UPSC CSAT Mathematics Questions

The following sum is 1 + 1 – 2 + 3 – 4 + 5 – 6… –20 = ?

If A × B = 24, B × C = 32, C × D = 48, then A × D

Which of the following numbers is a perfect square?

For real numbers x and y, x^2 + (y – 4)^2 = 0. Then the value of x + y is

We define a function f(N) = sum of digits of N, expressed as decimal number, e.g., f(137) = 1 + 3 + 7 = 11. Evaluate f(2^7 * 3^5 * 5^6).

Suppose n is a positive integer. Then (n^2 + n)(2n + 1) is divisible by

The sum of two numbers is equal to thrice their difference. If the smaller of the numbers is 10, find the other number.

Find the value of 1^3 + 3^3 + 5^3 + 7^3 + …… + 29^3.

If the difference of a 2-digit number and a number formed by reversing its digits is N, which one of the following numbers will completely divide N?

Find the value of 11^2 + 12^2 + 13^2 + 14^2 + … + 20^2.

The sum of both digits of a 2-digit number is 7. If the digits of the number are inter changed, the number so formed is greater than the original number by 27 f…

If the sum of a 2-digit number and a number formed by reversing its digits is 99, then what is the sum of the digits of the original number?

A 2-digit number exceeds by 19 the sum of the squares of its digits and by 44 the double product of its digits. Find the number.

A positive integer is said to be a prime number if it is not divisible by any positive integer other than itself and 1. Let p be a prime number greater than 5, …

How many digits are there in 2^17 × 3^2 × 5^14 × 7 ?

Which is the odd one out based on a divisibility test? 154, 286, 363, 474, 572, 682

While calculating the average of twenty 2-digit numbers, digits of one of the numbers got interchanged because of which the average reduced by 1.8. The differen…

2^73 – 2^72 – 2^71 is the same as

Consider the set of numbers {17^1, 17^2, …, 17^300}. How many of these numbers end with digit 3?

What is the last digit of (2017)^2017 ?