Question

Check whether 44444 is divisible by 44 or not.
1. Yes
2. No
3. Cannot be determined
4. None of the above

Answer 1

Correct Answer - Option 2 : No

Concept used:

If last two digits of a number is divisible by 4, then that number is divisible by 4.

If difference between sum of odd placed digits and even placed digits is 0 or divisible by 11, then that number is divisible by 11.

Calculation:

We can write 44 as 11 × 4

Now we will check divisibility of 44444 by both 4 and 11.

If 44444 is divisible by 4 and 11 both then 44444 is divisible by 44.

Last two digit of 44444 is 44, which is divisible by 4

So, 44444 is divisible by 4.

Here sum of odd placed digits = 4 + 4 + 4

⇒ 12

And, Sum of even placed digits = 4 + 4

⇒ 8

Difference between them = 12 - 8

⇒ 4

Since 4 is not divisible by 11

So, 44444 is not divisible by 11

∴ 44444 is not divisible by 44.