Quantitative Questions Problem Solving

Quantitative Questions

Problem Solving

Solve the problem and indicate the best of the answer choices given.

Numbers: All numbers used are real numbers.

Figures: All figures accompanying problem solving questions are intended to

provide information useful in solving the problems. Figures are drawn as

accurately as possible. Exceptions will be clearly noted. Lines shown as

straight are straight, and lines that appear jagged are also straight. The

positions of points, angles, regions, etc., exist in the order shown, and angle

measures are greater than zero. All figures lie in a plane unless otherwise

indicated.

1. Last month a certain music club offered a discount to preferred customers. After

the first compact disc purchased, preferred customers paid $3.99 for each

additional compact disc purchased. If a preferred customer purchased a total of 6

compact discs and paid $15.95 for the first compact disc, then the dollar amount

that the customer paid for the 6 compact discs is equivalent to which of the

following?

(A)

(B)

(C)

(D)

(E)

2. The average (arithmetic mean) of the integers from 200 to 400, inclusive, is how

much greater than the average of the integers from 50 to 100, inclusive?

(A) 150

(B) 175

(C) 200

(D) 225

(E) 300

3. The sequence a1, a2, a3, . . . ,an, . . . is such that for all . If and , what

is the value of a6?

(A) 12

(B) 16

(C) 20

(D) 24

(E) 28

4. Among a group of 2,500 people, 35 percent invest in municipal bonds, 18 percent

invest in oil stocks, and 7 percent invest in both municipal bonds and oil stocks. If

1 person is to be randomly selected from the 2,500 people, what is the probability

that the person selected will be one who invests in municipal bonds but NOT in oil

stocks?

(A)

(B)

(C)

(D)

(E)

5. A closed cylindrical tank contains cubic feet of water and is filled to half its

capacity. When the tank is placed upright on its circular base on level ground, the

height of the water in the tank is 4 feet. When the tank is placed on its side on level

ground, what is the height, in feet, of the surface of the water above the ground?

(A) 2

(B) 3

(C) 4

(D) 6

(E) 9

6. A marketing firm determined that, of 200 households surveyed, 80 used neither

Brand A nor Brand B soap, 60 used only Brand A soap, and for every household

that used both brands of soap, 3 used only Brand B soap. How many of the 200

households surveyed used both brands of soap?

(A) 15

(B) 20

(C) 30

(D) 40

(E) 45

7. A certain club has 10 members, including Harry. One of the 10 members is to be

chosen at random to be the president, one of the remaining 9 members is to be

chosen at random to be the secretary, and one of the remaining 8 members is to be

chosen at random to be the treasurer. What is the probability that Harry will be

either the member chosen to be the secretary or the member chosen to be the

treasurer?

(A)

(B)

(C)

(D)

(E)

8. If a certain toy store’s revenue in November was of its revenue in December and

its revenue in January was of its revenue in November, then the store’s revenue

in December was how many times the average (arithmetic mean) of its revenues in

November and January?

(A)

(B)

(C)

(D) 2

(E) 4

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