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Quantitative of GMAT level 3

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; Subject: ; Class: ; with 37 questions; test in 75 minutes; update 01/10/2018
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Subjects Update 01/10/2018
Class Number of questions 37
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Question 1.

A project scheduled to be carried out over a single fiscal year has a budget of $12,600, divided into 12 equal monthly allocations. At the end of the fourth month of that fiscal year, the total amount actually spent on the project was $4,580. By how much was the project over its budget?

(A)

$ 380

(B)

$ 540

(C)

$1,050

(D)

$1,380

(E)

$1,430

Question 2.

For which of the following values of n is \(100 + n\over n\) NOT an integer?

(A)

1

(B)

2

(C)

3

(D)

4

(E)

5

Question 3.

Rectangular Floors X and Y have equal area. If Floor X is 12 feet by 18 feet and Floor Y is 9 feet wide, what is the length of Floor Y, in feet?

(A)

13\(1\over 2\)

(B)

18

(C)

18\(3\over 4\)

(D)

21

(E)

24

Question 4.

A case contains c cartons. Each carton contains b boxes, and each box contains 100 paper clips. How many paper clips are contained in 2 cases?

(A)

100bc

(B)

\(100b\over c\)

(C)

200bc

(D)

\(200b\over c\)

(E)

\(200\over bc\)

Question 5.

The sum of prime numbers that are greater than 60 but less than 70 is

(A)

67

(B)

128

(C)

191

(D)

197

(E)

260

Question 6.

A rainstorm increased the amount of water stored in State J reservoirs from 124 billion gallons to 138 billion gallons. If the storm increased the amount of water in the reservoirs to 82 percent of total capacity, approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm?

(A)

9

(B)

14

(C)

25

(D)

30

(E)

44

Question 7.

When \(1\over 10\) percent of 5,000 is subtracted from \(1\over 10\) of 5,000, the difference is

(A)

0

(B)

50

(C)

450

(D)

495

(E)

500

Question 8.

Which of the following is the value of \(\sqrt {\sqrt[3]{0.000064}}\)

(A)

0.004

(B)

0.008

(C)

0.02

(D)

0.04

(E)

0.2

Question 9.

Raffle tickets numbered consecutively from 101 through 350 are placed in a box. What is the probability that a ticket selected at random will have a number with a hundreds digit of 2 ?

(A)

\(2\over 5\)

(B)

\(2\over 7\)

(C)

\(33\over 83\)

(D)

\(99\over 250\)

(E)

\(100\over 249\)

Question 10.

When Leo imported a certain item, he paid a 7 percent import tax on the portion of the total value of the item in excess of $1,000. If the amount of the import tax that Leo paid was $87.50, what was the total value of the item?

(A)

$1,600

(B)

$1,850

(C)

$2,250

(D)

$2,400

(E)

$2,750

Question 11.

The numbers of cars sold at a certain dealership on six of the last seven business days were 4, 7, 2, 8, 3, and 6, respectively. If the number of cars sold on the seventh business day was either 2, 4, or 5, for which of the three values does the average (arithmetic mean) number of cars sold per business day for the seven business days equal the median number of cars sold per day for the seven days?
I. 2
II. 4
III. 5

(A)

II only

(B)

III only

(C)

I and II only

(D)

II and III only

(E)

I, II and III

Question 12.

A rectangular garden is to be twice as long as it is wide. If 360 yards of fencing, including the gate, will completely enclose the garden, what will be the length of the garden, in yards?

(A)

120

(B)

140

(C)

160

(D)

180

(E)

200

Question 13.

At a supermarket, John spent \(1\over 2\) of his money on fresh fruits and vegetables, \(1\over 3\) on meat products, and \(1\over 10\) on bakery products. If he spent the remaining $6 on candy, how much did John spend at the supermarket?

(A)

$60

(B)

$80

(C)

$90

(D)

$120

(E)

$180

Question 14.

On Monday, a person mailed 8 packages weighing an average (arithmetic mean) \(12{3\over 8}\) of pounds, and on Tuesday, 4 packages weighing an average of \(15{1\over 4}\) pounds. What was the average weight, in pounds, of all the packages the person mailed on both days?

(A)

\(13{1\over 3}\)

(B)

\(13{13\over 16}\)

(C)

\(15{1\over 2}\)

(D)

\(15{15\over 16}\)

(E)

\(16{1\over 2}\)

Question 15.

0.1 + (0.1)2 + (0.1)3 = 

(A)

0.1

(B)

0.111

(C)

0.1211

(D)

0.2341

(E)

0.3

Question 16.

A carpenter constructed a rectangular sandbox with a capacity of 10 cubic feet. If the carpenter were to make a similar sandbox twice as long, twice as wide, and twice as high as the first sandbox, what would be the capacity, in cubic feet, of the second sandbox?

(A)

20

(B)

40

(C)

60

(D)

80

(E)

100

Question 17.

A bakery opened yesterday with its daily supply of 40 dozen rolls. Half of the rolls were sold by noon, and80 percent of the remaining rolls were sold between noon and closing time. How many dozen rolls had not been sold when the bakery closed yesterday?

