UPSC CSAT Mathematics Questions

A flag has to be designed with 4 horizontal stripes using some or all of the colours red, green and yellow. What is the number of different ways in which this c…

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

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

In an examination, the maximum marks for each of the four papers namely P, Q, R and S are 100. Marks scored by the students are in integers. A student can score…

A, B, C working independently can do a piece of work in 8, 16 and 12 days respectively. A alone works on Monday, B alone works on Tuesday, C alone works on Wedn…

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 annua…

A vessel contains 24 litres of milk. 4 litres are withdrawn and replaced by water. The process is repeated a second time. Find the ratio of milk to water in the…

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

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

There are three traffic signals. Each signal changes colour from green to red and then from red to green. The first signal takes 25 seconds, the second signal t…

A person X has a certain amount of money. He gives half of it to his wife and half of the remaining to his son. He gives 60% of the remaining to his daughter an…

The digits 1 to 9 are arranged in three rows in such a way that each row contains three digits, and the number formed in the second row is twice the number form…

Consider the following statements : 1. Between 3:16 p.m. and 3:17 p.m., both hour hand and minute hand coincide. 2. Between 4:58 p.m. and 4:59 p.m., Both minute…

Which date of June 2099 among the following is Sunday?

What is the value of X in the sequence 2, 12, 36, 80, 150, X?

What is the value of X in the sequence 20, 10, 10, 15, 30, 75, X?

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?

When 70% of a number x is added to another number y, the sum becomes 165% of the value of y. When 60% of the number x is added to another number z, then the sum…

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…

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 …