Question : Find the greatest number that will divide 49, 147, and 322 to leave the same remainder in each case.

Option 1: 9

Option 2: 5

Option 3: 7

Option 4: 8

Question : Find the remainder when we divide $3x^4-2x^2+4x-1$ by $(2x-1)$.

Option 1: $2$

Option 2: $3$

Option 3: $\frac{11}{16}$

Option 4: $\frac{15}{16}$

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

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 : Find the greatest number which will exactly divide 200 and 320.

Option 1: 10

Option 2: 20

Option 3: 16

Option 4: 40