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Senior | Next Rank: 100 Posts
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by hpgmat » Sat Oct 24, 2009 2:43 pm
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 is between 15 and 200, then the least and greatest integers on the cards could be

3 and 15
3& 20
4 & 13
4 &14
5 & 14
Will Win
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Source: — Problem Solving |
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Hey

by Leon1984 » Sat Oct 24, 2009 6:25 pm
I think it's just best to solve this one by actually playing the game of multiplication. We need to check for each number whether the multiple of it with the next consecutive integer gives us a product that is withing the limits.
a) 3*4 = 12 we need minimum 15, so move on
b) again 3, move on
c) 4*5=20 good, 13*14=182 good. Now just check to make sure
d) 14*15=210 over the limit, and e) will be over the limit as well, so it's C.

Is it?
Leon
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by satish.nagdev » Sun Oct 25, 2009 10:13 pm
bingo
apart from 4 & 13, all other options give 200+ as the maximum possible product of card's number and next integer
Wounded by GMAT but not dead
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