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If A679 B is a 5 digit number divisible by 72, find 'A' and 'B'?

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a

3,2

b

5,2

c

2,1

d

1,2

answer is A.

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Detailed Solution

Concept- We will first determine the factors of the provided number before applying the divisibility test on the supplied five-digit number to determine the unknown digits "A" and "B."
To begin, we must divide 72 into components 9,8
Now, i) Divisibility Rule of 8 requires that the final three digits be divisible by 8 and (ii) Divisibility Rule of 9 requires that the total of digits be divisible by 9.So,

must be divisible by 8 and only

is satisfying the condition
Now, using (ii) we get,

(multiple of 9 )

only

is satisfying by hit and trial method
So,

So,

Hence, the correct Option is 1.

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