1.

Which of the following numbers is divisible by 44?1. 868342. 829183. 863284. 86208

Answer» Correct Answer - Option 3 : 86328

Concept

For a number to be divisible by 44, it should be divisible by 4 and 11.

Divisibility by 4 : Last two digits of given number should be divisible by 4

Divisibility by 11 : The sum of the digits at even place is subtracted from the sum of the digits at odd places. If the result is either 0 or divisible by 11, then the original number is divisible by 11

Calculation

Checking divisibility by 4 :

Last two digits of all options are

34, 18, 28 and 08

From the given options, only option 3 and 4 are divisible by 4 since their last two digits are divisible by 4 

Now, checking option 3 and 4 for divisibility by 11 :

3) 86328

(8 + 3 + 8) - (6 + 2) = 19 - 8

⇒ 11, which is divisible by 11

So, option 3 is divisible by 11

4) 86208

(8 + 2 + 8) - (6 + 0) = 12, which is not divisible by 11

Since option 3 is divisible by both 4 and 11, therefore it is divisible by 44.



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