Question

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

Answer 1

B

Explanation:

since it's multiplication the largest result is the largest integer you have times the second largest integer you have(or itself but not in this case) and the smallest result is the smallest integer you have times the second smallest integer.

so 15 (the smallest result) should be dividable by the smallest integer and 200 (the largest result) should be dividable by the largest integer and if you look at the choices you can see it must be B