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# In a certain deck of cards, each card has a positive integer

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SVP
Joined: 21 Jul 2006
Posts: 1551
Followers: 8

Kudos [?]: 305 [0], given: 1

In a certain deck of cards, each card has a positive integer [#permalink]  31 Mar 2008, 10:57
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0% (00:00) correct 0% (00:00) wrong based on 3 sessions
In a certain deck of cards, each card has a positive integer written on it. In a multiplication game, a child draws a card and multiplies the integer on the card by the next larger integer. If each possible product is between 15 and 200, then the least and greatest integers on the cards could be

a) 3 and 15

b) 2 and 20

c) 4 and 13

d) 4 and 14

e) 5 and 14

The OA is C, but would someone please show me how?
Thanks
VP
Joined: 22 Oct 2006
Posts: 1443
Schools: Chicago Booth '11
Followers: 8

Kudos [?]: 154 [1] , given: 12

Re: PS: Deck of cards [#permalink]  31 Mar 2008, 11:02
1
KUDOS
Hey Tarek, I think you will be surprised to realize how simple this question is.

we need to know what 2 consecutive integers yield a result above 15?
4*5 = 20 so 4 is the first integer

if you went 3 , ti would be 3*4 = 12 , which is not i nthe 15 range

Moreover, what set of consectuive integers when multiplied yield a value less than 200?

13*14 = 182

so if he picks 13 , it will get multipled by one on top of it, and give u 182.

14*15 = 210 so thats too high

so answer is C 4 and 13
Re: PS: Deck of cards   [#permalink] 31 Mar 2008, 11:02
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