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a<b<c
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20 May 2021, 09:42
20 May 2021, 09:42
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Question Stats:
64% (01:48) correct
35% (01:43) wrong based on 28 sessions
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๐ < ๐ < ๐, the average of ๐ and ๐ is 7, the average of ๐ and ๐ is 11, the average of ๐ and ๐ is 10. Which is greater?
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 of a,b,and c |
9.3 |
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.
Re: a<b<c
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20 May 2021, 20:40
20 May 2021, 20:40
1
Avg of a and b = 7
Therefore a + b = 7(2) = 14;
Avg of b and c = 11
Therefore b + c = 11(2) = 22;
Avg of a and c = 10
Therefore a + c = 10(2) = 20;
Adding (2) and (3):
= a + b + 2c = 42
= 14 + 2c = 42...(Since, a + b = 14)
= 2c = 28
= c = 14;
Avg of a, b and c:
= (a + b + c) / 3
= (14 + 14) / 3
= 28 / 3
= 9.333...
9.3333... > 9.3
Hence, Quantity A is greater
Therefore a + b = 7(2) = 14;
Avg of b and c = 11
Therefore b + c = 11(2) = 22;
Avg of a and c = 10
Therefore a + c = 10(2) = 20;
Adding (2) and (3):
= a + b + 2c = 42
= 14 + 2c = 42...(Since, a + b = 14)
= 2c = 28
= c = 14;
Avg of a, b and c:
= (a + b + c) / 3
= (14 + 14) / 3
= 28 / 3
= 9.333...
9.3333... > 9.3
Hence, Quantity A is greater
Re: a<b<c
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04 Mar 2023, 04:03
04 Mar 2023, 04:03
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).
Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
