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Is the 2-digit number ab divisible by 10?
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chetan2u
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Is the 2-digit number ab divisible by 10? [#permalink] New post  11 Feb 2021, 21:36
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Is the 2-digit number ab divisible by 10?
(1) a+b=10
(2) a=b
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TestPrepUnlimited
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Re: Is the 2-digit number ab divisible by 10? [#permalink] New post  12 Feb 2021, 10:16
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chetan2u wrote:
Is the 2-digit number ab divisible by 10?
(1) a+b=10
(2) a=b


In order to have a number be divisible by 10, it needs to have a unit digit of 0.

Statement 1:

If any of the digits is 0, the other would be 10. So we cannot have any unit digit of 0. Then ab is not a multiple of 10, sufficient.

Statement 2:

Since ab is a two-digit number, we can only pick a from 1 to 9 and the unit digit cannot be 0, sufficient. However, we do know ab is a multiple of 11.

Ans: D
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