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The six-digit number 5a432b is divisible by 72 and b is not zero. What is the value of a?

Competition practiceNumber System, HCF & LCM

A5
B4
C3
D1

Step-by-Step Solution

72 = 8 \times 9

. For 8:

32 b

divisible by 8 with

b \neq = 0

gives

b = 8

. For 9:

5 + a + 4 + 3 + 2 + 8 = 22 + a

is a multiple of 9, so

a = 5

.

Answer: A) 5

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