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19 May 2003, 03:54
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What is the remainder when p^2 + p is divided by 2?
1) p > 2
2) p is an integer
1) p > 2
2) p is an integer
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19 May 2003, 21:56
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no, the answer is B
from statement 1......
p can be 2.5, 5.7, etc....in which case the remainder will be different....
from statement 2.....
p can be 0, 1, -1, 2, 3, -3, 10,11.......in all the cases the remainder will be zero....therefore 2 alone is sufficient........answer is B
from statement 1......
p can be 2.5, 5.7, etc....in which case the remainder will be different....
from statement 2.....
p can be 0, 1, -1, 2, 3, -3, 10,11.......in all the cases the remainder will be zero....therefore 2 alone is sufficient........answer is B
19 May 2003, 22:52
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sure it is B.
Take a look at p(p+1) -- a product of two CONSEQUTIVE numbers. One of them HAS to be EVEN. This fact is sufficient to insist that the remainder when divided by 2 is 0.
Take a look at p(p+1) -- a product of two CONSEQUTIVE numbers. One of them HAS to be EVEN. This fact is sufficient to insist that the remainder when divided by 2 is 0.
