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If k is the smallest three-digit positive

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If k is the smallest three-digit positive

by saxenarahul021 » Tue Nov 27, 2012 12:12 am
If k is the smallest three-digit positive integer such that the product of its three digits is 144, what is the tens digit of k?

A. 9
B. 8
C. 6
D. 4
E. 3
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by Anurag@Gurome » Tue Nov 27, 2012 12:58 am
saxenarahul021 wrote:If k is the smallest three-digit positive integer such that the product of its three digits is 144, what is the tens digit of k?
144 can be expressed as the product of three single digit positive integers in any of the following ways...
  • 2*8*9
    3*6*8
    4*4*9
    4*6*6
The smallest three digit positive integer that can be formed with any of the above sets of integers is 289.

The correct answer is B.
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