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Is pq > 0? (1) (2q)^p = 1 (2) p < 0

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Intern
Intern
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B
Joined: 01 Dec 2017
Posts: 14
Location: India
GMAT 1: 520 Q42 V22
GMAT 2: 490 Q47 V13
GPA: 2.4
Is pq > 0? (1) (2q)^p = 1 (2) p < 0  [#permalink]

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New post 24 Dec 2018, 10:54
00:00
A
B
C
D
E

Difficulty:

  85% (hard)

Question Stats:

28% (01:58) correct 72% (01:45) wrong based on 18 sessions

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Is pq > 0?

(1) (2q)^p = 1

(2) p < 0
VP
VP
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G
Joined: 09 Mar 2018
Posts: 1002
Location: India
Re: Is pq > 0? (1) (2q)^p = 1 (2) p < 0  [#permalink]

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New post 24 Dec 2018, 11:25
1
kiran1213 wrote:
Is pq > 0?

(1) (2q)^p = 1

(2) p < 0


Here are my 2 cents on this question.

Statement 1:
Case 1 : q = 1/2 and p =1, this makes the statement true. The question is also answered as a Yes.

Case 2 : q = 1/2 and p= -1, this makes the statement true

as first the parenthesis will be solved, answering the question as a No.

Making A not sufficient to answer the question

Statement 2: says nothing about q, can be -ive or +ive

Not sufficient.

Combine both the statements, p = -1 and q = 1/2, both the statements will be true, answering the question as a Yes

but when you take p = -2 and q = 1/2 or q = -(1/2), both the statements will still be true, but the answer will be a No

Making the correct answer as
E.

_________________
If you notice any discrepancy in my reasoning, please let me know. Lets improve together.

Quote which i can relate to.
Many of life's failures happen with people who do not realize how close they were to success when they gave up.
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Re: Is pq > 0? (1) (2q)^p = 1 (2) p < 0   [#permalink] 24 Dec 2018, 11:25
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