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Consider the number N = 8 7 a 2 7 9 3 1 ...

Consider the number `N = 8 7 a 2 7 9 3 1 b` , where a , b are single digit whole numbers.
Number of possible ordred pairs (a, b) for which N is divisible by 72 is

A

0

B

1

C

2

D

3

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The correct Answer is:
B
Number of possible ………….
N is divisible by 72 if it is divisible by 8 and 9 both
N is divisible by 8 if b = 2
N is divisible by 9 if `8+7+a+2+7+9+3+1+b`
`= a+b = 37 = a+39` is divisible by 9
`:. A = 6`
`:.` possible pairs `(a,b) = (6,2)`
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