chetan2u wrote:
Bunuel wrote:
Is |qp + q^2| > qp?
(1) q > 0
(2) q/p > 1
Hi,
On the first look itself, the equation will hold true for every value except when left side is 0.
And the left side will be 0, only when q is 0..
So is |qp+q^2|>qp actually MEANS
is q NOT EQUAL to 0Let's see the statements..
1) q>0..
Ans is YES, q is not equal to 0..
Suff
2) q/P>1..
Again ans is YES..
If q was 0, q/P=0..
Suff
D
Hi
chetan2u,
I think the approach that
gmatexam439 used (above in the chain) is correct and necessary. I am saying this by the following general understanding in modulus that:
If |x|>a,
then either x>a, if x>0
or x<-a, if x<0
Now, the question is, is |qp + q^2| > qp?
This transcends into asking:
QI: Is qp + q^2 > qp, if (qp + q) >0?
OR
QII: Is qp + q^2 < -qp, if (qp + q) <0?
However, as my logic goes, if the stmt1 or stmt2 manages to answer
"either of the 2 questions", then we are done. This is essentially because, there is a
"OR" between the subordinate questions Q1 and Q2.
Here, both statements easily answer QI. So, we need not proceed to QII, which I agree complicates the question and hence the answer choice is D.
But, if the main question would have been in the format:
Is |x|<a?, which would mean asking:
Is x<a ? if x>0
AND
Is x>-a ? if x<0
In such a case, I think we will have to consider both statements equally and make sure that we are able to arrive at an answer for both the subordinate questions using the 2 statements provided with that question.
Please let me know if my analysis is correct.