SOLUTION: The product of two integers is between 102 and 115 . Which of the following cannot be one of the integers? (A) 5 (B) 10 (C) 12 (D)15 (E)20

Algebra ->  Problems-with-consecutive-odd-even-integers -> SOLUTION: The product of two integers is between 102 and 115 . Which of the following cannot be one of the integers? (A) 5 (B) 10 (C) 12 (D)15 (E)20       Log On


   

Question 304740: The product of two integers is between 102 and 115 . Which of the following cannot be one of the integers?
(A) 5 (B) 10 (C) 12 (D)15 (E)20

Answer by Theo(13342) About Me  (Show Source):
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It's probably 20 because 20 will not allow you to get anything that is not a multiple of 20.

102 is not a multiple of 20 and 115 is not a multiple of 20.

All of the others will allow you to get in the range.

5 * 21 = 105
10 * 11 = 110
12 * 9 = 108
15 * 7 = 105
20 * 5 = 100 which is out of range.
20 * 6 = 120 which is out of range.

Answer is selection E (20).