Question

A 6 "-digit" number,pq5616 is the cube of a 2-digit number, . Find the values of ,p and q

Answer 1

Step-by-step explanation:

The given number 93p25q must be divisible by 8 at the same time by 11 also.

A number is divisible by 8 if and only if the last three digits is divisible by 8.

The last three digits of the given number is 25q so if we have 6 in place of q then it becomes divisible by 8.

Also, a number is divisible by 11 if the alternating sum as depicted is divisible by 11.

9−3+p−2+5−6=p+3=11

⟹p=8

It is basically a sign changing sum.

Your required number is:

938256