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# Q17: The number of defects in the first five cars to come

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Manager
Joined: 11 Jan 2007
Posts: 201
Location: Bangkok
Followers: 1

Kudos [?]: 16 [0], given: 0

Q17: The number of defects in the first five cars to come [#permalink]  05 Jun 2007, 19:39
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Q17:
The number of defects in the first five cars to come through a new production line are 9, 7, 10, 4, and 6, respectively. If the sixth car through the production line has either 3, 7, or 12 defects, for which of theses values does the mean number of defects per car for the first six cars equal the median?

I. 3
II. 7
III. 12

A. I only
B. II only
C. III only
D. I and III only
E. I, II, and III
_________________

cool

Manager
Joined: 18 Sep 2006
Posts: 58
Followers: 1

Kudos [?]: 2 [0], given: 0

D is correct, do you need explanation or are you ok with the answer?
Director
Joined: 13 Mar 2007
Posts: 545
Schools: MIT Sloan
Followers: 4

Kudos [?]: 28 [0], given: 0

is there any shortcut other than working out for the 3 choices ?
Senior Manager
Joined: 24 Nov 2006
Posts: 351
Followers: 1

Kudos [?]: 16 [0], given: 0

is there any shortcut other than working out for the 3 choices ?

It´s not necessary to work out all the choices, you just have to check the answer choices. In general, you start with the choice that repeats itself in most of the answer choices (so if it doesn´t hold, you can discard right away the largest # of answer choices). In this case, it´s III. If you solve for III first, and it holds, you can discard answer choice A and B right away. Then you are left with D and E. If you solve for II, and it holds, E is the answer, but if it doesn´t hold (this particular case), then the answer is D.
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