Question

If 8A5146B is divisible by 88, then what is the value of A x B?

Answer 1

Answer:

Since, the given number is divisible by 8, the last three digits should also be divisible by 8. Only when B = 4, 46B is a multiple of 8. Thus, B = 4.

As the given number is divisible by 11, the difference between the sum of its odd digits and even digits must be a multiple of 11.

Thus, (8 + 5 + 4 + 4) – (A + 1 + 6) = 14 – A should be divisible by 11. Only when A = 3, 14-A is divisible by 11.

Thus, the value of AxB = 4×3 = 12.

Answer 2

Answer:

Since, the given number is divisible by 8, the last three digits should also be divisible by 8. Only when B = 4, 46B is a multiple of 8. Thus, B = 4.

As the given number is divisible by 11, the difference between the sum of its odd digits and even digits must be a multiple of 11.

Thus, (8 + 5 + 4 + 4) – (A + 1 + 6) = 14 – A should be divisible by 11. Only when A = 3, 14-A is divisible by 11.

Thus, the value of AxB = 4×3 = 12.