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gmatprep - card game

by Gurpinder » Mon Sep 20, 2010 8:16 am
from my understanding, the possible product is between 15 and 200, the game is to have 2 consecutive #'s that when multiplied give you values between 15 and 200

am i right?

4x5= 20 so the least # = 4.

but then 13*14=182. so shouldnt the largest # be 14?????
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by niksworth » Mon Sep 20, 2010 9:36 am
the child draws an integer from the deck and multiples it by the next integer (which might not necessarily be in the deck).

If the largest integer in the deck is 14, then the product, as given by the child, is 14*15 = 210.
Since the maximum possible product is 200, we cannot have 14 as the largest integer.

13 satisfies this, and so is the largest integer.
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by beatthegmatinsept » Mon Sep 20, 2010 9:41 am
Isnt the largest number in a 'deck of cards' always 13? So any answer choices with the range of numbers beyong 13 should be eliminated?
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by Ian Stewart » Mon Sep 20, 2010 9:52 am
Gurpinder wrote:from my understanding, the possible product is between 15 and 200, the game is to have 2 consecutive #'s that when multiplied give you values between 15 and 200

am i right?

4x5= 20 so the least # = 4.

but then 13*14=182. so shouldnt the largest # be 14?????
Yes, your understanding is correct, but bear in mind it's the smaller of the two consecutive numbers which appears on the card that is selected. So when we play this game, if we pick a '13' on our card, we will multiply 13*14 = 182. If we were to have a '14' among the cards, then when we picked '14' we'd calculate 14*15 = 210, which is too large. So 13 is the largest number that can appear on a card.
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by niksworth » Mon Sep 20, 2010 10:02 am
beatthegmatinsept wrote:Isnt the largest number in a 'deck of cards' always 13? So any answer choices with the range of numbers beyong 13 should be eliminated?
I can't believe that you have used this logic to solve this problem :)

And, while a deck of cards has 13 cards in a single suite, no card is numbered or valued 13!!
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by beatthegmatinsept » Mon Sep 20, 2010 10:08 am
niksworth wrote:
beatthegmatinsept wrote:Isnt the largest number in a 'deck of cards' always 13? So any answer choices with the range of numbers beyong 13 should be eliminated?
I can't believe that you have used this logic to solve this problem :)

And, while a deck of cards has 13 cards in a single suite, no card is numbered or valued 13!!
LOL.. King stands for 13 ;)

No, I didn't use this logic to solve the problem, but I have to admit, I focused on the options that had 13 as the largest number to get to the answer
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by Gurpinder » Mon Sep 20, 2010 12:23 pm
Thx all.

Its clear now.

The "next #" is hypothetical. So the largest # is suppose to be the card SELECTED and that can only be 13.

: )
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