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Question


If 21y5 is a multiple of 9, where y is a digit, which of the numbers can take the possible value of y?



A

1

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B

5

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C

7

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D

8

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Solution

The correct option is A

1


Since 21y5 is a multiple of 9.

Therefore according to the divisibility rule of 9, the sum of all the digits should be a multiple of 9.

2+1+y+5=8+y

8+y=9y=1

This is possible when 8+y is any one of these numbers 0, 9, 18, 27, and so on …….

However, since y is a single digit number, this sum can be 9 only.

Therefore, y = 1


Mathematics

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