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# Is ab > 11? (1) a < 6 and b < 2 (2) a/b > 0

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Math Expert
Joined: 02 Sep 2009
Posts: 50585
Is ab > 11? (1) a < 6 and b < 2 (2) a/b > 0  [#permalink]

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10 Dec 2017, 00:08
00:00

Difficulty:

25% (medium)

Question Stats:

83% (00:58) correct 17% (01:12) wrong based on 34 sessions

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Is ab > 11?

(1) a < 6 and b < 2
(2) a/b > 0

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Joined: 25 Feb 2013
Posts: 1217
Location: India
GPA: 3.82
Is ab > 11? (1) a < 6 and b < 2 (2) a/b > 0  [#permalink]

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10 Dec 2017, 02:26
Bunuel wrote:
Is ab > 11?

(1) a < 6 and b < 2
(2) a/b > 0

Statement 1: if $$a=5$$ & $$b=0$$, then $$ab=0$$, so we have a No for our question Stem

if $$a=-6$$ & $$b=-2$$, then $$ab=12$$, so we have a Yes for our question Stem. Insufficient

Statement 2: implies that $$a$$ & $$b$$ are of same sign. But we don't know the values of $$a$$ & $$b$$. Hence Insufficient

Combining 1 & 2 we know that if $$a=-6$$ & $$b=-2$$, then $$ab>11$$ & we have a Yes but if $$a=2$$ and $$b=1$$ then $$ab<11$$ & we have a NO. Hence Insufficient

Option E
Is ab > 11? (1) a < 6 and b < 2 (2) a/b > 0 &nbs [#permalink] 10 Dec 2017, 02:26
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