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

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SVP
Status: Preparing GMAT
Joined: 02 Nov 2016
Posts: 1842
Location: Pakistan
GPA: 3.39
If p and q are positive integers, each of the following can be the val  [#permalink]

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20 Oct 2018, 04:17
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Difficulty:

45% (medium)

Question Stats:

34% (01:22) correct 66% (01:17) wrong based on 38 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$$\sqrt{q}$$

EG

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Joined: 02 Aug 2009
Posts: 7039
If p and q are positive integers, each of the following can be the val  [#permalink]

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20 Oct 2018, 05:29
2
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
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

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Concentration: Healthcare, Marketing
Re: If p and q are positive integers, each of the following can be the val  [#permalink]

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21 Oct 2018, 01:58
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
Joined: 14 Jun 2018
Posts: 188
Re: If p and q are positive integers, each of the following can be the val  [#permalink]

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