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The smallest 3 digit positive integer obtained by adding two positive

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The smallest 3 digit positive integer obtained by adding two positive [#permalink]

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New post 19 Aug 2015, 21:42
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The smallest 3 digit positive integer obtained by adding two positive two digit numbers, one of which has the units and tens places interchanged as the other is _____

A. 100
B. 101
C. 105
D. 110
E. 121

Kudos for a correct solution.
[Reveal] Spoiler: OA

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Re: The smallest 3 digit positive integer obtained by adding two positive [#permalink]

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New post 19 Aug 2015, 23:09
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Bunuel wrote:
The smallest 3 digit positive integer obtained by adding two positive two digit numbers, one of which has the units and tens places interchanged as the other is _____

A. 100
B. 101
C. 105
D. 110
E. 121


Ans: D

Solution: as those numbers has digit interchanged and added to get the three digit number means the sum is: = 11(a+b)
so the final number must be multiple of 11. we are looking for smallest three digit number multiple of 11= 110 Ans
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Re: The smallest 3 digit positive integer obtained by adding two positive [#permalink]

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New post 20 Aug 2015, 06:35
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10a+b+10b+a
=11a+11b
the answer must be divisive by 11.

2 answers work
D. 110
E. 121
But 110 is smaller

Answer: D

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Re: The smallest 3 digit positive integer obtained by adding two positive [#permalink]

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New post 17 Nov 2017, 18:47
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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: The smallest 3 digit positive integer obtained by adding two positive   [#permalink] 17 Nov 2017, 18:47
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