What will be the number of permutations of n different

What will be the remainder when 7⁴² is divided by 48?

. Which of the following numbers is divisible by 24?

Find the remainder when 27²² is divided by 729.

What are the last two digits of 56²⁸³ x 141²⁸³ × 125²⁵⁴?

If the 6-digit number 589y72 is completely divisible by 8, then the smallest integer in place of y will be:

A number n when divided by 6, leaves a remainder 3. What will be the remainder when (n² + 5n + 8) is divided by 6?

A six-digit number 23p7q6 is divisible by 24. Then the greatest possible value for (p + q) is:

What is the least number which when divided by 15, 18 and 36 leaves the same remainder 9 in each case and is divisible by 11?

Which of the following pairs of non-zero values of p and q make 6-digit number 674pq0 divisible by both 3 and 11?

What is the value of (2² + 3²) × (4³ + 5³) ÷ (6⁴)?