Divisibility Quiz – 1

It is being given that \left ( 2^{32}+1\right ) is completely divisible by a whole number. Which of the following numbers is completely divisible by this number?

What least number must be added to 1056, so that the sum is completely divisible by 23 ?

How many of the following numbers are divisible by 132?
264, 396, 462, 792, 968, 2178, 5184, 6336

The largest 4 digit number exactly divisible by 88 is:

A number when divided successively by 4 and 5 leaves remainders 1 and 4 respectively. When it is successively divided by 5 and 4, then the respective remainders will be

The difference of the squares of two consecutive even integers is divisible by which of the following integers?

Which one of the following numbers is completely divisible by 99?

Ashish had a collection of glass marbles with him. The sum of the digits of a number of the marbles was 23. The remainder when the number of marbles is divided by 11 is 7. What is the remainder when number of marbles is divided by 33?

N^{2} leaves a remainder of 1 when divided by 24. What are the possible remainders we can get if we divide N by 12?

A prime number p greater than 100 leaves a remainder q on division by 28. How many values can q take?