gmattesttaker2 wrote:Hello,
Can you please help with this:
If n is an integer, is n positive?
1) (2n+1)/(n+1) is an integer
2) n = -n
OA: D
Thanks,
Sri
'n is an integer' mean that n is one among {..., -3, -2, -1, 0, 1, 2, 3, ...}
we have to see whether n is one among {1, 2, 3, ...}.
S1: (2n+1)/(n+1) is an integer
(2n+1)/(n+1) = [n+(n+1)]/(n+1) = n/(n+1) + 1
"'n/(n+1) + 1' is an integer" mean that 'n/(n+1)' is an integer.
We see that if we take n as positive, the denominator is more than the numerator by 1, making n/(n+1) a fraction < 1. Thus n cannot be positive. The answer is NO. A unique answer. Sufficient.
S2: n = -n
'n = -n' mean that a number is equal to its negative; it is not possible with any number except 0. Thus, n = 0 (Non-positive). The answer is NO. A unique answer. Sufficient.
Answer:
D
-Jay
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