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# If x < y, 2x = A, and 2y = B, then

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Math Expert
Joined: 02 Sep 2009
Posts: 56277
If x < y, 2x = A, and 2y = B, then  [#permalink]

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06 Mar 2018, 21:36
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Difficulty:

15% (low)

Question Stats:

95% (00:49) correct 5% (01:01) wrong based on 35 sessions

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If x < y, 2x = A, and 2y = B, then

A. A = B

B. A < B

C. A > B

D. A < x

E. B < y

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Math Expert
Joined: 02 Sep 2009
Posts: 56277
Re: If x < y, 2x = A, and 2y = B, then  [#permalink]

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06 Mar 2018, 21:39
SVP
Joined: 26 Mar 2013
Posts: 2283
Re: If x < y, 2x = A, and 2y = B, then  [#permalink]

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07 Mar 2018, 10:22
Bunuel wrote:
If x < y, 2x = A, and 2y = B, then

A. A = B

B. A < B

C. A > B

D. A < x

E. B < y

x < y.....mulitply bith sides by 2 (So no change in sign)

2x < 2y............Substitute 2x = A, and 2y = B

A < B

Manager
Joined: 23 Sep 2016
Posts: 236
Re: If x < y, 2x = A, and 2y = B, then  [#permalink]

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07 Mar 2018, 22:22
Bunuel wrote:
If x < y, 2x = A, and 2y = B, then

A. A = B

B. A < B

C. A > B

D. A < x

E. B < y

IMO B i will take every case that is possible :-
X<Y
1 X=1, Y=2
2 X=0.2, Y=0.5
3. X=-3, Y=-1
4.X=0, Y=4
NOW according to every case we will find A AND B
A=2x and B= 2y
1.A=2, B=4
2.A=0.4, B=1
3. A=-6, B=-2
4.X=0, B=8
In every case we can see A<B so answer is B
Manager
Status: The journey is always more beautiful than the destination
Affiliations: Computer Science
Joined: 24 Apr 2017
Posts: 52
Location: India
Concentration: Statistics, Strategy
GMAT 1: 570 Q40 V28
GPA: 3.14
Re: If x < y, 2x = A, and 2y = B, then  [#permalink]

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08 Mar 2018, 10:25
If X<Y
then multiplying both of the sides of the eqn we get,
2X < 2Y

As 2x = A and 2Y = B, so

A<B

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Re: If x < y, 2x = A, and 2y = B, then   [#permalink] 08 Mar 2018, 10:25
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