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Senior RC Moderator V
Joined: 02 Nov 2016
Posts: 4128
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If p and q are positive integers, each of the following can be the val  [#permalink]

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Difficulty:   65% (hard)

Question Stats: 49% (01:58) correct 51% (01:46) wrong based on 79 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. 20$$\sqrt{2p}$$
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, 05:17.
Last edited by Bunuel on 24 Mar 2019, 08:04, edited 2 times in total.
Edited the question.
Math Expert V
Joined: 02 Aug 2009
Posts: 8005
Re: If p and q are positive integers, each of the following can be the val  [#permalink]

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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$$\sqrt{q}$$

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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Location: India
Concentration: Sustainability, Marketing
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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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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..
Manager  G
Joined: 14 Jun 2018
Posts: 217
Re: If p and q are positive integers, each of the following can be the val  [#permalink]

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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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Posts: 682
Location: Egypt
Concentration: Strategy, International Business
GPA: 3.67
WE: Pharmaceuticals (Health Care)
Re: If p and q are positive integers, each of the following can be the val  [#permalink]

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1
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

Hi, Bunuel
$$2\sqrt{2p}$$ should be corrected to $$20\sqrt{2p}$$
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Thanks for Kudos
Math Expert V
Joined: 02 Sep 2009
Posts: 58421
Re: If p and q are positive integers, each of the following can be the val  [#permalink]

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Mahmoudfawzy83 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$$\sqrt{q}$$

Source: Experts Global GMAT
Difficulty Level: 700

Hi, Bunuel
$$2\sqrt{2p}$$ should be corrected to $$20\sqrt{2p}$$

Edited. Thank you.
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Intern  B
Joined: 15 Aug 2017
Posts: 13
Re: If p and q are positive integers, each of the following can be the val  [#permalink]

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this is actually easy and 550 level Question Re: If p and q are positive integers, each of the following can be the val   [#permalink] 24 Mar 2019, 08:49
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