If uv

Question

If  uv<0 , is  u^{99}v^{100}<0?

(1)  u<0 
(2)  v>0

gmatophobia · Answer

uv<0 Inference : If u > 0; v < 0 If v > 0; u < 0 Question : u^{99}v^{100}<0? v^{100} is positive in this case, hence we want to find out whether u < 0 Target Question: Is u < 0 ? Statement 1 (1) u<0 This answers the question, is u < 0 - Yes! The statement is sufficient. We can eliminate B, C and E. Statement 2 (1) v>0 If 'v' is greater than zero, 'u' must be less than zero. This answers the question, is u < 0 - Yes! The statement is sufficient. Option D

If uv < 0, is u^99v^100 < 0 ? (1) u < 0 (2) v > 0

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