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If the eight-digit number 43377p08 is divisible by 8, then the maximum value of p is:
Question

If the eight-digit number 43377p08 is divisible by 8, then the maximum value of p is:

A.

6

B.

7

C.

8

D.

4

Correct option is C

Given:

Eight-digit number: 43377p08

It must be divisible by 8.

Concept Used:

A number is divisible by 8 if its last three digits form a number divisible by 8.

Solution:

Check divisibility:

Number formed by last 3 digits = p08

Try values of p from 9 to 0:

908÷8 = 113.5 ( not divisible) 

808 ÷ 8 = 101 (divisible)

Thus, p = 8 is the maximum valid value

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