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If R....

by alex.gellatly » Sun Aug 26, 2012 12:22 am
If R=P/Q, is R<=P? (note: <= is the "greater than or equal to" symbol, I cannot type it)
1. P>50
2. o<Q<=20

The OA is E, but I get B. Am I missing something or...what?
Thanks
A useful website I found that has every quant OG video explanation:

https://www.beatthegmat.com/useful-websi ... tml#475231
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Source: — Data Sufficiency |
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by vk_vinayak » Sun Aug 26, 2012 12:33 am
alex.gellatly wrote:If R=P/Q, is R<=P? (note: <= is the "greater than or equal to" symbol, I cannot type it)
1. P>50
2. o<Q<=20

The OA is E, but I get B. Am I missing something or...what?
Thanks
QR=P Is R<=P? This can be answered based on value of Q.

Stmt 1. No mention of Q. INSUF
Stmt 2. 0<Q<=20.

If Q=1/2, then (1/2)R = P => R>P
If Q=1, then R=P.
If Q=2, then 2R=P => R<P. INSUF.

Combined. Still INSUF. Ans E.
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by neelgandham » Sun Aug 26, 2012 2:31 am
I will start where VK ended the story.

I) P>50
II)0<Q<=20

If R=P/Q, is R<=P?
Let the value of P be 100
If Q = 1/4 and P = 100, then R = 400. R>P
If Q = 20 and P = 100, then R = 5. R<P.
Since, we don't have ONE answer to the question, 'Is R<=P?' the correct answer choice is option E
(note: <= is the "greater than or equal to" symbol, I cannot type it)
< can be obtained by typing [The letter u]<[/the letter u] (replace 'the letter u' with u)
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by ironman2000 » Sun Aug 26, 2012 11:45 am
The OA is (E)
A little tricky one since you may ignore Q can be a decimal between (0,1). Remember Q is not necessarily an Integer. If the question mentioned that for example Q is an Integer the correct answer would be (B).

Hope it was clear.
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by GMATGuruNY » Mon Aug 27, 2012 12:07 pm
alex.gellatly wrote:If R=P/Q, is R<=P? (note: <= is the "greater than or equal to" symbol, I cannot type it)
1. P>50
2. o<Q<=20

The OA is E, but I get B. Am I missing something or...what?
Thanks
If p>0 and q>0 -- as will be the case when the two statements are combined -- we can safely do a little algebra to rephrase the question stem.
Substituting r = p/q into Is r ≤ p?, we get:
p/q ≤ p
(q/p)(p/q) ≤ (q/p)p
1 ≤ q
Is q≥1?

When the two statements are combined, it's possible that q=.5 or that q=2.
Thus, the two statements combined are INSUFFICIENT.

The correct answer is E.
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