2020

Q1

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

1. (a)Strong measures need to be taken to reduce the rural to urban migration of labour.
2. (b)The working condition in construction and unregistered manufacturing needs to be improved.
3. (c)Service sector has been reducing the problem of unemployment.
4. (d)Increased social sector spending is imperative for large-scale job creation.UPSC key

Q2

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?

1. (a)1 and 2UPSC key
2. (b)3 only
3. (c)1 and 3
4. (d)2 only

Q3

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

1. (a)Rivers and other wetlands should be protected under Ramsar Convention.
2. (b)Engineering water systems should be modernized and further augmented.
3. (c)Wetlands need to be reinforced as more than just open sources of water.UPSC key
4. (d)Water supply should not be free of cost so as to prevent its misuse or overuse.

Q4

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

1. (a)Distribute your wealth across different kinds of assets so that your risks would be minimized.UPSC key
2. (b)Risk-taking behaviour should be a necessary component of your personality if you want to generate wealth.
3. (c)While making investments, find a trustworthy asset management organization which would manage your wealth for you.
4. (d)You should know that investing your money is a risky business.

Q5

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?

1. (a)1, 2 and 4 only
2. (b)1 and 3 onlyUPSC key
3. (c)2, 3 and 4 only
4. (d)1, 2, 3 and 4

Q6

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

1. (a)Precautionary principle is not given importance in current debate on developing GM crops.
2. (b)Biotechnology is not currently used in climate change mitigation and adaptation mechanisms.
3. (c)Biotechnology’s role is not confined to the current priorities of developing GM crops.UPSC key
4. (d)The negative impacts of biotechnology are not properly understood.

Q7

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

1. (a)10UPSC key
2. (b)12
3. (c)14
4. (d)15

Q8

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

1. (a)3
2. (b)9UPSC key
3. (c)37
4. (d)(X + Y + Z)

Q9

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?

1. (a)p
2. (b)q
3. (c)rUPSC key
4. (d)s

Q10

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

1. (a)ZeroUPSC key
2. (b)One
3. (c)Nine
4. (d)Ten

Q11

In the sum

⊗ + 1⊗ + 5⊗ + ⊗⊗ + ⊗1 = 1⊗⊗

for which digit does the symbol ⊗ stand?

1. (a)2
2. (b)3UPSC key
3. (c)4
4. (d)5

Q12

If you have two straight sticks of length 7·5 feet and 3·25 feet, what is the minimum length can you measure?

1. (a)0·05 foot
2. (b)0·25 footUPSC key
3. (c)1 foot
4. (d)3·25 feet

Q13

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?

1. (a)34
2. (b)36
3. (c)38UPSC key
4. (d)40

Q14

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?

1. (a)5, 6
2. (b)7, 8UPSC key
3. (c)9, 10
4. (d)11, 12

Q15

Consider the following arrangement that has some missing letters:

abab_b_bcb_dcdcded_d

The missing letters which complete the arrangement are

1. (a)a, b, c, d
2. (b)a, b, d, e
3. (c)a, c, c, eUPSC key
4. (d)b, c, d, e

Q16

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?

1. (a)1
2. (b)2
3. (c)3UPSC key
4. (d)4

Q17

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 in respect of the above Statements and the Question?

1. (a)Both S1 and S2 are sufficient to answer the Question, but neither S1 alone nor S2 alone is sufficient to answer the Question.
2. (b)S1 alone is sufficient to answer the Question.
3. (c)S1 and S2 together are not sufficient to answer the Question.UPSC key
4. (d)S2 alone is sufficient to answer the Question.

Q18

Consider the following data:

What is the value of x in the above table?

1. (a)7·8UPSC key
2. (b)7·6
3. (c)7·4
4. (d)7·2

Q19

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?

1. (a)R is U’s husband.
2. (b)R is S’s wife.UPSC key
3. (c)S is unmarried.
4. (d)None of the above

Q20

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

1. (a)15th July is a Sunday if the year is a leap year.
2. (b)15th July is a Sunday if the year is not a leap year.
3. (c)12th July is a Sunday if the year is a leap year.UPSC key
4. (d)12th July is not a Sunday if the year is a leap year.

