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A classroom has 10 tables that will seat up to 4 students each. If 20 students are seated at tables, and NO tables are empty, what is the greatest possible number of tables that could be filled with students?


(B) 3

(C) 2

(D) 1

(E) 0

The Correct Answer

In a geometric sequence, the quotient of any two consecutive terms is the same. If the third term of a geometric sequence is 8 and the fourth term is 16, then what is the second term?

(A)-8 (B) -4 (C) 2 (D) 4 (E) 8

Correct Answer: D

The owners of the Movie Palace use the Illuminator 100 light bulb in their projectors, but are now considering switching to the Illuminator 100 Plus, a more powerful light bulb that projects movies onto larger screens farther away. The Illuminator 100 Plus projects movies onto screens 108 feet wide and 180 feet from the projector, while the Illuminator 100 projects movies onto screens only 81 feet wide, as shown in the figure below. How much farther from the projector, in feet, is the screen for the Illuminator 100 Plus than the screen for the Illuminator 100 ?

(A)27 (B) 40 (C) 45 (D) 50 (E) 55

Correct Answer: C

What is the value of 4 + 3x y when x = 3 and y = -1?

(F) 13 (G) 16 (H) 30 (J) 85 (K) 2,041

Correct Answer: J

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