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Re: Each card in a deck has an integer written on it, and the integers on [#permalink]
Carcass wrote:
Quote:
In the space of the 12 consecutive integers on the cards, you must be able to multiply two of them and get 40, two others and get 72, and two others and get 60. (There can be overlap.) So, determine which numbers you could use to get each of those numbers:
40: 4 and 10, 5 and 8 (1 and 40, and 2 and 20 are too far apart)
72: 6 and 12, 8 and 9
60: 4 and 15, 5 and 12, 6 and 10
Due to 40, there must be at least one number in the deck that is 5 or lower. While, due to 72, one number must be 6 or higher. So, the correct answer is (E), 6: if the smallest numbered card is 6, there’s no way for two of the cards to multiply to 40.



Sir, answer should be 0 ? because any number * 0 = 0, and we have been given 3 non-zero products.
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Re: Each card in a deck has an integer written on it, and the integers on [#permalink]
Hi Carcass,

Why is it not zero?

Thanks,
Simran
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Re: Each card in a deck has an integer written on it, and the integers on [#permalink]
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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.
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Re: Each card in a deck has an integer written on it, and the integers on [#permalink]
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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
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Re: Each card in a deck has an integer written on it, and the integers on [#permalink]
but how can 0 be the smallest number ? Since 0*anything =0 and we have non zero values in the question.
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Re: Each card in a deck has an integer written on it, and the integers on [#permalink]
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