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.