UPSC CSAT Mathematics Questions

Two numbers X and Y are respectively 20% and 28% less than a third number Z. By what percentage is the number Y less than the number X?

Half of the villagers of a certain village have their own houses. One-fifth of the villagers cultivate paddy. One-third of the villagers are literate. Four-fift…

A person travelled a distance of 50 km in 8 hours. He covered a part of the distance on foot at the rate of 4 km per hour and a part on a bicycle at the rate of…

Each person's performance compared with all other persons is to be done to rank them subjectively. How many comparisons are needed in total, if there are 11 per…

How many numbers from 0 to 999 are not divisible by either 5 or 7?

A question paper had ten questions. Each question could only be answered as True (T) or False (F). Each candidate answered all the questions. Yet, no two candid…

A person X has four notes of Rupee 1, 2, 5 and 10 denomination. The number of different sums of money she can form from them is

In a tournament 14 teams play league matches. If each team plays against every other team once only then how many matches are played ?

Running at a speed of 60 km per hour, a train passed through a 1.5 km long tunnel in two minutes. What is the length of the train?

Two trains leave New Delhi at the same time. One travels north at 60 kmph and the other travels south at 40 kmph. After how many hours will the trains be 150 km…

If the given interchanges namely : signs + and ÷ and numbers 2 and 4 are made in signs and numbers, which one of the following four equations would be correct?

4^0 + 4^2 + 4^-2 + 4^1/2 + 4^-1/2 = ?

Find the value of 1^2 + 3^2 + 5^2 + 7^2 + …… + 19^2.

If (2a/b) = (c/6) = (8/d) and (b/c) = 6, where a, b, c and d are digits. Then a + b = ?

The probability that a teacher will give one Surprise Test during any class meeting in a week is 1/5. If a student is absent for 2 days, what is the probability…

The probability that a teacher will give one Surprise Test during any class meeting in a week is 1/5. If a student is absent for 2 days, what is the probability…

If × means +, ÷ means –, – means × and + means ÷, then 8 × 7 – 8 + 40 ÷ 2 = ?

n is a natural number. If n^5 is odd, which of the following is true? A. n is odd B. n^3 is odd C. n^4 is even

Observe the following sequence of numbers: 3 4 5 2 3 4 1 2 3 14 29 ?

Find the value of 1^2 + 3^2 + 5^2 + 7^2 + …… + 19^2.