Basic Arithmetic · Basic Numeracy · UPSC Civil Service

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MCQ (Single Correct Answer)

1

A certain number of men can complete a piece of work in $6k$ days, where $k$ is a natural number. By what percent should the number of men be increased so that the work can be completed in $5k$ days?

UPSC Civil Service Prelims Paper II 2024 (CSAT)
2

X, Y and Z can complete a piece of work individually in 6 hours, 8 hours and 8 hours respectively. However, only one person at a time can work in each hour and nobody can work for two consecutive hours. All are engaged to finish the work. What is the minimum amount of time that they will take to finish the work?

UPSC Civil Service Prelims Paper II 2024 (CSAT)
3

What percent of water must be mixed with honey so as to gain 20% by selling the mixture at the cost price of honey?

UPSC Civil Service Prelims Paper II 2024 (CSAT)
4

What is the rightmost digit preceding the zeros in the value of $30^{30}$?

UPSC Civil Service Prelims Paper II 2024 (CSAT)
5

Two persons P and Q enter into a business. P puts ₹14,000 more than Q, but P has invested for 8 months and Q has invested for 10 months. If P's share is ₹400 more than Q's share out of the total profit of ₹2,000, what is the capital contributed by P?

UPSC Civil Service Prelims Paper II 2024 (CSAT)
6

P's salary is 20% lower than Q's salary which is 20% lower than R's salary. By how much percent is R's salary more than P's salary?

UPSC Civil Service Prelims Paper II 2024 (CSAT)
7

A number is mistakenly divided by 4 instead of multiplying by 4. What is the percentage change in the result due to this mistake?

UPSC Civil Service Prelims Paper II 2024 (CSAT)
8

Consider the following :

Weight of 6 boys = Weight of 7 girls = Weight of 3 men = Weight of 4 women

If the average weight of the women is 63 kg, then what is the average weight of the boys?

UPSC Civil Service Prelims Paper II 2024 (CSAT)
9

What is the number of fives used in numbering a 260-page book?

UPSC Civil Service Prelims Paper II 2024 (CSAT)
10

A person buys three articles P, Q and R for ₹ 3,330. If P costs 25% more than R and R costs 20% more than Q, then what is the cost of P?

UPSC Civil Service Prelims Paper II 2024 (CSAT)
11
What is the remainder when 85 × 87 × 89 × 91 × 95 × 96 is divided by 100?
UPSC Civil Service Prelims Paper II 2023 (CSAT)
12
What is the unit digit in the expansion of (57242)9×7×5×3×1?
UPSC Civil Service Prelims Paper II 2023 (CSAT)
13
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?
UPSC Civil Service Prelims Paper II 2023 (CSAT)
14
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?
UPSC Civil Service Prelims Paper II 2023 (CSAT)
15
What is the sum of all digits which appear in all the integers from 10 to 100?
UPSC Civil Service Prelims Paper II 2023 (CSAT)
16
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, then which one of the following is correct?
UPSC Civil Service Prelims Paper II 2023 (CSAT)
17

Consider a 3-digit number.

Question: What is the number?

Statement-1: The sum of the digits of the number is equal to the product of the digits.

Statement-2: The number is divisible by the sum of the digits of the number.

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

UPSC Civil Service Prelims Paper II 2023 (CSAT)
18

There are large number of silver coins weighing 2 gm, 5 gm, 10 gm, 25 gm, 50 gm each. Consider the following statements:

1. To buy 78 gm of coins one must buy at least 7 coins.

2. To weigh 78 gm using these coins one can use less than 7 coins.

Which of the statements given above is/are correct?

UPSC Civil Service Prelims Paper II 2023 (CSAT)
19
What is the remainder if 2192 is divided by 6?
UPSC Civil Service Prelims Paper II 2023 (CSAT)
20
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. Further 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?
UPSC Civil Service Prelims Paper II 2023 (CSAT)
21

A bill for ₹1,840 is paid in the denominations of ₹50, ₹20 and ₹10 notes. 50 notes in all are used. Consider the following statements :

1. 25 notes of ₹50 are used and the remaining are in the denominations of ₹20 and ₹10.

2. 35 notes of ₹20 are used and the remaining are in the denominations of ₹50 and ₹10.

3. 20 notes of ₹10 are used and the remaining are in the denominations of ₹50 and ₹20.

Which of the above statements are not correct? 

