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In a deck of cards, each has a positive integer on it. A

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In a deck of cards, each has a positive integer on it. A [#permalink] New post 01 Feb 2007, 04:15
In a deck of cards, each has a positive integer on it. A multiplication game requires drawing a card and then multiplying the integer on it with the next
largest integer. The products are each between 15 and 200. What are the least and greatest integers on the cards?

Answer: 4 and 13.
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 [#permalink] New post 01 Feb 2007, 06:51
In a deck of cards, each has a positive integer on it. A multiplication game requires drawing a card and then multiplying the integer on it with the next
largest integer. The products are each between 15 and 200. What are the least and greatest integers on the cards?

Answer: 4 and 13.

the least product we can get of two consecutive +ve intigers is 15

3*4 = 12 , 4*5 = 20 then 4*5 qulifies to be in the range , so 4 is the least

14*15 = 210 , 13*14 = 182 then the couple 13, 14 qualifies with 13 to be the maximun intiger that if multiplied by its successor belongs to the range 15 to 200

i hope it is clear
  [#permalink] 01 Feb 2007, 06:51
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In a deck of cards, each has a positive integer on it. A

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