If n and k are integers and (-2) n ^ 5 > 0, is k ^ 37 < 0?
(1) (n k) ^ z > 0, where z is an integer that is not divisible by two
(2) k < n
is k ^ 37 < 0?
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(-2) n ^ 5 > 0
Is possible only when n is –ve --- #A
1) (nk)^z>0
z is an integer not that is not divisible by two. Means, z is odd. Z can’t be 0 because 0/2 = 0 - divisible.
Hence, k has to negative.
-ve ^ 37 = -ve <0.
Sufficient.
2) K<n < 0 - From #A
IMO D.
Is possible only when n is –ve --- #A
1) (nk)^z>0
z is an integer not that is not divisible by two. Means, z is odd. Z can’t be 0 because 0/2 = 0 - divisible.
Hence, k has to negative.
-ve ^ 37 = -ve <0.
Sufficient.
2) K<n < 0 - From #A
IMO D.
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