Data Sufficiency question

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mgroeber
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Topic: Data Sufficiency question

Sat Apr 14, 2007 1:12 pm

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IF P is a set of integers and 3 is in P, is every positive multiple of 3 in P?

1) For any integer in P, the sum of 3 and that integer is also in P.

2) For any integer in P, that integer minus 3 is also in P.

1 is sufficient. Please explain. I thought 2 is sufficient as well.

Thanks!

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Sat Apr 14, 2007 7:09 pm

mgroeber wrote: IF P is a set of integers and 3 is in P, is every positive multiple of 3 in P? 1) For any integer in P, the sum of 3 and that integer is also in P. 2) For any integer in P, that integer minus 3 is also in P. 1 is sufficient. Please explain. I thought 2 is sufficient as well. Thanks! positive multiple of 3 are 3,6,9,12 ....... as 3 is in P 1) is sufficient to prove that 6 is there , 6+3=9 is there etc etc ... So 1) is sufficient Now as per 2) 3 is in P so 0 should be in P , so as -3,-6,-9 ...etc It is not sufficient to prove that all positive multiples are in P (although it is sufficient to show all -ve multiples of 3 are in P) So 2) is not sufficient _________________ Always borrow money from a pessimist, he doesn't expect to be paid back.