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didieravoaka
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DavidG@VeritasPrep
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Play with the answer choices. Say we test B. If the smallest card were 3, and the game involves multiplying the card by the next integer, we'd multiply 3 by 4, and get 3*4 =12. But we know every possible product is between 15 and 200. 12 isn't in that range, so 3 can't be the smallest card in the deck.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 with the next large integer. If the each possible product is between 15 and 200, then the least and greatest integer on the card would be
A) 3 and 15
B) 3 and 20
C) 4 and 13
D) 4 and 14
E) 5 and 14
Say we test D. If the largest card were 14, when we multiply that by the next integer, 15, we get 14*15 = 210. 210 isn't between 15 and 200, so D is out.
Test C. If 4 is the smallest, 4*5 = 20. That's in the range. If 13 is the largest, 13*14 = 182. That's in the range. C is correct.
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GMATGuruNY
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We can PLUG IN THE ANSWERS, which represent the least and greatest integers on the cards.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 15 and 200, then the least and greatest integers on the cards could be
A. 3 and 15
B. 3 and 20
C. 4 and 13
D. 4 and 14
E. 5 and 14
D: least = 4, greatest = 14
(14)(next larger integer) = 14*15 = 210.
Too big, since each possible product must be less than 200.
Implication:
The greatest integer must be LESS THAN 14.
Eliminate A, B, D and E.
The correct answer is C.
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Hi didieravoaka,
Since the answers to this question are numbers, I'm going to TEST THE ANSWERS.
We're told that, after drawing a card, you must multiply the number on the card by the next larger integer and end up with a number between 15 and 200. We're asked for the smallest and largest possible numbers on the cards.
IF the number was 3, then...
3(4) = 12, which is NOT between 15 and 200. Eliminate A and B.
IF the number was 4, then...
4(5) = 20, which IS between 15 and 200. Eliminate E.
Now, on to the biggest number:
IF the number was 13, then...
13(14) = 182
IF the number was 14, then...
14(15) = 210
So, 14 is TOO BIG.
Final Answer: C
GMAT assassins aren't born, they're made,
Rich
Since the answers to this question are numbers, I'm going to TEST THE ANSWERS.
We're told that, after drawing a card, you must multiply the number on the card by the next larger integer and end up with a number between 15 and 200. We're asked for the smallest and largest possible numbers on the cards.
IF the number was 3, then...
3(4) = 12, which is NOT between 15 and 200. Eliminate A and B.
IF the number was 4, then...
4(5) = 20, which IS between 15 and 200. Eliminate E.
Now, on to the biggest number:
IF the number was 13, then...
13(14) = 182
IF the number was 14, then...
14(15) = 210
So, 14 is TOO BIG.
Final Answer: C
GMAT assassins aren't born, they're made,
Rich
