Question : Any six-digit number that is formed by repeating a three-digit number, is always divisible by:

Option 1: 111

Option 2: 1001

Option 3: 19

Option 4: 101

Question : If the four-digit number 463y is divisible by 7, then what is the value of y?

Option 1: 4

Option 2: 6

Option 3: 3

Option 4: 5

Question : If a 7-digit number 54p3987 is divisible by 11, then p is equal to:

Option 1: 5

Option 2: 9

Option 3: 4

Option 4: 1

Question : The tens digit of a two-digit number is larger than the unit digit by 7. If we subtract 63 from the number, the new number obtained is a number formed by the interchange of the digits. Find the number.

Option 1: 81

Option 2: 18

Option 3: 62

Option 4: 26

Question : If the 7-digit number 678p37q is divisible by 75 and p is not a composite, then the values of p and q are:

Option 1: p = 5, q = 5

Option 2: p = 3, q = 0

Option 3: p = 3, q = 5

Option 4: p = 2, q = 5