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Barney is forming two large cubes, A and B, with small identical cubes

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Barney is forming two large cubes, A and B, with small identical cubes  [#permalink]

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New post 24 Dec 2018, 08:20
1
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

71% (02:28) correct 29% (02:09) wrong based on 40 sessions

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Fresh GMAT Club Tests' Question:



Barney is forming two large cubes, A and B, with small identical cubes. He used x small cubes to form cube A and y small cubes to form cube B. If x - y = 61, then what is the value of x + y?

A. 64
B. 125
C. 169
D. 189
E. 216
Spoiler: OA

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Re: Barney is forming two large cubes, A and B, with small identical cubes  [#permalink]

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New post 24 Dec 2018, 08:21
Bunuel wrote:

Fresh GMAT Club Tests' Question:



Barney is forming two large cubes, A and B, with small identical cubes. He used x small cubes to form cube A and y small cubes to form cube B. If x - y = 61, then what is the value of x + y?

A. 64
B. 125
C. 169
D. 189
E. 216


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Re: Barney is forming two large cubes, A and B, with small identical cubes  [#permalink]

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New post 24 Dec 2018, 08:21
Bunuel wrote:

Fresh GMAT Club Tests' Question:



Barney is forming two large cubes, A and B, with small identical cubes. He used x small cubes to form cube A and y small cubes to form cube B. If x - y = 61, then what is the value of x + y?

A. 64
B. 125
C. 169
D. 189
E. 216


Par of GMAT CLUB'S New Year's Quantitative Challenge Set


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PS: Standard deviation | Tough Problem Solving Questions With Solutions | Probability and Combinations Questions With Solutions | Tough and tricky exponents and roots questions | 12 Easy Pieces (or not?) | Bakers' Dozen | Algebra set | Mixed Questions | Fresh Meat
DS: DS Standard deviation | Inequalities | 700+ GMAT Data Sufficiency Questions With Explanations | Tough and tricky exponents and roots questions | The Discreet Charm of the DS | Devil's Dozen!!! | Number Properties set | New DS set
MIXED: GMAT Club's Complete Questions' Bank | SEVEN SAMURAI OF 2012 | Tricky questions from previous years. | Special Questions' Directory | Best Of The Best Of 2017 | The Best Of Quant of 2016 | 20 hardest and 20 best questions of 2015 | 15 best topics of 2015 | Seven Samurai of 2012 | GMAT Probability Questions

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Re: Barney is forming two large cubes, A and B, with small identical cubes  [#permalink]

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New post 24 Dec 2018, 09:47
Given x-y = 61.

Lets try out the options.

From 1) x+y = 64.
Then 2x = 125.
x has to be an integer. Hence 1 is wrong.

From 2) x+y = 125.
Then 2x = 186.
x = 93 and y = 32.
Since x and y are cubes. Using 93 smaller cubes, a bigger cube cannot be made. Hence option 2 is wrong.

Similarly checking the rest of the options. From 4, we get x = 125 and y = 64.

x = 125 = 5*5*5
y = 64 = 4*4*4.

Hence D is the correct option

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Re: Barney is forming two large cubes, A and B, with small identical cubes  [#permalink]

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New post 25 Dec 2018, 01:13
only way to solve this question is by using plug in technique

given x-y=61
x=61+y
and value of x+y answer choices

put x+y= 189

we get 61+2y=189
y=64 and x=125
both x& y are perfect cube of 4 & 5 .
so sufficient IMO D

Bunuel wrote:

Fresh GMAT Club Tests' Question:



Barney is forming two large cubes, A and B, with small identical cubes. He used x small cubes to form cube A and y small cubes to form cube B. If x - y = 61, then what is the value of x + y?

A. 64
B. 125
C. 169
D. 189
E. 216

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Re: Barney is forming two large cubes, A and B, with small identical cubes   [#permalink] 25 Dec 2018, 01:13
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