UPSC CSAT Mathematics Questions

In a 10-digit mobile number 999ABCDEEE, A, B, C and D are distinct prime numbers. The mobile number is never divisible by

Mean of 10 numbers is 30. Later on it was observed that numbers 15, 23 are wrongly taken as 51, 32. The correct mean is

The sum of seven numbers is 235. The average of the first three numbers is 23 and the average of the last three numbers is 42. Find the fourth number.

The average income of 40 persons is Rs. 4200 and that of another 35 persons is Rs. 4000. The average income of the whole group is

A student was asked to find the arithmetic mean of the following 12 numbers 3, 11, 7, 9, 15, 13, 8, 19, 17, 21, 14 and x. He found the mean to be 12. The value …

Total weekly emoluments of the workers of a factory is Rs. 1534. Average weekly emolument of a worker is Rs. 118. The number of workers in the factory is

A man purchased 5 cows at Rs. 1500 each, 6 cows at Rs. 2000 each, and 9 cows at Rs. 2500 each. Find the average cost of cows.

In a direct election between two candidates, 20% of the voters did not cast their votes and 120 votes were declared to be invalid. If the winner got 41% of the …

Find the sum of first fifty natural numbers.

What is the last digit of 7^73?

How many non-negative integers less than 10,000 are there such that the sum of the digits of the number is divisible by three?

Which of the following values is same as 2^2^2^2 ?

What is the value of 1² – 2² + 3² – 4² + 5² – … + 17² – 18² + 19² ?

(25 ÷ 5 + 3 – 2 × 4) + (16 × 4 – 3) = ?

Which one of the following is a prime number?

Find the sum of the squares of the first 30 natural numbers.

Binomial theorem in algebra gives (1 + x)^n = a0 + a1x + a2x^2 + …… + anx^n; where a0, a1, ……, an are constants depending on n. What is the sum of a0 + a1 + a2 …

If a + b + c + d + e = 10 (all positive numbers), then the maximum value of a × b × c × d × e is

If N, E and T are distinct positive integers such that N × E × T = 2013, then which of the following is the maximum possible sum of N, E and T?

How many 9-digit positive integers are there, the sum of squares of whose digits is 2?