Question : A number when divided by 44 gives 432 as quotient and 0 as remainder. What will be the remainder when dividing the same number by 31?

Option 1: 3

Option 2: 4

Option 3: 5

Option 4: 6

Question : When a certain number is divided by 65, the remainder is 56. When the same number is divided by 13, the remainder is $x$. What is the value of $\sqrt{5x-2}$?

Option 1: $2 \sqrt{7}$

Option 2: $\sqrt{13}$

Option 3: $2 \sqrt{2}$

Option 4: $3 \sqrt{2}$

Question : When a number is successively divided by 3, 4, and 7, the remainder obtained is 2, 3, and 5 respectively. What will be the remainder when 42 divides the same number?

Option 1: 41

Option 2: 30

Option 3: 29

Option 4: 31

Question : When a number is successively divided by 3, 4 and 7, the remainder obtained are 2, 3 and 5, respectively. What will be the remainder when 84 divides the same number?

Option 1: 71

Option 2: 30

Option 3: 48

Option 4: 53

Question : The least number, which when divided by 5, 6, 7 and 8 leaves a remainder of 3, but when divided by 9, leaves no remainder, is:

Option 1: 1677

Option 2: 1683

Option 3: 2523

Option 4: 3363