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If p/q < 1, and p and q are positive integers, which of the
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27 Jul 2020, 09:06
27 Jul 2020, 09:06
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91% (00:34) correct
8% (02:13) wrong based on 37 sessions
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If \(\frac{p}{q} < 1\), and p and q are positive integers, which of the following must be greater than 1 ?
(A) \(\sqrt{\frac{p}{q}}\)
(B) \(\frac{p}{q^2}\)
(C) \(\frac{p}{2q}\)
(D) \(\frac{q}{p^2}\)
(E) \(\frac{q}{p}\)
(A) \(\sqrt{\frac{p}{q}}\)
(B) \(\frac{p}{q^2}\)
(C) \(\frac{p}{2q}\)
(D) \(\frac{q}{p^2}\)
(E) \(\frac{q}{p}\)
Re: If p/q < 1, and p and q are positive integers, which of the
[#permalink]
27 Jul 2020, 10:06
27 Jul 2020, 10:06
Quote:
If p/q<1, and p and q are positive integers, which of the following must be greater than 1 ?
Step 1: Understanding the question
As p and q are positive, and \(\frac{p}{q }\)< 1, therefore, p < q
Step 2: Calculation
p < q
1 < \(\frac{q}{ p}\)
hence \(\frac{q}{p}\) is always greater than 1
E is correct
Re: If p/q < 1, and p and q are positive integers, which of the
[#permalink]
27 Jul 2020, 10:57
27 Jul 2020, 10:57
p and q are positive integers and p/q<1,
Since this is a MUST question and not the SHOULD question, I think we can assume the values. Say p=1 and q=2.
For these values, only option that makes the value >1 is E.
So, the answer should be E.
Since this is a MUST question and not the SHOULD question, I think we can assume the values. Say p=1 and q=2.
For these values, only option that makes the value >1 is E.
So, the answer should be E.
). So, in these situations, always 
