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p, q, and r are positive integers p = 3q q = 5r
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31 Dec 2020, 01:07
31 Dec 2020, 01:07
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Question Stats:
55% (01:21) correct
44% (01:27) wrong based on 93 sessions
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p, q, and r are positive integers
p = 3q
q = 5r
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.
Kudos for the right answer and explanation
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.
Kudos for the right answer and explanation
Re: p, q, and r are positive integers p = 3q q = 5r
[#permalink]
31 Dec 2020, 01:31
31 Dec 2020, 01:31
3
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
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
Re: p, q, and r are positive integers p = 3q q = 5r
[#permalink]
31 Dec 2020, 08:41
31 Dec 2020, 08:41
2
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
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
