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

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

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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
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cool

Manager
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06 Jun 2007, 09:43
D is correct, do you need explanation or are you ok with the answer?
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06 Jun 2007, 13:41
is there any shortcut other than working out for the 3 choices ?
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06 Jun 2007, 14:08
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.
06 Jun 2007, 14:08
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