Q21

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?

1. (a)1, 2 and 4
2. (b)1, 3 and 5UPSC key
3. (c)2, 4 and 5
4. (d)3 only

Q22

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.

1. (a)1 and 2UPSC key
2. (b)2, 4 and 5
3. (c)1, 3 and 4
4. (d)2, 3 and 5

Q23

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?

1. (a)1 only
2. (b)2 only
3. (c)3 onlyUPSC key
4. (d)1, 2 and 3

Q24

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

1. (a)Urban local bodies must recover costs through user charges.UPSC key
2. (b)Urban local bodies are not efficient enough to meet the water requirements of our cities.
3. (c)Water shortage in our cities is a perennial problem that cannot be solved.
4. (d)In 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.

Q25

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?

1. (a)1 only
2. (b)2 onlyUPSC key
3. (c)Both 1 and 2
4. (d)Neither 1 nor 2

Q26

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?

1. (a)1 and 3
2. (b)2 and 4
3. (c)2 and 3UPSC key
4. (d)3 and 4

Q27

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

1. (a)India should create large-scale off-farm rural employment to reduce poverty in the near future.
2. (b)India should create a large number of farmer producer companies.
3. (c)Private investment in agriculture should be given priority over public investment.
4. (d)Inclusive agricultural growth is key to reduce poverty in the near future.UPSC key

Q28

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?

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

1. (a)S1 alone is sufficient to answer the Question.
2. (b)S2 alone is sufficient to answer the Question.
3. (c)S1 and S2 together are sufficient to answer the Question, but neither S1 alone nor S2 alone is sufficient to answer the Question.UPSC key
4. (d)S1 and S2 together are not sufficient to answer the Question.

Q29

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 in respect of the above Statements and the Question?

1. (a)S1 alone is sufficient to answer the Question.
2. (b)S2 alone is sufficient to answer the Question.
3. (c)S1 and S2 together are sufficient to answer the Question, but neither S1 alone nor S2 alone is sufficient to answer the Question.
4. (d)S1 and S2 together are not sufficient to answer the Question.UPSC key

Q30

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 in respect of the above Statements and the Question?

1. (a)S1 alone is sufficient to answer the Question.
2. (b)S2 alone is sufficient to answer the Question.
3. (c)S1 and S2 together are sufficient to answer the Question, but neither S1 alone nor S2 alone is sufficient to answer the Question.UPSC key
4. (d)S1 and S2 together are not sufficient to answer the Question.

Q31

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?

1. (a)South-East
2. (b)South-West
3. (c)North-East
4. (d)North-WestUPSC key

Q32

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?

1. (a)Only Conclusion–IUPSC key
2. (b)Only Conclusion–II
3. (c)Neither Conclusion–I nor Conclusion–II
4. (d)Both Conclusion–I and Conclusion–II

Q33

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?

1. (a)Only Conclusion–I
2. (b)Only Conclusion–II
3. (c)Neither Conclusion–I nor Conclusion–IIUPSC key
4. (d)Both Conclusion–I and Conclusion–II

Q34

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 the odd number in the above sequence?

1. (a)5
2. (b)6UPSC key
3. (c)7
4. (d)8

Q35

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

1. (a)40
2. (b)41UPSC key
3. (c)42
4. (d)Cannot be determined due to insufficient data

Q36

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?

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

1. (a)S1 alone is sufficient to answer the Question.
2. (b)S1 and S2 together are sufficient to answer the Question.
3. (c)S2 and S3 together are sufficient to answer the Question.
4. (d)S1 and S3 together are sufficient to answer the Question.UPSC key

Q37

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

1. (a)5
2. (b)11
3. (c)12UPSC key
4. (d)13

Q38

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?

1. (a)u = 4vUPSC key
2. (b)u = 2v
3. (c)v = u
4. (d)v = 4u

Q39

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?

