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# The smallest 3 digit positive integer obtained by adding two positive

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Math Expert
Joined: 02 Sep 2009
Posts: 49988
The smallest 3 digit positive integer obtained by adding two positive  [#permalink]

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19 Aug 2015, 22:42
00:00

Difficulty:

25% (medium)

Question Stats:

75% (01:39) correct 25% (01:22) wrong based on 177 sessions

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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.

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

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20 Aug 2015, 00:09
1
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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Senior Manager
Joined: 28 Feb 2014
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Re: The smallest 3 digit positive integer obtained by adding two positive  [#permalink]

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20 Aug 2015, 07:35
2
10a+b+10b+a
=11a+11b
the answer must be divisive by 11.

D. 110
E. 121
But 110 is smaller

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Joined: 09 Sep 2013
Posts: 8446
Re: The smallest 3 digit positive integer obtained by adding two positive  [#permalink]

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17 Nov 2017, 19:47
Hello from the GMAT Club BumpBot!

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 &nbs [#permalink] 17 Nov 2017, 19:47
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