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The number 4 is the smallest positive integer that has exactly three factors: 1, 2, and 4. If kis the next-highest integer that also has exactly three factors, what is the sum of the three factors of k?

(F) 13

(G) 14

(H) 16

(J) 18

(K) 20

The Correct Answer
Explanation

In ABC, the measures of A, B, and C are 2x°, 3x°, and 5x°, respectively. What is the measure of C?

(A)18° (B) 36° (C) 54° (D) 90° (E) 180°

Correct Answer: D

What is the least integer value of x that makes the inequality true?

(A)7 (B) 8 (C) 9 (D) 10 (E) 11

Correct Answer: C

Passes to the Renaissance Faire cost $9 when purchased online and $12 when purchased in person. The group sponsoring the fair would like to make at least $4,000 from sales of passes. If 240 passes were sold online, what is the minimum number of tickets that must be sold in person in order for the group to meet its goal?

(A) 153(B) 154(C) 290(D) 334(E) 445

Correct Answer: B

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