UPSC Civil Service Prelims Paper II 2022 (CSAT)
22
X and Y run a 3 km race along a circular course of length 300 m. Their speeds are in the ratio 3 : 2. If they start together in the same direction, how many times would the first one pass the other (the start-off is not counted as passing)?
UPSC Civil Service Prelims Paper II 2022 (CSAT)
23
The increase in the price of a certain item was 25%. Then the price was decreased by 20% and then again increased by 10%. What is the resultant increase in the price?
UPSC Civil Service Prelims Paper II 2022 (CSAT)
24
On one side of a 1·01 km long road, 101 plants are planted at equal distance from each other. What is the total distance between 5 consecutive plants?
UPSC Civil Service Prelims Paper II 2022 (CSAT)
25
How many seconds in total are there in x weeks, x days, x hours, x minutes and x seconds?
UPSC Civil Service Prelims Paper II 2022 (CSAT)
26

Five friends P, Q, X, Y and Z purchased some notebooks. The relevant information is given below:

1. Z purchased 8 notebooks more than X did.

2. P and Q together purchased 21 notebooks.

3. Q purchased 5 notebooks less than P did.

4. X and Y together purchased 28 notebooks.

5. P purchased 5 notebooks more than X did.

If each notebook is priced 40, then what is the total cost of all the notebooks?

UPSC Civil Service Prelims Paper II 2022 (CSAT)
27
24 men and 12 women can do a piece of work in 30 days. In how many days can 12 men and 24 women do the same piece of work?
UPSC Civil Service Prelims Paper II 2022 (CSAT)
28
Two candidates X and Y contested an election. 80% of voters cast their vote and there were no invalid votes. There was no NOTA (None of the above) option. X got 56% of the votes cast and won by 1440 votes. What is the total number of voters in the voters list?
UPSC Civil Service Prelims Paper II 2022 (CSAT)
29
The average weight of A, B, C is 40 kg, the average weight of B, D, E is 42 kg and the weight of F is equal to that of B. What is the average weight of A, B, C, D, E and F?
UPSC Civil Service Prelims Paper II 2022 (CSAT)
30

A person X from place A and another person Y from place B set out at the same time to walk towards each other. The places are separated by a distance of 15 km. X walks with a uniform speed of 1.5 km/hr for the whole distance and Y walks with a uniform speed of 1 km/hr in the first hour, with a uniform speed of 1.25 km/hr in the second hour and with a uniform speed of 1.5 km/hr in the third hour and so on.

Which of the following is/are correct?

1. They take 5 hours to meet.

2. They meet midway between A and B.

Select the correct answer using the code given below:

UPSC Civil Service Prelims Paper II 2021 (CSAT)
31
A student appeared in 6 papers. The maximum marks are the same for each paper. His marks in these papers are in the proportion of 5 : 6 : 7 : 8 : 9 : 10. Overall he scored 60%. In how many number of papers did he score less than 60% of the maximum marks?
UPSC Civil Service Prelims Paper II 2021 (CSAT)
32
In a class, 60% of students are from India and 50% of the students are girls. If 30% of the Indian students are girls, then what percentage of foreign students are boys?
UPSC Civil Service Prelims Paper II 2021 (CSAT)
33
If the price of an article is decreased by 20% and then the new price is increased by 25%, then what is the net change in the price?
UPSC Civil Service Prelims Paper II 2021 (CSAT)
34
A man completes 7/8 of a job in 21 days. How many more days will it take him to finish the job if quantum of work further increased by 50%?
UPSC Civil Service Prelims Paper II 2021 (CSAT)
35
P scored 40 marks more than Q in the examination. If Q scores 10% less marks than P, then how much did Q score?
UPSC Civil Service Prelims Paper II 2021 (CSAT)
36
A person P asks one of his three friends X as to how much money he had. X replied, "If Y gives me Rs. 40, then Y will have half of as much as Z, but if Z gives me Rs. 40, then three of us will have equal amount." What is the total amount of money that X, Y and Z have?
UPSC Civil Service Prelims Paper II 2021 (CSAT)
37
In an objective type test of 90 questions, 5 marks are allotted for every correct answer and 2 marks are deducted for every wrong answer. After attempting all the 90 questions, a student got a total of 387 marks. What is the number of incorrect responses?
UPSC Civil Service Prelims Paper II 2021 (CSAT)
38

Consider the following addition problem:

3P + 4P + PP + PP = RQ2; where P, Q and R are different digits.

What is the arithmetic mean of all such possible sums?

UPSC Civil Service Prelims Paper II 2021 (CSAT)
39

Consider the following multiplication problem:

(PQ) × 3 = RQQ, where P, Q and R are different digits and R ≠ 0.

What is the value of (P + R) ÷ Q?

UPSC Civil Service Prelims Paper II 2021 (CSAT)
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