Quantitative AptitudeRatio and ProportionRatio & Proportion

A sum of Rs. 2,500 is distributed among X, Y and Z in the ratio 1/2 : 3/4 : 5/6. What is the difference between the maximum share and the minimum share?

ARs. 300
BRs. 350
CRs. 400
DRs. 450
Show answer & explanation
ANSWERC
EXPLANATION

Multiply the ratio by 12 to get 6:9:10. Total 25 parts equals Rs.2500, so the difference is 4 parts = Rs.400.

Q58
Quantitative AptitudeNumber SystemDigits & Number Formation

For what value of n is the sum of digits in the number (10^n + 1) equal to 2?

AFor n = 0 only
BFor any whole number n
CFor any positive integer n only
DFor any real number n
Show answer & explanation
ANSWERB
EXPLANATION

For every whole number n≥0, 10^n+1 has two 1s and therefore digit sum 2.

Q59
Quantitative AptitudeAverageBasic Average

In a class, there are three groups A, B and C. If one student from group A and two students from group B are shifted to group C, then what happens to the average weight of the students of the class?

AIt increases.
BIt decreases.
CIt remains the same.
DNo conclusion can be drawn due to insufficient data.
Show answer & explanation
ANSWERC
EXPLANATION

Moving students between groups does not change total class weight or total class size, so the class average is unchanged.

Q60
Quantitative AptitudePermutation and CombinationCombinations

How many different sums can be formed with the denominations Rs. 50, Rs. 100, Rs. 200, Rs. 500 and Rs. 2,000 taking at least three denominations at a time?

A16
B15
C14
D10
Show answer & explanation
ANSWERA
EXPLANATION

Choose any 3, 4 or 5 of the five denominations: 10+5+1=16 possible combinations.

Q61
Reading ComprehensionReading ComprehensionInference
PASSAGE

Bank credit to the industrial sector has started shrinking. Its decline has been a serious concern as credit growth is essential to revive investment. The problem's origins lie in the incomplete reforms of the last 25 years. An institutional change that should have followed the 1991 reforms should have been setting up of a resolution corporation for banks. In a market economy with booms and busts, banks should be allowed to be set up and to fail. Today, we cannot shut down banks because there is no proper system to shut them down. Weak loss-making banks continue to need more capital.

Which one of the following is the most logical and rational inference that can be made from the above passage?

AIndian banking system is not able to help the country in its economic growth.
BEconomic reforms that started in 1991 have not helped in improving the economy to expected levels.
CIndia lacks the institutional mechanism to deal with the failure of banks.
DEncouraging the foreign investments in our industrial sector is a good alternative to this sector's dependence on banks for credit.
Show answer & explanation
ANSWERC
EXPLANATION

The passage directly identifies the absence of a proper system for shutting down failed banks.

Q62
Reading ComprehensionReading ComprehensionInference
PASSAGE

India has tremendous potential for solar energy. We all realize that we have to stop burning fossil fuels to meet our energy needs. But certain renewable resources are still going through their cost curves and learning curves to get the required amount of output. The Indian Government has strongly committed to its targets of reducing emissions by 33 percent by 2030, and towards this it has initiated a strong push towards a gas-based economy and has also invested heavily in renewable energy. However, business houses are wary of investing too heavily in renewable energy at a time when the technology is not yet ready.

Which one of the following is the most logical and rational inference that can be made from the above passage?

AIndia's commitment to reduce emissions by 33% is unlikely to be achieved.
BIndia should import gas rather than invest in renewable resources.
CGetting renewable resources to market too soon may be costly.
DIndia should put in more efforts in the exploration of natural gas.
Show answer & explanation
ANSWERC
EXPLANATION

The passage says renewable technologies are still on their cost and learning curves and may not yet be ready; premature commercialization can therefore be costly.

Q63
Reading ComprehensionReading ComprehensionAssumption
PASSAGE

India has tremendous potential for solar energy. We all realize that we have to stop burning fossil fuels to meet our energy needs. But certain renewable resources are still going through their cost curves and learning curves to get the required amount of output. The Indian Government has strongly committed to its targets of reducing emissions by 33 percent by 2030, and towards this it has initiated a strong push towards a gas-based economy and has also invested heavily in renewable energy. However, business houses are wary of investing too heavily in renewable energy at a time when the technology is not yet ready.

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

1. Governments often provide inefficient and costly subsidies for technologies that may not be ready in the near future.

2. India’s commitment of reducing emissions by 33% by 2030 shall be on the basis of gas-based economy.

Which of the above assumptions is/are valid?

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

Neither statement follows from the passage: it mentions government support and a gas-based push, but not inefficient subsidies or a gas-only basis for the target.

