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if X>Y
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Updated on: 06 Apr 2017, 10:37
Updated on: 06 Apr 2017, 10:37
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57% (01:00) correct
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x > y
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Quantity A |
Quantity B |
The average (arithmetic mean) of x, x, x, y, and y |
The average (arithmetic mean) of x, x, and y |
A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
Originally posted by gre99 on 19 Feb 2017, 02:28.
Last edited by GreenlightTestPrep on 06 Apr 2017, 10:37, edited 3 times in total.
Last edited by GreenlightTestPrep on 06 Apr 2017, 10:37, edited 3 times in total.
Edited by Carcass
Re: if X>Y
[#permalink]
19 Feb 2017, 03:35
19 Feb 2017, 03:35
Expert Reply
Lets examine our claim put
Put x=10 and y= 5
Quantity A: 8
Quantity B: 8.33333
Quantity B is greater.
x = -5 and y= -10.
Quantity A: -7
Quantity B: -6.6666667
B is still greater.
So B is correct.
Put x=10 and y= 5
Quantity A: 8
Quantity B: 8.33333
Quantity B is greater.
x = -5 and y= -10.
Quantity A: -7
Quantity B: -6.6666667
B is still greater.
So B is correct.
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Re: if X>Y
[#permalink]
06 Apr 2017, 10:44
06 Apr 2017, 10:44
1
gre99 wrote:
x > y
Quantity A |
Quantity B |
The average (arithmetic mean) of x, x, x, y, and y |
The average (arithmetic mean) of x, x, and y |
We can also solve this by using the strategy of matching operations
Quantity A: average of x, x, x, y, and y
Quantity B: average x, x, and y
Apply average formula to get:
Quantity A: (x + x + x + y + y)/5
Quantity B: (x + x + y)/3
Simplify:
Quantity A: (3x + 2y)/5
Quantity B: (2x + y)/3
To eliminate the fractions, multiply both quantities by 15 (the least common multiple of 3 and 5):
Quantity A: 15(3x + 2y)/5
Quantity B: 15(2x + y)/3
Simplify:
Quantity A: 3(3x + 2y)
Quantity B: 5(2x + y)
Expand:
Quantity A: 9x + 6y
Quantity B: 10x + 5y
Subtract 9x from both quantities:
Quantity A: 6y
Quantity B: x + 5y
Subtract 5y from both quantities:
Quantity A: y
Quantity B: x
Since we're TOLD that x > y, the correct answer is B
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