Correct Answer - Option 3 : 6
Given:
The number 2A01B is divisible by 72.
Concept:
Divisibility rule of 9 = If a number is divisible by 9, the sum of the digits of the number is also divisible by 9.
Divisibility rule of 8 = If the last three digits of a number are divisible by 8, then the number is also divisible by 8.
Calculation:
The last three digits are 01B.
To be divided by 8,
B = 6
To be divided by 9,
The sum of the digits of the number = (2 + A + 0 + 1 + 6)
⇒ The sum of the digits of the number = (9 + A)
The nearest number divisible by 9 is 9 itself.
9 + A = 9
⇒ A = 9 - 9
⇒ A = 0
The sum of the digits = 6 + 0
⇒ The sum of the digits = 6.
∴ The value of (A + B) is 6.
