Which of the following pairs of phenomena illustrate the

Find the greatest number 23a68b, which is divisible by 3 but NOT divisible by 9.

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

If the number 1005x4 is completely divisible by 8, then the smallest integer in place of x will be:

Find the remainder when 4¹³ is divided by 5.

Find the remainder obtained by dividing 961¹²⁵ by 37.

If 65x is a three-digit number and it is divisible by 6, what can be the value of the digit x?

When a number is divided by 16, the quotient is 175, and the difference between the quotient and the remainder is 161. Find the number.

When a number is divided by 119, the remainder remains 15. When the same number is divided by 17, what will be the remainder?

Find the greatest number that will divide 49, 147 and 322 to leave the same remainder in each case.

If '5731x7' is a six-digit number which is divisible by 33, then calculate the value of 'x'.