Question : Find the least number divisible by 2, 3, 5, 6, 9, and 18 which is a perfect square.

Option 1: 900

Option 2: 400

Option 3: 144

Option 4: 3600

Question : The least number that should be subtracted from 63520 to make the result a perfect square is:

Option 1: 30

Option 2: 24

Option 3: 14

Option 4: 16

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 : Let $x$ be the least number which, when divided by 5, 6, 7, and 8, leaves a remainder of 3 in each case, but when divided by 9, leaves no remainder. The sum of the digits of $x$ is:

Option 1: 21

Option 2: 22

Option 3: 18

Option 4: 24

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