Q64
Reading ComprehensionReading ComprehensionAssumption
PASSAGE

Genome editing is different from genome modification. Genome editing typically involves finding the part of a plant genome that could be changed to render it less vulnerable to disease, or resistant to certain herbicides, or to increase yields. Researchers use ‘molecular scissors’ to dissect the genome and repair it, which is a process that occurs naturally when plants are under attack from diseases and can throw up new mutations that enable the plant to survive future attacks. This evolutionary process can effectively be speeded up now that it is possible to examine plant genomes in detail in laboratories, and create mechanisms through which the relevant genes can be altered very precisely.

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

1. Genome editing does not require the transfer of genes from one plant to another.

2. Through genome editing, the chosen genes can be altered precisely in a manner akin to the natural process that helps plants to adapt to environmental factors.

Which of the above assumptions is/are valid?

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

The passage distinguishes editing from modification and describes precise alteration of selected genes in a process analogous to natural adaptation.

Q65
Reading ComprehensionReading ComprehensionMain Idea / Central Theme
PASSAGE

Many people understand the connection between solid waste management and health in terms of the consequences of unattended heaps of garbage which become home for flies and other vermin. However, there is another aspect that is not well-understood, that is, what happens when unscientific solid waste management combines with poor drainage and dumping of untreated sewage into drains which are meant to carry storm water during rains. The result is choked drains which are full of stagnant water breeding mosquitoes, resulting in the spread of water-borne diseases.

In the context of India, which one of the following statements best reflects the critical message of the passage?

AIn India, the drainage networks are not separate for sewerage and storm water.
BUrban local bodies do not have enough resources and legislative authority to deal with the problems of waste management.
CSolid waste management should be integrated with the maintenance of drainage and sewerage networks.
DBad management of solid waste and sewerage systems by our municipalities is the reason for drinking water shortages in our cities.
Show answer & explanation
ANSWERC
EXPLANATION

The passage connects solid waste, drainage, sewage and disease, so these systems need to be managed together.

Q66
Reading ComprehensionReading ComprehensionInference
PASSAGE

In Part III of the Constitution which assures people certain fundamental rights, Article 25 proclaims that “all persons are equally entitled to freedom of conscience and the right freely to profess, practice and propagate religion”. What people fail to notice is that this proclamation is prefixed with the words “subject to public order, morality, health and to the other provisions of this Part”, which set conditions precedent for the legal protection of religious practices of any community. The closing words of this prefatory rider in Article 25 virtually constitute a subordination clause placing other fundamental rights mentioned in Part III over and above the right to religious freedom. Among those other fundamental rights is the right to equality before law and equal protection of laws—assured at the outset and elaborated in later articles to mean, inter alia, that the State shall not deny equal protection of laws to any person or group of persons on the basis of religion alone.

What is the most logical inference from the above passage?

AState shall not interfere with the religious affairs of the citizens.
BReligious freedom under the Constitution is open to State intervention.
CReligious freedom of the citizens is not covered under fundamental rights.
DReligious practices of any community are immune to State laws.
Show answer & explanation
ANSWERB
EXPLANATION

Article 25 itself makes religious freedom subject to public order, morality, health and other fundamental-right provisions, so it is open to lawful State regulation.

Q67
Logical ReasoningPermutation and CombinationPermutations / Arrangements

How many different 5-letter words (with or without meaning) can be constructed using all the letters of the word ‘DELHI’ so that each word has to start with D and end with I?

A24
B18
C12
D6
Show answer & explanation
ANSWERD
EXPLANATION

With D fixed first and I fixed last, E, L and H can be arranged in 3!=6 ways.

Q68
Quantitative AptitudeMixture and AlligationReplacement

A bottle contains 20 litres of liquid A. 4 litres of liquid A is taken out of it and replaced by the same quantity of liquid B. Again 4 litres of the mixture is taken out and replaced by the same quantity of liquid B. What is the ratio of quantity of liquid A to that of liquid B in the final mixture?

A4 : 1
B5 : 1
C16 : 9
D17 : 8
Show answer & explanation
ANSWERC
EXPLANATION

After two replacements, A=20(16/20)^2=12.8 L and B=7.2 L, so the ratio is 16:9.

Q69
Quantitative AptitudeAverageBasic Average

The average score of a batsman after his 50th innings was 46.4. After 60th innings, his average score increases by 2.6. What was his average score in the last ten innings?

A122
B91
C62
D49
Show answer & explanation
ANSWERC
EXPLANATION

Total after 50 innings is 2320; new average is 49, so total after 60 is 2940. The last ten total 620, giving 62.

Q70
Quantitative AptitudePercentageBasic Percentage

As a result of 25% hike in the price of rice per kg, a person is able to purchase 6 kg less rice for Rs. 1,200. What was the original price of rice per kg?

ARs. 30
BRs. 40
CRs. 50
DRs. 60
Show answer & explanation
ANSWERB
EXPLANATION

If original price is p, 1200/p−1200/(1.25p)=6; solving gives p=40.

