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# Five people - Adam, Bob, Craig, Daniel and Evan - are of dif

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Joined: 01 Sep 2010
Posts: 3213
Five people - Adam, Bob, Craig, Daniel and Evan - are of dif [#permalink]

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26 Jun 2013, 18:26
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Difficulty:

65% (hard)

Question Stats:

25% (13:12) correct 75% (04:03) wrong based on 8 sessions

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Five people - Adam, Bob, Craig, Daniel and Evan - are of different ages. Daniel is younger than both Adam and Craig. Craig is younger than Bob but older than Evan.

Who among the five is the oldest?

(1) The average age of Adam and Bob is less than the average age of Craig and Evan.

(2) The average age of Bob and Craig is less than the average age of Adam and Evan.
[Reveal] Spoiler: OA

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Re: Five people - Adam, Bob, Craig, Daniel and Evan - are of dif [#permalink]

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26 Jun 2013, 19:57
1
KUDOS
Five people - Adam, Bob, Craig, Daniel and Evan - are of different ages. Daniel is younger than both Adam and Craig. Craig is younger than Bob but older than Evan.
Who among the five is the oldest?
D< A, C
E<C< B

(1) The average age of Adam and Bob is less than the average age of Craig and Evan.
A+B <C+E
A+ (B-C) <E
where (B-C) some positive number
This means that E is older A.
D <A<E<C<B
B is the oldest.
Sufficient

(2) The average age of Bob and Craig is less than the average age of Adam and Evan.
B+C<A+E
B< A + (E-C)
Because (E-C) is some Negative Number, we can say that A>B
D <E<C<B<A
A is the oldest.
Sufficient

Concept is good but not in a proper GMAT type format.
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Re: Five people - Adam, Bob, Craig, Daniel and Evan - are of dif [#permalink]

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26 Jun 2013, 20:31
1
KUDOS
Expert's post
fameatop wrote:
Five people - Adam, Bob, Craig, Daniel and Evan - are of different ages. Daniel is younger than both Adam and Craig. Craig is younger than Bob but older than Evan.
Who among the five is the oldest?
D< A, C
E<C< B

(1) The average age of Adam and Bob is less than the average age of Craig and Evan.
A+B <C+E
A+ (B-C) <E
where (B-C) some positive number
This means that E is older A.
D <A<E<C<B

B is the oldest.
Sufficient

(2) The average age of Bob and Craig is less than the average age of Adam and Evan.
B+C<A+E
B< A + (E-C)
Because (E-C) is some Negative Number, we can say that A>B
D <E<C<B<A

A is the oldest.
Sufficient

Concept is good but not in a proper GMAT type format.

This is a poor quality question: on the GMAT, two data sufficiency statements always provide TRUE information and these statements never contradict each other.
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Re: Five people - Adam, Bob, Craig, Daniel and Evan - are of dif   [#permalink] 26 Jun 2013, 20:31
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