The bitter principle ‘Momordicin’ is present

Find the smallest number that, when divided by 6, 8, and 12, leaves a remainder of 5 in each case.

Find the least 4-digit number which is when divided by 18, 30, and 45 leaves a remainder of 7 in each case.

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

Find the remainder when 4¹³ is divided by 5.

The least perfect square number which is divisible by 9, 12, 15, 24:

What is the largest common divisor of the numbers 1026, 2268 and 2430?

Find the smallest number divisible by 36, 48, and 60 that is greater than 2000.

Which of the following numbers is divisible by 11?

If 25⁵⁷ + 8¹⁹ is divisible by which of the following numbers.

When a number is divided by 23, the quotient obtained is 168, and the difference between the quotient and the remainder is 152. Determine the number.