Q71
Quantitative AptitudeTime and WorkWork & Time

A person can complete 20% of work in 8 days and another person can complete 25% of the same work in 6 days. If they work together, in how many days will 40% of the work be completed?

A6
B8
C10
D12
Show answer & explanation
ANSWERA
EXPLANATION

The first rate is 2.5% per day and the second is 25/6% per day. Together they complete 20/3% per day, so 40% takes 6 days.

Q72
Quantitative AptitudeTime, Speed and DistanceAverage Speed

A car travels from a place X to place Y at an average speed of v km/hr, from Y to X at an average speed of 2v km/hr, again from X to Y at an average speed of 3v km/hr and again from Y to X at an average speed of 4v km/hr. Then the average speed of the car for the entire journey

Ais less than v km/hr
Blies between v and 2v km/hr
Clies between 2v and 3v km/hr
Dlies between 3v and 4v km/hr
Show answer & explanation
ANSWERB
EXPLANATION

For equal distances, average speed is 4/(1+1/2+1/3+1/4)v = 48v/25 = 1.92v, which lies between v and 2v.

Q73
Quantitative AptitudeGeometry and MensurationGeometry

Consider the following statements:

1. The minimum number of points of intersection of a square and a circle is 2.

2. The maximum number of points of intersection of a square and a circle is 8.

Which of the above statements is/are correct?

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

A circle can intersect the four sides of a square at up to 8 points, but it can also have zero or one/tangent intersections, so the claimed minimum of 2 is not generally valid.

Q74
Quantitative AptitudeTime, Speed and DistanceBoats & Streams

A man takes half time in rowing a certain distance downstream than upstream. What is the ratio of the speed in still water to the speed of current?

A1 : 2
B2 : 1
C1 : 3
D3 : 1
Show answer & explanation
ANSWERD
EXPLANATION

Let still-water speed be u and current speed v. D/(u+v) is half of D/(u−v), so u−v = 2(u+v), giving u/v = 3.

Q75
Quantitative AptitudeNumber SystemNumber Properties & Patterns

How many pairs of natural numbers are there such that the difference of whose squares is 63?

A3
B4
C5
D2
Show answer & explanation
ANSWERA
EXPLANATION

Factor 63 as (a−b)(a+b). The factor pairs (1,63), (3,21), (7,9) give three natural-number pairs.

Q76
Quantitative AptitudeNumber SystemFractions

Which one of the following will have minimum change in its value if 5 is added to both numerator and the denominator of the fractions 2/3, 3/4, 4/5 and 5/6?

A2/3
B3/4
C4/5
D5/6
Show answer & explanation
ANSWERD
EXPLANATION

For a fraction a/b, adding the same positive number changes it by 5(b−a)/(b(b+5)); this is smallest for 5/6 among the four listed fractions.

Q77
Quantitative AptitudeNumber SystemDivisibility

A digit n > 3 is divisible by 3 but not divisible by 6. Which one of the following is divisible by 4?

A2n
B3n
C2n + 4
D3n + 1
Show answer & explanation
ANSWERD
EXPLANATION

n is divisible by 3 but odd, so n is 3, 9, 15, ... . Then 3n is divisible by 9 but not necessarily by 4; 3n+1 is divisible by 4 for these admissible n, while the other expressions are not guaranteed.

Q78
Quantitative AptitudeGeometry and MensurationGeometry

If 1 litre of water weighs 1 kg, then how many cubic millimeters of water will weigh 0.1 gm?

A1
B10
C100
D1000
Show answer & explanation
ANSWERC
EXPLANATION

1 litre = 1,000,000 mm³ and 1 kg = 1000 g, so 1 g corresponds to 1000 mm³. Therefore 0.1 g corresponds to 100 mm³.

Q79
Quantitative AptitudeRatio and ProportionRatio in Mixtures

A vessel full of water weighs 40 kg. If it is one-third filled, its weight becomes 20 kg. What is the weight of the empty vessel?

A10 kg
B15 kg
C20 kg
D25 kg
Show answer & explanation
ANSWERA
EXPLANATION

Let empty weight be E and full water weight be W. E+W=40 and E+W/3=20, so 2W/3=20, W=30 and E=10 kg.

Q80
Quantitative AptitudeTime, Speed and DistanceRelative Speed / Meeting

A frog tries to come out of a dried well 4.5 m deep with slippery walls. Every time the frog jumps 30 cm, slides down 15 cm. What is the number of jumps required for the frog to come out of the well?

A28
B29
C30
D31
Show answer & explanation
ANSWERB
EXPLANATION

Each completed jump except the last gives a net gain of 15 cm. After 28 jumps the frog reaches 4.2 m; on the 29th jump it climbs the remaining 30 cm and gets out before sliding back.