medium question

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magical cook: Master | Next Rank: 500 Posts; Posts: 484; Joined: Sun Jul 30, 2006 7:01 pmFollowed by: 1 member; Thanked: 2 times

by magical cook » Wed Jan 23, 2008 1:42 pm

How many people bought TVs at the Electronics Depot?

(1) If six Electronics Depot customers are chosen at random, one of the six bought a TV.
(2) If four Electronics Depot customers are chosen at random there are 100 different groups of people that could be chosen.

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Source: Beat The GMAT — Data Sufficiency | Wed Jan 23, 2008 1:42 pm

Stuart@KaplanGMAT: GMAT Instructor; Posts: 3225; Joined: Tue Jan 08, 2008 2:40 pmFollowed by: 614 members; Location: Toronto; Thanked: 1710 times; GMAT Score:800

Re: medium question

by Stuart@KaplanGMAT » Wed Jan 23, 2008 2:36 pm

magical cook wrote:How many people bought TVs at the Electronics Depot?

(1) If six Electronics Depot customers are chosen at random, one of the six bought a TV.
(2) If four Electronics Depot customers are chosen at random there are 100 different groups of people that could be chosen.

Is this an official question? The wording of statement (1) is a bit ambiguous. I'm going to interpret it as "one in six customers bought a TV", but that's not the only way that the statement could be interpreted.

(1) 1/6th of the customers bought a TV. Sadly, we have no clue how many customers they had: insufficient.

(2) Doesn't say anything about TV purchases: insufficient.

Together:

(1) 1/6th of customers bought a TV.

(2) nC4 = 100 (i.e. there are 100 different ways to choose 4 people out of the entire customer base).

From (2) we can solve for n, the number of customers.

We can then multiply n by 1/6 to calculate how many people bought TVs.

Together the statements are sufficient: choose (C).

Stuart Kovinsky | Kaplan GMAT Faculty | Toronto

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magical cook: Master | Next Rank: 500 Posts; Posts: 484; Joined: Sun Jul 30, 2006 7:01 pmFollowed by: 1 member; Thanked: 2 times

by magical cook » Wed Jan 23, 2008 3:46 pm

Thanks, this is not official question, so quesion might not be so properly written.

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