Which of the following numbers is divisible by 44?

Correct option is D

Concept Used:

A number is divisible by 44 if it is divisible by both 4 and 11.

A number is divisible by 4 if the last two digits of the number are divisible by 4.

A number is divisible by 11 if the difference between the sum of its digits in odd positions and the sum of its digits in even positions is divisible by 11.

Solution:

(a) 3379:

It is not divisible by 4

Thus, 3379 is not divisible by 44.

(b) 2967:

It is not divisible by 4

Thus, 2967 is not divisible by 44.

(c) 3550:

It is not divisible by 4

Thus, 3550 is not divisible by 44.

(d) 3344:

It is divisible by 4

The sum of the digits in odd positions is 3 + 4 = 7, and the sum of the digits in even positions is 3 + 4 = 7. The difference is 7 - 7 = 0, which is divisible by 11.

Thus, 3344 is divisible by both 4 and 11, and therefore divisible by 44.

The correct answer is (d) 3344.