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List A contains x1,x2,...., x10; list B contains y1, y2,

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Senior Manager
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Joined: 05 Jun 2008
Posts: 289
List A contains x1,x2,...., x10; list B contains y1, y2, [#permalink]

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New post 20 Sep 2008, 10:47
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A
B
C
D
E

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List A contains x1,x2,...., x10; list B contains y1, y2, ...y10, where numbers in B are the remainders when the numbers in A is divided by 2, respectively. What is sum of numbers in B?
1). Sum of numbers in A is 100
2). There are 6 even numbers in B

IMO "B"....

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Manager
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Joined: 21 Aug 2008
Posts: 186
Re: DS-Sets [#permalink]

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New post 20 Sep 2008, 10:57
vivektripathi wrote:
List A contains x1,x2,...., x10; list B contains y1, y2, ...y10, where numbers in B are the remainders when the numbers in A is divided by 2, respectively. What is sum of numbers in B?
1). Sum of numbers in A is 100
2). There are 6 even numbers in B

IMO "B"....


First, let's put an assumption that the numbers are integers.

From the second stem, we can get the sum of numbers in B, which is 4 since the remainders of the 4 odd numbers are 1.
SO, it's sufficient.

Now for the 1st stem, if that is sufficient we get D for answer, if not, B for answer.

Sum of ten integers equal to 100. Let's say 9 integers are 0, and last number is 100. Then sum of B is 0.
If, 8 numbers are 0 and 2 are not, namely, 3 and 97. Then we get 2 for sum of B.
If, the remaining 2 numbers are even, then the sum of B is 0.

I think the answer is B.
VP
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Posts: 1285
Re: DS-Sets [#permalink]

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New post 21 Sep 2008, 00:19
vivektripathi wrote:
List A contains x1,x2,...., x10; list B contains y1, y2, ...y10, where numbers in B are the remainders when the numbers in A is divided by 2, respectively. What is sum of numbers in B?
1). Sum of numbers in A is 100
2). There are 6 even numbers in B

IMO "B"....

There must be some typo in the question!!!
if we say 2) states There are 6 even numbers in A then it makes sense ,since remaining 4 numbers have remainder 1 each since odd numbers have remainder 1 when div by 2
SUFFI
1) this is not suffi since 100 does not say what the individual numbers there can be diff number of even and odd to get the sum 100

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This is not a quality discussion. It has been retired.

If you would like to discuss this question please re-post it in the respective forum. Thank you!

To review the GMAT Club's Forums Posting Guidelines, please follow these links: Quantitative | Verbal Please note - we may remove posts that do not follow our posting guidelines. Thank you.

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Re: DS-Sets   [#permalink] 21 Sep 2008, 00:19
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