Basic Arithmetic · Basic Numeracy · UPSC Civil Service

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 increase...

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...

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

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

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 ...

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?

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

Consider the following :Weight of 6 boys = Weight of 7 girls = Weight of 3 men = Weight of 4 womenIf the average weight of the women is 63 kg, then wh...

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

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?

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

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

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 p...

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?

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

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 compou...

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. St...

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 coin...

What is the remainder if 2192 is divided by 6?

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. Furthe...

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 no...

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, ho...

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 increa...

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?

How many seconds in total are there in x weeks, x days, x hours, x minutes and x seconds?

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 an...

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?

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) opt...

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 o...

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 ...

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 : ...

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...

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?

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%?

P scored 40 marks more than Q in the examination. If Q scores 10% less marks than P, then how much did Q score?

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 i...

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 attemp...

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 pos...

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 + ...