(A)

1

(B)

2

(C)

3

(D)

4

(E)

5

Question 18.

What is the 25th digit to the right of the decimal point in the decimal form of \(6\over 11\)?

(A)

3

(B)

4

(C)

5

(D)

6

(E)

7

Question 19.

150 is what percent of 30 ?

(A)

5%

(B)

20%

(C)

50%

(D)

200%

(E)

500%

Question 20.

The ratio 2 to \(1\over 3\) is equal to the ratio

(A)

6 to 1

(B)

5 to 1

(C)

3 to 2

(D)

2 to 3

(E)

1 to 6

Question 21.

Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

(A)

648

(B)

1,800

(C)

2,700

(D)

10,800

(E)

64,800

Question 22.

Of the 50 researchers in a workgroup, 40 percent will be assigned to Team A and the remaining 60 percent to Team B. However, 70 percent of the researchers prefer Team A and 30 percent prefer Team B. What is the lowest possible number of researchers who will NOT be assigned to the team they prefer?

(A)

15

(B)

17

(C)

20

(D)

25

(E)

30

Question 23.

If n is a prime number greater than 3, what is the remainder when n2 is divided by 12 ?

(A)

0

(B)

1

(C)

2

(D)

3

(E)

5

Question 24.

\({1\over {1 + {1\over 3}}}\) - \({1\over {1 + {1\over 2}}}\) = 

(A)

-\(1\over 3\)

(B)

-\(1\over 6\)

(C)

-\(1\over 12\)

(D)

\(1\over 12\)

(E)

\(1\over 3\)

Question 25.

A rope 40 feet long is cut into two pieces. If one piece is 18 feet longer than the other, what is the length, in feet, of the shorter piece?

(A)

9

(B)

11

(C)

18

(D)

22

(E)

29

Question 26.

A student’s average (arithmetic mean) test score on 4 tests is 78. What must be the student’s score on a 5th test for the student’s average score on the 5 tests to be 80 ?

(A)

80

(B)

82

(C)

84

(D)

86

(E)

88

Question 27.

Lucy invested $10,000 in a new mutual fund account exactly three years ago. The value of the account increased by 10 percent during the first year, increased by 5 percent during the second year, and decreased by 10 percent during the third year. What is the value of the account today?

(A)

$10,350

(B)

$10,395

(C)

$10,500

(D)

$11,500

(E)

$12,705

Question 28.

If the quotient \(a\over b\) is positive, which of the following must be true? 

(A)

a > 0

(B)

b > 0

(C)

ab > 0

(D)

a - b > 0

(E)

a + b > 0

Question 29.

The dots on the graph above indicate the weights and fuel efficiency ratings for 20 cars. How many of the cars weigh more than 2,500 pounds and also get more than 22 miles per gallon?

(A)

3

(B)

5

(C)

8

(D)

10

(E)

11

Question 30.

How many minutes does it take John to type y words if he types at the rate of x words per minute?

(A)

\(x\over y\)

(B)

\(y\over x\)

(C)

xy

(D)

\(60x\over y\)

(E)

\(y\over 60x\)

Question 31.

\({\sqrt{(16)(20) + (8)(32)}}\) = ?

(A)

4\(\sqrt{20}\)

(B)

24

(C)

25

(D)

4\(\sqrt{20}\) + 8\(\sqrt2\)

Question 32.

Which of the following equations is NOT equivalent to
   10y2 = (x + 2)(x – 2) ?

(A)

30y2 = 3x2 - 12

(B)

20y2 = (2x - 4)(x + 2)

(C)

10y2 + 4 = x2

(D)

5y2 = x2 - 2

(E)

y2 = \({x^2 - 4}\over 10\)

Question 33.

If Juan takes 11 seconds to run y yards, how many seconds will it take him to run x yards at the same rate?

(A)

\(11x\over y\)

(B)

\(11y\over x\)

(C)

\(x\over 11y\)

(D)

\(11\over xy\)

(E)

\(xy\over 11\)

Question 34.

John has 10 pairs of matched socks. If he loses 7 individual socks, what is the greatest number of pairs of matched socks he can have left?

(A)

7

(B)

6

(C)

5

(D)

4

(E)

3

Question 35.

What is the lowest positive integer that is divisible by each of the integers 1 through 7, inclusive?

(A)

420

(B)

840

(C)

1260

(D)

2520

(E)

5040

Question 36.

\(1\over {0.75 - 1 }\) =

(A)

-4

(B)

-0.25

(C)

0.25

(D)

0.75

(E)

4

Question 37.

If \(1.5\over {0.2 + x }\) = 5, then x = 

(A)

-3.7

(B)

0.1

(C)

0.3

(D)

0.5

(E)

2.8

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    Question 23    Question 24    Question 25    Question 26    Question 27    Question 28    Question 29    Question 30    Question 31    Question 32    Question 33    Question 34    Question 35    Question 36    Question 37   
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