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02 Apr 2015, 11:52
Kudos
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E
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Difficulty:
75%
(hard)
Question Stats:
57% (02:50) correct
43%
(02:18)
wrong
based on 185
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Each card in a deck has an integer written on it, and the integers on each of the 12 cards in the deck are consecutive. In a certain game, the number points awarded for each turn is determined by drawing two cards and multiplying the numbers shown on the cards. If the points awarded in three turns are 40, 72, and 60,all of the following could be the smallest numbered card in the deck EXCEPT
(A) -1
(B) 0
(C) 4
(D) 5
(E) 6
(A) -1
(B) 0
(C) 4
(D) 5
(E) 6
02 Apr 2015, 12:07
Kudos
Bookmarks
Hi Turkish,
As wordy and 'layered' as this question looks, if you recognize how the 'restrictions' interact with one another, and pay attention to the answer choices, then you can avoid most of the work.
We're told a number of facts about a game and the cards that you use to play the game:
1) There are 12 cards, each with an integer written on it
2) The integers are consecutive
3) After drawing 2 cards, you multiply the product of the two numbers on the cards
4) The scores 40, 72 and 60 are earned during three turns.
We're asked which of the answers could NOT be the smallest number in the deck.
Let's focus on the number 40....
Since we have to get to the number 40 by using the product of 2 integers that are within "range" of one another (remember there are only 12 integers and they are CONSECUTIVE), there are only a few possible options....
40 =
(1)(40) --> NOT an option, since 1 and 40 are not within 12 integers.
(2)(20) --> NOT an option either
(4)(10) --> This IS an option
(5)(8) --> This IS an option
To get the "40" score, you either need the 4 or the 5....so one or the other or both needs to be on one of the cards.
Thus, there's no way that the 6 can be the smallest card.
Final Answer:
GMAT assassins aren't born, they're made,
Rich
As wordy and 'layered' as this question looks, if you recognize how the 'restrictions' interact with one another, and pay attention to the answer choices, then you can avoid most of the work.
We're told a number of facts about a game and the cards that you use to play the game:
1) There are 12 cards, each with an integer written on it
2) The integers are consecutive
3) After drawing 2 cards, you multiply the product of the two numbers on the cards
4) The scores 40, 72 and 60 are earned during three turns.
We're asked which of the answers could NOT be the smallest number in the deck.
Let's focus on the number 40....
Since we have to get to the number 40 by using the product of 2 integers that are within "range" of one another (remember there are only 12 integers and they are CONSECUTIVE), there are only a few possible options....
40 =
(1)(40) --> NOT an option, since 1 and 40 are not within 12 integers.
(2)(20) --> NOT an option either
(4)(10) --> This IS an option
(5)(8) --> This IS an option
To get the "40" score, you either need the 4 or the 5....so one or the other or both needs to be on one of the cards.
Thus, there's no way that the 6 can be the smallest card.
Final Answer:
GMAT assassins aren't born, they're made,
Rich
02 Apr 2015, 12:15
Kudos
Bookmarks
Turkish
As 40 is the smallest score . Lets check it.
40 can be written as product of 1*40, 2*20, 4*10, 5*8
but given to us is 12 as highest number so only 4*10 or 5*8 combinations are possible. minimum can't be 6.
E
