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Question

2728 is divisible by 2 and it is also divisible by .

A
7
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B
11
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C
3
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Solution

The correct option is B 11
Here, 2728 is divisible by 11.

Divisibility test for 11: If the difference between the sum of digits in odd places and sum of digits in even places of a number is a multiple of 11 or equal to zero, then the given number is divisible by 11.

Here, the number in even places are
7, 8 and the numbers in odd places are 2, 2.
Now, adding the number in even places and odd places internally
For even place, 7 + 8 = 15
For odd place, 2 + 2 = 4.
Now, their difference, i.e
15 - 4 = 11
343 is divisible by 11, since their difference is also divisible by 11.

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