1. (a)25 years
2. (b)30 years
3. (c)35 yearsUPSC key
4. (d)45 years

Q40

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

1. (a)₹ 3,60,000
2. (b)₹ 3,65,000
3. (c)₹ 3,70,000
4. (d)₹ 3,75,000UPSC key

Q41

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

1. (a)For introducing any foreign plant into a country, the soil and climate conditions of that country should be suitable.
2. (b)As a staple food of a country, tuber crops like potato cannot replace cereal crops.
3. (c)Some of the fungal infections of plants cannot be prevented or stopped from spreading across large areas.
4. (d)Relying on a homogeneous food source is not desirable.UPSC key

Q42

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.

1. (a)1, 2, 3 and 4
2. (b)2, 3, 4 and 5UPSC key
3. (c)1 only
4. (d)3 and 5 only

Q43

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.

1. (a)2, 3 and 5
2. (b)1, 4 and 5
3. (c)2 and 3 onlyUPSC key
4. (d)1 and 4 only

Q44

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?

1. (a)1 and 2 only
2. (b)2 only
3. (c)3 only
4. (d)1, 2 and 3UPSC key

Q45

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.

1. (a)1 only
2. (b)2 only
3. (c)Both 1 and 2UPSC key
4. (d)Neither 1 nor 2

Q46

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?

1. (a)1 only
2. (b)2 only
3. (c)Both 1 and 2
4. (d)Neither 1 nor 2UPSC key

Q47

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?

1. (a)1 only is the best option for the customer.
2. (b)2 only is the best option for the customer.
3. (c)3 only is the best option for the customer.
4. (d)All the options are equally good for the customer.UPSC key

Q48

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?

1. (a)492
2. (b)468
3. (c)262
4. (d)246UPSC key

Q49

What is the missing term @ in the following?

ACPQ: BESU :: MNGI: @

1. (a)NPJL
2. (b)NOJM
3. (c)NPIL
4. (d)NPJMUPSC key

Q50

What is the largest number among the following?

1. (a)($\dfrac{1}{2}$)⁻⁶
2. (b)($\dfrac{1}{4}$)⁻³
3. (c)($\dfrac{1}{3}$)⁻⁴UPSC key
4. (d)($\dfrac{1}{6}$)⁻²

Q51

What is the greatest length x such that 3 $\dfrac{1}{2}$ m and 8 $\dfrac{3}{4}$ m are integral multiples of x?

1. (a)1 $\dfrac{1}{2}$ m
2. (b)1 $\dfrac{1}{3}$ m
3. (c)1 $\dfrac{1}{4}$ m
4. (d)1 $\dfrac{3}{4}$ mUPSC key

Q52

Consider the following data:

For which period was the natural growth rate maximum?

1. (a)1911–1921
2. (b)1941–1951
3. (c)1961–1971
4. (d)1971–1981UPSC key

Q53

The recurring decimal representation 1·272727... is equivalent to

1. (a)$\dfrac{13}{11}$
2. (b)$\dfrac{14}{11}$UPSC key
3. (c)$\dfrac{127}{99}$
4. (d)$\dfrac{137}{99}$

Q54

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

1. (a)1012
2. (b)1022UPSC key
3. (c)1122
4. (d)1222

Q55

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?

1. (a)33 $\dfrac{1}{7}$%
2. (b)34%
3. (c)34 $\dfrac{2}{7}$%UPSC key
4. (d)35%

Q56

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

1. (a)50UPSC key
2. (b)25
3. (c)5
4. (d)1

Q57

A sum of ₹ 2,500 is distributed among X, Y and Z in the ratio $\dfrac{1}{2}$: $\dfrac{3}{4}$: $\dfrac{5}{6}$. What is the difference between the maximum share and the minimum share?

1. (a)₹ 300
2. (b)₹ 350
3. (c)₹ 400UPSC key
4. (d)₹ 450

Q58

For what value of n, the sum of digits in the number ($10^{n}$ + 1) is 2?

1. (a)For n = 0 only
2. (b)For any whole number nUPSC key
3. (c)For any positive integer n only
4. (d)For any real number n

Q59

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?

