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 : 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 : Two numbers, when divided by a certain divisor, leave the remainder 57. When the sum of the two numbers is divided by the same divisor, the remainder is 49. The divisor is:

Option 1: 56

Option 2: 57

Option 3: 49

Option 4: 65

Question : If 7 divides the integer n, then the remainder is 2. What will be the remainder if 9n is divided by 7?

Option 1: 3

Option 2: 5

Option 3: 1

Option 4: 4

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