Quantitative Questions Problem Solving

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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