BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

gmatprep - card game

Expert replies
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?????
Attachments
card game.JPG
"Do not confuse motion and progress. A rocking horse keeps moving but does not make any progress."
- Alfred A. Montapert, Philosopher.
Join the discussion
Source: — Problem Solving |

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.
scio me nihil scire
Join the discussion

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?
Being defeated is often only a temporary condition. Giving up is what makes it permanent.
Join the discussion

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.
For online GMAT math tutoring, or to buy my higher-level Quant books and problem sets, contact me at ianstewartgmat at gmail.com

ianstewartgmat.com
Join the discussion

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!!
scio me nihil scire
Join the discussion

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
Being defeated is often only a temporary condition. Giving up is what makes it permanent.
Join the discussion

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.

: )
"Do not confuse motion and progress. A rocking horse keeps moving but does not make any progress."
- Alfred A. Montapert, Philosopher.
Join the discussion