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If ab=1, what is the value of (axb) (ayb) ?

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If ab=1, what is the value of (axb) (ayb) ? [#permalink] New post 31 Dec 2010, 19:58
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If ab=1, what is the value of (axb) (ayb) ?

(1) ax=by=2
(2) 2xy=4

Source is manhattan review math sheet.
[Reveal] Spoiler: OA
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Re: don't know how to crack [#permalink] New post 01 Jan 2011, 01:35
naaga wrote:
If ab=1, what is the value of (axb) (ayb) ?
1. ax=by=2
2. 2xy=4

source is manhattan review math sheet.

any one please explain the answer, thanks in advance..


\(axb)(ayb)=(ab)(xa)(yb)=1*2*2=4
2/2xy=4 so xy=1
so (axb)(ayb)=(ab)(ab)(xy) there you go
D
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Re: don't know how to crack [#permalink] New post 01 Jan 2011, 02:42
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naaga wrote:
If ab=1, what is the value of (axb) (ayb) ?
1. ax=by=2
2. 2xy=4

source is manhattan review math sheet.

any one please explain the answer, thanks in advance..


Given: ab=1. Question: (axb)*(ayb)=?

(1) ax=by=2, so ax=2 and by=2 --> (axb)*(ayb)=(ax)*(by)*(ab)=2*2*1=4. Sufficient.
(2) 2xy=4, so xy=2 --> (axb)*(ayb)=(ab)*(ab)*(xy)=1*1*2=2. Sufficient.

Now, technically answer should be D, as EACH statement ALONE is sufficient to answer the question.

But even though formal answer to the question is D (EACH statement ALONE is sufficient), this is not a realistic GMAT question, as: on the GMAT, two data sufficiency statements always provide TRUE information and these statements never contradict each other.

So we can not have answer 4 from statement (1) and answer 2 from statement (2), as in this case statements would contradict each other.

I guess statement (2) should read xy=4 instead of 2xy=4, in this case answer will be D and the statements won't contradict each other.

Hope it's clear.
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Re: don't know how to crack   [#permalink] 01 Jan 2011, 02:42
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