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If the number 36x60 is exactly divisible by 72, then the minimum value of x is:
1. 4
2. 5
3. 3
4. 2

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Correct Answer - Option 3 : 3

Given:

The number 36x60 should be divisible by 72.

Concept Used:

A number is divisible by 9 if the sum of digits of a number is divisible by 9

A number is divisible by 8 if the last three digits of the number are divisible by 8

Calculation:

The given number is 36x60

⇒ 72 = 9 × 8

Where, 9 and 8 are co-prime

The minimum value of x for which x60 is divisible by 8 is, x = 3

Sum of digits in 36360 = (3 + 6 + 3 + 6 + 0)

⇒ 18

Then, 18 is divisible by 9

∴ The value of x is 3.

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