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Question

If 5B12 is divisible by 11, then find the value of B.

A

5

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B

4

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C

6

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D

11

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Solution

The correct option is B

4


A number is divisible by 11 , if the difference between the sum of its digits in even places and the sum of its digits in odd places is either 0 or divisible by 11.

The given number is 5B12 .
We have sum of the digits in the even places = 2 + B

Sum of the digits in the odd places = 1 + 5 = 6

Difference between the sum of the digits in the odd places and the sum of the digit in the even places

B + 2 - 6 = B - 4

For the number to be divisible by 11:
B - 4 = 0/11/22/33.............

B = 4, 15,26................

Here B can be a single digit number.

B = 4 and the number is 5412


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