Question : Let $x$ be the greatest number which when divided by 955, 1027, and 1075, the remainder in each case is the same. Which of the following is NOT a factor of $x$?

Option 1: 4

Option 2: 16

Option 3: 8

Option 4: 6

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 : A number, when divided by 6, leaves a remainder of 3. When the square of the same number is divided by 6, the remainder is:

Option 1: 0

Option 2: 2

Option 3: 1

Option 4: 3

Question : When n is divided by 4, the remainder is 3. The remainder when 2n is divided by 4 is:

Option 1: 1

Option 2: 2

Option 3: 3

Option 4: 6

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 : On dividing a certain number by 363, we get 17 as the remainder. What will be the remainder when the same number is divided by 11?

Option 1: 7

Option 2: 8

Option 3: 6

Option 4: 9