Question : What is the remainder when 2468 is divided by 37?

Option 1: 26

Option 2: 36

Option 3: 18

Option 4: 14

Question : A number x, when divided by 289, leaves 18 as the remainder. The same number when divided by 17 leaves y as a remainder. The value of y is:

Option 1: 5

Option 2: 2

Option 3: 7

Option 4: 1

Question : A number when divided by 78 gives the quotient 280 and the remainder 0. If the same number is divided by 65, what will be the value of the remainder?

Option 1: 1

Option 2: 3

Option 3: 0

Option 4: 2

Question : What is the remainder when $3^8$ is divided by 7?

Option 1: 5

Option 2: 4

Option 3: 6

Option 4: 2

Question : A positive integer, when divided by 425, gives a remainder of 45. When the same number is divided by 17, the remainder will be:

Option 1: 11

Option 2: 8

Option 3: 9

Option 4: 10

Question : The remainder of the term $9+9^2+\ldots+9^{(2 n+1)}$ when divided by 6 is:

Option 1: 1

Option 2: 4

Option 3: 2

Option 4: 3