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p, q, and r are positive integers p = 3q q = 5r

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Carcass
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p, q, and r are positive integers p = 3q q = 5r [#permalink] New post   31 Dec 2020, 01:07
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p, q, and r are positive integers
p = 3q
q = 5r


Quantity A
Quantity B
The remainder when pq is divided by r
The remainder when pr is divided by q



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.

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C
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Re: p, q, and r are positive integers p = 3q q = 5r [#permalink] New post   31 Dec 2020, 01:31
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It is given that p = 3q & q = 5r

Qt A

The remainder when pq is divided by r

Now r is already a factor of q so the product is divisible and the remainder will be 0.

Qt B

The remainder when pr is divided by q

Same as Qt A, q is already a factor of p so the product is divisible and the remainder will be 0.


Qt A = Qt B

Answer C
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Re: p, q, and r are positive integers p = 3q q = 5r [#permalink] New post   31 Dec 2020, 08:41
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Let us calculate qty A
From information provided;
\(PQ = 3Q * 5R\)
or, \(15QR\)
When this is divided by R we get,
\(15Q\) so the remainder is 0

Now let us calculate qty B
we get,
\(3Q * R\)
or, \(3QR\)
when this is divided by Q we get,
\(3R\) so the remainder is again 0

Therefore the answer is C
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Re: p, q, and r are positive integers p = 3q q = 5r [#permalink] New post   31 Dec 2020, 08:49
Expert Reply
amorphous wrote:
Let us calculate qty A
From information provided;
\(PQ = 3Q * 5R\)
or, \(15QR\)
When this is divided by R we get,
\(15Q\) so the remainder is 0

Now let us calculate qty B
we get,
\(3Q * R\)
or, \(3QR\)
when this is divided by Q we get,
\(3R\) so the remainder is again 0

Therefore the answer is C


A touch of evil :twisted:
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Re: p, q, and r are positive integers p = 3q q = 5r [#permalink] New post   29 May 2021, 22:58
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Carcass wrote:
amorphous wrote:
Let us calculate qty A
From information provided;
\(PQ = 3Q * 5R\)
or, \(15QR\)
When this is divided by R we get,
\(15Q\) so the remainder is 0

Now let us calculate qty B
we get,
\(3Q * R\)
or, \(3QR\)
when this is divided by Q we get,
\(3R\) so the remainder is again 0

Therefore the answer is C


A touch of evil :twisted:


:lol: :lol: :lol:
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Re: p, q, and r are positive integers p = 3q q = 5r [#permalink] New post   09 Feb 2024, 13:46
Hello from the GRE Prep Club BumpBot!

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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Re: p, q, and r are positive integers p = 3q q = 5r [#permalink]
09 Feb 2024, 13:46
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