GMAT Paper test - Test Code 31 : GMAT Problem Solving (PS)
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# GMAT Paper test - Test Code 31

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GMAT Paper test - Test Code 31 [#permalink]

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28 Jan 2010, 13:54
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40% (03:37) correct 60% (01:36) wrong based on 8 sessions

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Here is a question that I cannot figure out

If the Average (mean ) of 5 positive temperatures is x degrees fahrenheit, then the sum of the 3 greatest of these temperatures, in degrees Fahrenheit, could be

A) 6x
B) 4x
C) 5x/3
D) 3x/2
E) 3x/5

Please provide solutions along with your answer choice. Thank you
OA: B
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Re: GMAT Paper test - Test Code 31 [#permalink]

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28 Jan 2010, 14:38
loki wrote:
Here is a question that I cannot figure out

If the Average (mean ) of 5 positive temperatures is x degrees fahrenheit, then the sum of the 3 greatest of these temperatures, in degrees Fahrenheit, could be

A) 6x
B) 4x
C) 5x/3
D) 3x/2
E) 3x/5

Please provide solutions along with your answer choice. Thank you
OA: B

Lets use the POE here,

x is the average of 5 numbers and hence total = 5x

A) 6x -- greater than 5x hence invalid option
B) 4x -- Correct
C) 5x/3 -- is this is the case then rest 2 values are also equal to these values and hence this cannot be the sum of the 3 greater temp.
D) 3x/2 -- 1.5x which cant be the sum of 3 greater temp.
E) 3x/5 -- same as D

Cheers
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Re: GMAT Paper test - Test Code 31 [#permalink]

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29 Jan 2010, 03:04
Thank you nitishmahajan!
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Re: GMAT Paper test - Test Code 31 [#permalink]

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29 Jan 2010, 19:38
B; others are statistically not possible if the numbers are positive integers
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Re: GMAT Paper test - Test Code 31 [#permalink]

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12 Mar 2010, 11:12
loki wrote:
Here is a question that I cannot figure out

If the Average (mean ) of 5 positive temperatures is x degrees fahrenheit, then the sum of the 3 greatest of these temperatures, in degrees Fahrenheit, could be

A) 6x
B) 4x
C) 5x/3
D) 3x/2
E) 3x/5

Please provide solutions along with your answer choice. Thank you
OA: B

Let the 5 numbers be 1,2,3,4,5 (since no restrictions are given). There mean is 3 (x).

Now the sum of greatest three would be 3+4+5= 12

so the answer has to be 4x....that is option B

Hope this helps !!!
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Re: GMAT Paper test - Test Code 31 [#permalink]

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13 Mar 2010, 07:11
loki wrote:
Here is a question that I cannot figure out
If the Average (mean ) of 5 positive temperatures is x degrees fahrenheit, then the sum of the 3 greatest of these temperatures, in degrees Fahrenheit, could be

A) 6x
B) 4x
C) 5x/3
D) 3x/2
E) 3x/5

Please provide solutions along with your answer choice. Thank you
OA: B

POE only can be used in this question.
Other option than B are mathmatically not possible.
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Re: GMAT Paper test - Test Code 31 [#permalink]

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14 Mar 2010, 12:03
what does POE mean guys?

i just used 1,2,3,4,5 as the integers and went from there. B was the only possible answer
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Re: GMAT Paper test - Test Code 31 [#permalink]

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14 Mar 2010, 20:59
nickk wrote:
what does POE mean guys?

i just used 1,2,3,4,5 as the integers and went from there. B was the only possible answer

POE: Process of Elimination
Inserting answer choices and solving to see if answer choice is possible or not.
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Re: GMAT Paper test - Test Code 31 [#permalink]

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15 Mar 2010, 07:50
loki wrote:
Here is a question that I cannot figure out

If the Average (mean ) of 5 positive temperatures is x degrees fahrenheit, then the sum of the 3 greatest of these temperatures, in degrees Fahrenheit, could be

A) 6x
B) 4x
C) 5x/3
D) 3x/2
E) 3x/5

Please provide solutions along with your answer choice. Thank you
OA: B

Sum of all five numbers is 5x so sum of 3 greatest numbers must be greater than half of the full sum i.e. >2.5x
definitely A is impossible.
B could be a possibility as it is >2.5x
c is actually 1.67x so not possible.
D is actually 1.5x so not possible.
E is 0.6x definitely not possible

Thats why only option left is B and hence it is the answer.
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Re: GMAT Paper test - Test Code 31   [#permalink] 15 Mar 2010, 07:50
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# GMAT Paper test - Test Code 31

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