Question : By which natural number should 5000 be divided so that it becomes a perfect square?

Option 1: 2

Option 2: 5

Option 3: 8

Option 4: 7

Question : If a perfect square, not divisible by 6, is divided by 6, the remainder will be:

Option 1: 1, 3 or 5

Option 2: 1, 2 or 5

Option 3: 1, 3 or 4

Option 4: 1, 2 or 4

Question : 7 is added to a certain number and the sum is multiplied by 5. The product is then divided by 3 and 4 is subtracted from the quotient. If the result comes to 16, then what is the original number?

Option 1: 3

Option 2: 1

Option 3: 5

Option 4: 4

Question : A number $n$ when divided by 6, leaves a remainder of 3. What will be the remainder when $\left(n^2+5 n+8\right)$ is divided by 6?

Option 1: 1

Option 2: 3

Option 3: 5

Option 4: 2

Question : When a number is divided by 45, the remainder is 21. What will be the remainder when the number is divided by 15?

Option 1: 6

Option 2: 5

Option 3: 3

Option 4: 0