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Another DS from Princeton

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Another DS from Princeton [#permalink] New post 13 Jan 2007, 02:49
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A
B
C
D
E

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I don't get it at all. Do both terms mean that 14 and 16 are sums of another 2 numbers except 7, or they are the sums of any 2 of 3 numbers (including 7).

Anyway, I don't get why B is sufficient and A is not. Please explain this DS in details if possible. Thanks
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 [#permalink] New post 13 Jan 2007, 05:32
Ten Slips of paper with numbers 1 to 10.

three are drawn randomly , 7, x, y


(a) sum 0f two numbers is 16
so the posiibility is
7,9,y ..... where y can be any number from 1 to 10 other then 7 and 9
or
7,x, y where x + y = 16 ( = 7,10,6 )

insufficient

(b) sum of two numbers is 14

if one number is 7 then to sum up 14 other number should be 14 - 7 =7
i.e.
7,7, y .... its not possible as all the slips has different number

so in ( 7,x,y) x+y = 14
and sum of three numbers = 7+x+y = 21

sufficient
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 [#permalink] New post 13 Jan 2007, 06:10
I don't get why A is insufficient. If 16 is the sum of another 2 numbers (except 7), the only possibility is 6+10, right? So, the sum is 23.

Or we should assume that both sums (16 and 14) may include and may not include 7?

Last edited by AdrianG on 13 Jan 2007, 08:37, edited 1 time in total.
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 [#permalink] New post 13 Jan 2007, 06:46
AdrianG wrote:
I don't get why A is insufficient. If 16 is the sum of another 2 numbers (except 7), the only possibility is 6+10, right? So, the sum is 23.

Or we should assume that both sums (16 and 14) may include and not include 7?


The thing is, in (1) 16 is not the sum of two other numbers. The stem only says "the sum of two of the numbers is 16". The slip numbered 7 could or could not be included in that pair, thus (1) is insuff.

It´s B.
  [#permalink] 13 Jan 2007, 06:46
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