Quantitative of GMAT level 2

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Question 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)

5(4.00) + 15.90

(B)

5(4.00) + 15.95

(C)

5(4.00) + 16.00

(D)

5(4.00 - 0.01) + 15.95

(E)

5(4.00 - 0.05) + 15.90

Question 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

Question 3.

The sequence a1, a2, a3,...,an,... is such that an = \({a_{n - 1} + a_{n - 2}}\over 2\) or all n \(\geq\) 3. If a3 = 4 and a5 = 20 , what is the value of a6 ?

(A)

12

(B)

16

(C)

20

(D)

24

(E)

28

Question 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)

\(9\over 50\)

(B)

\(7\over 25\)

(C)

\(7\over 20\)

(D)

\(21\over 50\)

(E)

\(27\over 50\)

Question 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

Question 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

Question 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)

\(1\over 720\)

(B)

\(1\over 80\)

(C)

\(1\over 10\)

(D)

\(1\over 9\)

(E)

\(1\over 5\)

Question 8.

A researcher computed the mean, the median, and the standard deviation for a set of performance scores. If 5 were to be added to each score, which of these three statistics would change?

(A)

The mean only

(B)

The median only

(C)

The standard deviation only

(D)

The mean and the median

(E)

The mean and the standard deviation

Question 9.

Of the three-digit integers greater than 700, how many have two digits that are equal to each other and the remaining digit different from the other two?

(A)

90

(B)

82

(C)

80

(D)

45

(E)

36

Question 10.

Positive integer y is 50 percent of 50 percent of positive integer x, and y percent of x equals 100. What is the value of x ?

(A)

50

(B)

100

(C)

200

(D)

1000

(E)

2000

Question 11.

If s and t are positive integers such that \(s\over t\)= 64.12,which of the following could be the remainder when s is divided by t ?

(A)

2

(B)

4

(C)

8

(D)

20

(E)

45

Question 12.

Of the 84 parents who attended a meeting at a school, 35 volunteered to supervise children during the school picnic and 11 volunteered both to supervise children during the picnic and to bring refreshments to the picnic. If the number of parents who volunteered to bring refreshments was 1.5 times the number of parents who neither volunteered to supervise children during the picnic nor volunteered to bring refreshments, how many of the parents volunteered to bring refreshments?

(A)

25

(B)

36

(C)

38

(D)

42

(E)

45

Question 13.

The product of all the prime numbers less than 20 is closest to which of the following powers of 10 ?

(A)

109

(B)

108

(C)

107

(D)

106

(E)

105

Question 14.

If \(\sqrt {3- 2x}\) = \(\sqrt{2x}\) + 1, then 4x2

(A)

1

(B)

4

(C)

2 - 2x

(D)

4x - 2

(E)

6x - 1

Question 15.

If n = \(\sqrt{16\over 81}\), what is the value of \(\sqrt n\)?

(A)

\(1\over 9\)

(B)

\(1\over 4\)

(C)

\(4\over 9\)

(D)

\(2\over 3\)

(E)

\(9\over 2\)

Question 16.

If n is the product of the integers from 1 to 8, inclusive, how many different prime factors greater than 1 does n have?

(A)

4

(B)

5

(C)

6

(D)

7

(E)

8

Question 17.

If k is an integer and 2 < k < 7 , for how many different values of k is there a triangle with sides of lengths 2, 7, and k?

(A)

one

(B)

two

(C)

three

(D)

four

(E)

five

Question 18.

A right circular cone is inscribed in a hemisphere so that the base of the cone coincides with the base of the hemisphere. What is the ratio of the height of the cone to the radius of the hemisphere?

(A)

\(\sqrt 3\) : 1

(B)

1 : 1

(C)

\(1\over 2\) : 1

(D)

\(\sqrt 2\) : 1

(E)

2 : 1

Question 19.

John deposited $10,000 to open a new savings account that earned 4 percent annual interest, compounded quarterly. If there were no other transactions in the account, what was the amount of money in John’s account 6 months after the account was opened?

(A)

$10,100

(B)

$10,101

(C)

$10,200

(D)

$10,201

(E)

$10,400

Question 20.

A container in the shape of a right circular cylinder is \(1\over 2\) full of water. If the volume of water in the container is 36 cubic inches and the height of the container is 9 inches, what is the diameter of the base of the cylinder, in inches?

(A)

\(16\over 9\pi\)

(B)

\(4\over {\sqrt \pi}\)

(C)

\(12\over \sqrt \pi\)

(D)

\(\sqrt {2\over \pi}\)

(E)

4\(\sqrt {2\over \pi}\)

Question 21.

If the positive integer x is a multiple of 4 and the positive integer y is a multiple of 6, then xy must be a multiple of which of the following?

I.8

II. 12

III. 18

 

(A)

I only

(B)

I and II only

(C)

I and III only

(D)

II and III only

(E)

I, II and III

Question 22.

Aaron will jog from home at x miles per hour and then walk back home by the same route at y miles per hour. How many miles from home can Aaron jog so that he spends a total of t hours jogging and walking?

(A)

\(xt\over y\)

(B)

\({x + t}\over xy\)

(C)

\(xyt\over {x + y}\)

(D)

\({x + y + t}\over xy\)

(E)

\({y + t}\over x\) - \(t\over y\)

Question 1    Question 2    Question 3    Question 4    Question 5    Question 6    Question 7    Question 8    Question 9    Question 10    Question 11    Question 12    Question 13    Question 14    Question 15    Question 16    Question 17    Question 18    Question 19    Question 20    Question 21    Question 22   
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