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The numbers p and q are both positive integers.
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09 Dec 2018, 12:59
09 Dec 2018, 12:59
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The numbers p and q are both positive integers.
A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
_________________
Quantity A |
Quantity B |
\(\frac{p}{q}\) |
\((\frac{p}{q})^2\) |
A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
_________________
Re: The numbers p and q are both positive integers.
[#permalink]
09 Dec 2018, 23:19
09 Dec 2018, 23:19
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Bookmarks
Qty A = \(\frac{p}{q}\)
Qty B = \(\frac{p}{q} * \frac{p}{q}\)
Both P and Q are positive integers therefore both quantities are also +ve
Cancel p/q from both sides we have
\(Qty A = 1\)
\(Qty B = \frac{p}{q}\)
We do not know the value of p and q to determine what exactly is p/q
If \(p=q=1\) we have Qty A = Qty B
however if \(P=2\) and \(q = 1\)we have Qty B > Qty A
_________________
Qty B = \(\frac{p}{q} * \frac{p}{q}\)
Both P and Q are positive integers therefore both quantities are also +ve
Cancel p/q from both sides we have
\(Qty A = 1\)
\(Qty B = \frac{p}{q}\)
We do not know the value of p and q to determine what exactly is p/q
If \(p=q=1\) we have Qty A = Qty B
however if \(P=2\) and \(q = 1\)we have Qty B > Qty A
_________________
Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos
Re: The numbers p and q are both positive integers.
[#permalink]
03 Sep 2021, 14:46
03 Sep 2021, 14:46
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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