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If p and q are positive integers, each of the following can be the val

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If p and q are positive integers, each of the following can be the val  [#permalink]

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New post Updated on: 06 Jan 2019, 08:03
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Question Stats:

33% (02:02) correct 67% (01:47) wrong based on 64 sessions

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If p and q are positive integers, each of the following can be the value of \(\sqrt{200pq}\) except.

A. 20\(\sqrt{q}\)
B. 20\(\sqrt{p}\)
C. 2\(\sqrt{2p}\)
D. 30\(\sqrt{q}\)
E. 300\(\sqrt{q}\)

Source: Experts Global GMAT
Difficulty Level: 700

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Originally posted by SajjadAhmad on 20 Oct 2018, 04:17.
Last edited by SajjadAhmad on 06 Jan 2019, 08:03, edited 1 time in total.
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Re: If p and q are positive integers, each of the following can be the val  [#permalink]

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New post 20 Oct 2018, 05:29
2
SajjadAhmad wrote:
If p and q are positive integers, each of the following can be the value of \(\sqrt{200pq}\) except.

A. 20\(\sqrt{q}\)
B. 20\(\sqrt{p}\)
C. 2\(\sqrt{2p}\)
D. 30\(\sqrt{q}\)
E. 300\(\sqrt{q}\)

EG


Let us see what MINIMUM quantity should each choice have..
\(\sqrt{200pq}=10\sqrt{2pq}\)

Let us see the choices..

A. 20\(\sqrt{q}\).......yes,p could be 2
B. 20\(\sqrt{p}\)......yes, q could be 2
C. 2\(\sqrt{2p}\).....NO, it has to be 20√(2p) and not 2√(2p)
D. 30\(\sqrt{q}\).....NO, it has to be 30√(2q) atleast
E. 300\(\sqrt{q}\)...yes

So some flaw in one of the two choices C and D, as there cannot be 2 answers
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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
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3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html
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Re: If p and q are positive integers, each of the following can be the val  [#permalink]

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New post 21 Oct 2018, 01:58
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If p and q are positive integers, each of the following can be the value of 200pq‾‾‾‾‾‾√200pq except.

A. 20q‾√q
B. 20p‾√p
C. 22p‾‾‾√2p
D. 30q‾√q
E. 300q‾√

Upon doing the factorising 200 : we get 2*10^2

We can say : 10 (2pg)^1/2

From all the answer options the one which wont be correct would be the one without '0' therefore C is right..
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Re: If p and q are positive integers, each of the following can be the val  [#permalink]

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New post 21 Oct 2018, 02:20
Archit3110 wrote:
If p and q are positive integers, each of the following can be the value of 200pq‾‾‾‾‾‾√200pq except.

A. 20q‾√q
B. 20p‾√p
C. 22p‾‾‾√2p
D. 30q‾√q
E. 300q‾√

Upon doing the factorising 200 : we get 2*10^2

We can say : 10 (2pg)^1/2

From all the answer options the one which wont be correct would be the one without '0' therefore C is right..

For D , 900/200 = 4.5. Also incorrect

C & D are both incorrect
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Re: If p and q are positive integers, each of the following can be the val   [#permalink] 21 Oct 2018, 02:20
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If p and q are positive integers, each of the following can be the val

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