Which of the following numbers is divisible by 36?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is option 4 i.e. 55512
Given that
The number is divisible by 36
If a number is divisible by 36 then it must be divisible by 4 and 9 as well.
Divisibility test of 4 = Last two digits should be divisible by 4
Divisibility test of 9 = Sum of all digits should be divisible by 9
Calculation
Option 1 : 8840
⇒ 40/4 so it is divisible by 4
⇒ (8 + 8 + 4 + 0) = 20, is not divisible by 9
Option 2 : 1542
⇒ 42/4 so it is not divisible by 4 that's why it is not divisible by 36
Option 3 : 96272
⇒ 72/4 so it is divisible by 4
⇒ (9 + 6 + 2 + 7 +2) = 26 which is not divisible by 9
Option 4 : 55512
⇒ 12/4 = 3 so it is completely divisible by 4
⇒ (5 + 5 + 5 + 1 +2) = 18 which is completely divisible by 9
Hence, 55512 is completely divisible by 36