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

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

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21 Feb 2006, 19:08
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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 should be

a) 3 and 15
b) 3 and 20
c) 4 and 13
d) 4 and 14
e) 5 and 14
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21 Feb 2006, 20:01
It should be 4 & 13 ans c

because 4*5 =20 > 15

and 13 *14 =182 < 200

restof the options does not satifies the range
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21 Feb 2006, 20:07
4 - Drawing a four, it needs to be multiplied by 5 to give 20 (3 will result in 12, too small)

13 - Drawing a 13, it needs to be multiplied by 14 to give 182 (14 will result in 210, too large)

Ans C
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21 Feb 2006, 20:32
Thanks guys! I now get it.

FYI the official answer to the question is (C).
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21 Feb 2006, 21:42
Why isn't it D? Isn't the largest integer on the playing card 14 since you have to multiply it by 13?
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21 Feb 2006, 21:45
jlui4477 wrote:
Why isn't it D? Isn't the largest integer on the playing card 14 since you have to multiply it by 13?

Jlui - u getting it wrong , u pick a card and multiply it with the immediate larger interger , so u pick 13 and multiply with 14 and 182 . Hope I am clear
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21 Feb 2006, 22:31
Yea, it's all clear. Thanks a bunch!
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