Which of the following numbers is divisible by 44?
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 54736.
If the number is divisible by 44, it should be divisible by 4 and 11 both.
Divisibility of 4: When the last two digits of the number is divisible by 4, the number is divisible by 4.
Divisibility of 11: The difference between the sum of digits at odd places and sum of the digits at even places is equal to 0 or multiple of 11, the number is divisible by 11.
According to the given options,
1. 32802
The last two digits, 02 is not divisible by 4, the number is not divisible by 4.
2. 54736
The last two digits, 36 is divisible by 4.
Now, (5 + 7 + 6) - (4 + 3)
⇒ 18 - 7 = 11
This number is also divisible by 11.
Hence the number is divisible by 44.