If pq > 4, is p > 1 ?
(1) 2 < q < 6
(2) 0 < p < 2
OA=E
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If pq > 4, is p > 1 ? (1) 2 < q < 6 (2) 0 < p
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hazelnut01
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Jay@ManhattanReview
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Hi ziyuenlau,ziyuenlau wrote:If pq > 4, is p > 1 ?
(1) 2 < q < 6
(2) 0 < p < 2
OA=E
These types of questions can be checked with a few extreme testing values.
We have pq > 4
Statement 1: 2 < q < 6
Case 1: Say q = 5/2
pq > 4 => p*(5/2) > 4 => p > 8/5 or p > 1; the answer is YES.
Case 2: Say q = 5
pq > 4 => p*(5) > 4 => p > 4/5; p may or may not be greater than 1; the answer is YES/No. No unique answer.
Statement 2: 0 < p < 2
Clearly insufficient. p may or may not be greater than 1.
Statement 1 & 2: 2 < q < 6 & 0 < p < 2
Cases discussed in statement 1 apply here too. Thus, there is no unique answer. Insufficient.
The correct answer: E
Hope this helps!
Relevant book: Manhattan Review GMAT Data Sufficiency Guide
-Jay
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hazelnut01
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Dear Jay@ManhattanReview, I could not understand statement (2). No info about q. How could we test the value?Jay@ManhattanReview wrote:Hi ziyuenlau,ziyuenlau wrote:If pq > 4, is p > 1 ?
(1) 2 < q < 6
(2) 0 < p < 2
OA=E
These types of questions can be checked with a few extreme testing values.
We have pq > 4
Statement 1: 2 < q < 6
Case 1: Say q = 5/2
pq > 4 => p*(5/2) > 4 => p > 8/5 or p > 1; the answer is YES.
Case 2: Say q = 5
pq > 4 => p*(5) > 4 => p > 4/5; p may or may not be greater than 1; the answer is YES/No. No unique answer.
Statement 2: 0 < p < 2
Clearly insufficient. p may or may not be greater than 1.
Statement 1 & 2: 2 < q < 6 & 0 < p < 2
Cases discussed in statement 1 apply here too. Thus, there is no unique answer. Insufficient.
GMAT/MBA Expert
-
Jay@ManhattanReview
- GMAT Instructor
- Posts: 3008
- Joined: Mon Aug 22, 2016 6:19 am
- Location: Grand Central / New York
- Thanked: 470 times
- Followed by:34 members
Hi ziyuenlau,ziyuenlau wrote:Dear Jay@ManhattanReview, I could not understand statement (2). No info about q. How could we test the value?Jay@ManhattanReview wrote:Hi ziyuenlau,ziyuenlau wrote:If pq > 4, is p > 1 ?
(1) 2 < q < 6
(2) 0 < p < 2
OA=E
These types of questions can be checked with a few extreme testing values.
We have pq > 4
Statement 1: 2 < q < 6
Case 1: Say q = 5/2
pq > 4 => p*(5/2) > 4 => p > 8/5 or p > 1; the answer is YES.
Case 2: Say q = 5
pq > 4 => p*(5) > 4 => p > 4/5; p may or may not be greater than 1; the answer is YES/No. No unique answer.
Statement 2: 0 < p < 2
Clearly insufficient. p may or may not be greater than 1.
Statement 1 & 2: 2 < q < 6 & 0 < p < 2
Cases discussed in statement 1 apply here too. Thus, there is no unique answer. Insufficient.
As far as statement 2 goes, we have information some about p (given that 0 < p < 2) and we need to test whether p > 1, so there is no need to bother about q.
As per 0 < p < 2, we can deduce that if 0 < p =< 1, the answer is NO; however, if 1 < p < 2, the answer is Yes. Insufficient.
Hope this is clear!
-Jay
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