Chips

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ricky: Master | Next Rank: 500 Posts; Posts: 118; Joined: Sun Jun 01, 2008 1:47 pmFollowed by: 1 member; Thanked: 5 times

by ricky » Tue Aug 05, 2008 6:17 am

In a certain game, a large bag is filled with blue, green, purple and red chips worth 1, 5, x and 11 points each, respectively. The purple chips are worth more than the green chips, but less than the red chips. A certain number of chips are then selected from the bag. If the product of the point values of the selected chips is 88,000, how many purple chips were selected?
1
2
3
4
5

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Source: Beat The GMAT — Problem Solving | Tue Aug 05, 2008 6:17 am

sudhir3127: Legendary Member; Posts: 829; Joined: Mon Jul 07, 2008 10:09 pmFollowed by: 3 members; Location: INDIA; Thanked: 84 times

by sudhir3127 » Tue Aug 05, 2008 6:34 am

i would go with B.2

here it goes... .

88000 can be written as 8*11*10*10*10

can be further broken into 2*2*2* 11* 2*5* 2*5* 2*5

hence its 2^6*11*5^3

now from the question we know purple is between 5 and 11 therefore

6,7,8,9,10.

we cant choose 7 and 9 because they dont yield in 2's for us

we cant take 6 because though it will give as 2' sit will give us 3 as well which we dont want..

we cant take 10 because it will give us 2's and 5's and we dont need any more 5s.

hence 8 because 2 8's we give us 6 2's ( 2^6)

thus the answer is 2.

please let me know the OA and if u have any doubts...

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ricky: Master | Next Rank: 500 Posts; Posts: 118; Joined: Sun Jun 01, 2008 1:47 pmFollowed by: 1 member; Thanked: 5 times

by ricky » Tue Aug 05, 2008 6:47 am

Why cant it be 10...

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sudhir3127: Legendary Member; Posts: 829; Joined: Mon Jul 07, 2008 10:09 pmFollowed by: 3 members; Location: INDIA; Thanked: 84 times

by sudhir3127 » Tue Aug 05, 2008 6:50 am

because 10 can be broken into 2 and 5 .. though it will give us 2 it will also give us 5 , we already have the required number of 5's ( 5^3).. any more 5's will not lead us to 88000 . hence we have drop 10.

hope its clear..

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ricky: Master | Next Rank: 500 Posts; Posts: 118; Joined: Sun Jun 01, 2008 1:47 pmFollowed by: 1 member; Thanked: 5 times

by ricky » Tue Aug 05, 2008 6:54 am

Thanx a lot..OA shud be.2 I have not checked it coz i m in middle of a mock test.

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