If the number 59a44b is divisible by 36, then the maximum value of a + b is:
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e 14
There is no separate test for checking the divisibility of 36 but we can check this with its factor i.e. 9.
For divisibility of 9, the digital sum of numbers should be divisible by 9.
Digital sum = 5 + 9 + a + 4 + 4 + b = multiple of 9
⇒ 22 + a + b = 27 /36
a + b would be maximum when sum would be maximum
⇒ a + b = 36 - 22 = 14