Remainder & Div...

Let n! = 1 x 2 x 3 x……….x n for integer n ≥ 1. If p = 1! + (2 x 2!) + (3 x 3!) + ……(10 x 10!), then p + 2 when divided by 11! Leaves remainder of

The remainder, when (15²³ + 23²³) is divided by 19, is:

What is the sum of all two-digit numbers that give a remainder of 3 when they are divided by 7?

After the division of a number successively by 3, 4 and 7, the remainders obtained are 2,1 and 4 respectively. What will be the remainder if 84 divides the same number?

Let N = 55³ + 17³ – 72³. N is divisible by:

What will be the unit digit of 13⁴¹ ?

What will be the unit digit when 45⁴⁵

What will be the last digit of 3⁴ x 4⁵ x 5⁶

Identify the last digit of (79⁴ + 87⁵)

What will be the last digit of 43⁵⁶ x 5⁶⁷ x 45³⁴