1. (a)It increases.
2. (b)It decreases.
3. (c)It remains the same.UPSC key
4. (d)No conclusion can be drawn due to insufficient data.

Q60

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

1. (a)16UPSC key
2. (b)15
3. (c)14
4. (d)10

Q61

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

1. (a)Indian banking system is not able to help the country in its economic growth.
2. (b)Economic reforms that started in 1991 have not helped in improving the economy to expected levels.
3. (c)India lacks the institutional mechanism to deal with the failure of banks.UPSC key
4. (d)Encouraging the foreign investments in our industrial sector is a good alternative to this sector’s dependence on banks for credit.

Q62

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

1. (a)India’s commitment to reduce emissions by 33% is unlikely to be achieved.
2. (b)India should import gas rather than invest in renewable resources.
3. (c)Getting renewable resources to market too soon may be costly.UPSC key
4. (d)India should put in more efforts in the exploration of natural gas.

Q63

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?

1. (a)1 onlyUPSC key
2. (b)2 only
3. (c)Both 1 and 2
4. (d)Neither 1 nor 2

Q64

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 the environmental factors.

Which of the above assumptions is/are valid?

1. (a)1 only
2. (b)2 only
3. (c)Both 1 and 2UPSC key
4. (d)Neither 1 nor 2

Q65

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

1. (a)In India, the drainage networks are not separate for sewerage and storm water.
2. (b)Urban local bodies do not have enough resources and legislative authority to deal with the problems of waste management.
3. (c)Solid waste management should be integrated with the maintenance of drainage and sewerage networks.UPSC key
4. (d)Bad management of solid waste and sewerage systems by our municipalities is the reason for drinking water shortages in our cities.

Q66

What is the most logical inference from the above passage?

1. (a)State shall not interfere with the religious affairs of the citizens.
2. (b)Religious freedom under the Constitution is open to State intervention.UPSC key
3. (c)Religious freedom of the citizens is not covered under fundamental rights.
4. (d)Religious practices of any community are immune to State laws.

Q67

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?

1. (a)24
2. (b)18
3. (c)12
4. (d)6UPSC key

Q68

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

1. (a)4: 1
2. (b)5: 1
3. (c)16: 9UPSC key
4. (d)17: 8

Q69

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?

1. (a)122
2. (b)91
3. (c)62UPSC key
4. (d)49

Q70

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

1. (a)₹ 30
2. (b)₹ 40UPSC key
3. (c)₹ 50
4. (d)₹ 60

Q71

A person X can complete 20% of work in 8 days and another person Y 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?

1. (a)6UPSC key
2. (b)8
3. (c)10
4. (d)12

Q72

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

1. (a)is less than v km/hr
2. (b)lies between v and 2v km/hrUPSC key
3. (c)lies between 2v and 3v km/hr
4. (d)lies between 3v and 4v km/hr

Q73

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?

1. (a)1 only
2. (b)2 onlyUPSC key
3. (c)Both 1 and 2
4. (d)Neither 1 nor 2

Q74

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?

1. (a)1: 2
2. (b)2: 1
3. (c)1: 3
4. (d)3: 1UPSC key

Q75

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

1. (a)3UPSC key
2. (b)4
3. (c)5
4. (d)2

Q76

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 $\dfrac{2}{3}$, $\dfrac{3}{4}$, $\dfrac{4}{5}$ and $\dfrac{5}{6}$?

1. (a)$\dfrac{2}{3}$
2. (b)$\dfrac{3}{4}$
3. (c)$\dfrac{4}{5}$
4. (d)$\dfrac{5}{6}$UPSC key

Q77

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

1. (a)2n
2. (b)3n
3. (c)2n + 4
4. (d)3n + 1UPSC key

Q78

If 1 litre of water weighs 1 kg, then how many cubic millimetres of water will weigh 0·1 gm?

1. (a)1
2. (b)10
3. (c)100UPSC key
4. (d)1000

Q79

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?

1. (a)10 kgUPSC key
2. (b)15 kg
3. (c)20 kg
4. (d)25 kg

Q80

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?

1. (a)28
2. (b)29UPSC key
3. (c)30
4. (d)31