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
We can PLUG IN THE ANSWERS, which represent the least and greatest integers on the cards.
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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