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# DS-sum of 3 numbers-what am i missing?

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Joined: 10 Jun 2006
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DS-sum of 3 numbers-what am i missing? [#permalink]  08 Jul 2006, 09:22
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this question is from a princeton test CD-Rom and unfortunately they don't explain the answers.

DS
10 slips of paper numbered 1-10 are placed in a bag.
if 3 slips are chosen at random and one is the number 7, what is the sum of the numbers on the 3 slips?

(1) The sum of two of the numbers is 16
(2) The sum of two of the numbers is 14

I think the answer is E. But they say the answer is B.
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Re: DS-sum of 3 numbers-what am i missing? [#permalink]  08 Jul 2006, 09:39
peachtree wrote:
this question is from a princeton test CD-Rom and unfortunately they don't explain the answers.

DS
10 slips of paper numbered 1-10 are placed in a bag.
if 3 slips are chosen at random and one is the number 7, what is the sum of the numbers on the 3 slips?

(1) The sum of two of the numbers is 16
(2) The sum of two of the numbers is 14

I think the answer is E. But they say the answer is B.

st1
A+B = 16, could potentially be (10+6)
7+A = 16, A = 9, but what is B? what is the total sum?
7+B = 16, B = 9, but what is A? what is the total sum?

st2
A+B = 14
7+A = 14, this means that A=7, but can not because numbered 1-10
7+B = 14, this means that B=7, but can not because numbered 1-10

therefore, A+B=10+4 or vise versa, either way, sum will equal to 21.

B
Re: DS-sum of 3 numbers-what am i missing?   [#permalink] 08 Jul 2006, 09:39
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