If p and q are integers, Is pq 0?

Question

If p and q are integers, Is pq > 0?

(1) 2^p*2^q=0.5

(2) p<0

khushbooochouhan · Answer

For option A: equating the equation mean p+q=-1

Possible only when one is -ve and other one is +ve so pq<0

Option2: We dont know about q so cant say

Ans: a

Rakesh1987 · Answer

khushbooochouhan Answer is A but the reasoning is wrong. Question asks, Is pq>0?; the question is not, Is pq<0? If the question was whether pq is <0, the answer would be E and not A. since p+q=-1, there are two scenarios. scenario 1) one -ve and other +ve where pq<0 scenario 2) one -1 and the other 0, when pq=0. As in both the scenarios pq is not >0, therefore A is the answer.

sameeruce08 · Answer

if suppose p=0 q=-1

it will satisfy

but pq=0

madgmat2019 · Answer

clearly only b is insufficient so b,d rules out
now a, clearly given p,q are intergers then pq>0 cannot be possible to satisfy option a......so pq must be <0
OA:(A)

muslimahadedolapo · Answer

Hiii,

Please how did you get -1 for p+q 
according to the question it is 0.5

harshpathak96 · Answer

Bunuel Regarding statement 1: Given that 2^p*2^q=0.5, wouldn't both p=-1, q=0, and p=-2, q=1 satisfy this statement? I got answer E. Can anyone explain the reasoning? Thanks in advance

BrentGMATPrepNow · Answer

You are correct to say that the two pairs of values (p=-1 & q=0 AND p=-2 & q=1) satisfy statement 1. 
However, we need to remind ourselves about the target question:  Is pq > 0?

If p=-1 & q=0, then the answer to the target question is  NO, pq is not greater than 0 
Likewise, if p=-2 & q=1, then the answer to the target question is  NO, pq is not greater than 0 
Unless you can find a pair of values for p and q that yields a  different  answer to the target question, statement 1 is sufficient.

saynchalk · Answer

I second this doubt, how does it come to p+q = -1? How do we know what 0.5 is raised to?

If p and q are integers, Is pq > 0?

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If p and q are integers, Is pq > 0?

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