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Steve is going to buy an ice-cream sundae. He first must choose 1 of 3 possible ice-cream flavors. Next, he must choose 1 of 2 types of syrup. Finally, he must choose 1 of 6 kinds of candy toppings. Given these conditions, how many different kinds of sundaes could Steve possibly order?

(A)162

(B) 36

(C) 18

(D) 9

(E) 6

The Correct Answer

A teacher takes 5 children on a field trip to a geological museum. As a souvenir, the group receives a bag of stones. When the teacher divides the stones evenly among the children, each child receives exactly 24. If 6 children had been present, how many stones would each child have received?

(A) 15(B) 16(C) 18(D) 20(E) 21

Correct Answer: D

Three different functions are defined in the table below.

The diagram below uses three functions. The only values for p, q, r, s, and t are 1 and 0. Which of the following inputs (p, q, r, s, t) will produce the output 0?

(A) (0,1,1,0,1) (B) (0,1,1,1,1) (C) (0,0,1,0,1) (D) (1,0,1,0,0) (E) (1,0,1,0,1)

Correct Answer: B

A quadrilateral has a perimeter of 36 inches. If the lengths of the sides are 4 consecutive, even integers, what is the length, in inches, of the shortest side?

(A)2 (B) 4 (C) 6 (D) 7 (E) 8

Correct Answer: C

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