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Average of xy vs 7
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05 Feb 2020, 10:03
05 Feb 2020, 10:03
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Question Stats:
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16% (00:24) wrong based on 30 sessions
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w + x + y = 21
A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Quantity A |
Quantity B |
Average of x and y |
7 |
A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Re: Average of xy vs 7
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05 Feb 2020, 11:59
05 Feb 2020, 11:59
1
huda wrote:
w + x + y = 21
A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Quantity A |
Quantity B |
Average of x and y |
7 |
A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
If w + x + y = 21, then x + y = 21 - w. Since w can be any number - negative or positive, large or small, than x + y and (x+y)/2 can be smaller or greater than 7.
The answer is D.
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Average of xy vs 7
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05 Feb 2020, 16:19
05 Feb 2020, 16:19
1
huda wrote:
w + x + y = 21
A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Quantity A |
Quantity B |
Average of x and y |
7 |
A. The quantity in Column A is greater
B. The quantity in Column B is greater
C. The two quantities are equal
D. The relationship cannot be determined from the information given
Let's test some possible values
case i: Since w + x + y = 21 one possible set of values is w = 21, x = 0 and y = 0
We get:
Quantity A: Average of x and y = (0 + 0)/2 = 0
Quantity B: 7
In this case, Quantity B is greater
case ii: Since w + x + y = 21 another possible set of values is w = 1, x = 10 and y = 10
We get:
Quantity A: Average of x and y = (10 + 10)/2 = 10
Quantity B: 7
In this case, Quantity A is greater
Answer: D
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