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Problem Solving Butler: February 2025
February 3PS 1PS 2

________________________
PS 1

The positive integer P is divisible by 42. The product P x Q is divisible by 180. Which of the following must be a factor of P x Q?

A. 16
B. 27
C. 49
D. 144
E. 630
________________________
PS 2

50! + 77 is a multiple of which of the following?

I. 11
II. 7
III. 3

A. I, II, and III
B. I and II
C. I and III
D. I only
E. None of these
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