Free and New GMAT Practice Test Sample Questions (1-100) Part 4)
This is my 4rth blog on GMAT free practice questions. In the first blog we saw how to prepare for GMAT. In this blog you will some more practice questions. You can find all answer in red in the middle of blog.
Free and New GMAT Practice Test Sample Questions 61-75
Q 61
A grocer has 400 pounds of coffee in stock, 20 percent of which is decaffeinated. If the grocer buys another 100 pounds of coffee of which 60 percent is decaffeinated, what percent, by weight, of the grocer’s stock of coffee is decaffeinated?
A. 28%
B. 30%
C. 32%
D. 34%
E. 40%
Q 62
If 2 different representatives are to be selected at random from a group of 10 employees and if p is the probability that both representatives selected will be women, is p >1/2?
(1) More than ½ of the 10 employees are women.
(2) The probability that both representatives selected will be men is less than 1/10
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
Q 63
If the population of a certain country is 120,256,000 and its land area is 2,998,000 square Kilometers, then the population per square kilometer is closest to which of the following?
A. 4
B. 6
C. 20
D. 40
E. 60
Q 64
A certain university will select 1 of 7 candidates eligible to fill a position in the mathematics department and 2 of 10 candidates eligible to fill 2 identical positions in the computer science department. If none of the candidates is eligible for a position in both departments, how many different sets of 3 candidates are there to fill the 3 positions?
A. 42
B. 70
C. 140
D. 165
E. 315
Q 65
A.4/3
8 8/3
C. 3
D. 4
E. 6
Q 66
For all integers n, the function f is defined by f (n) = an, where a is a constant. What is
the value of f (1)?
(1) f (2) = 100
(2) f (3) = -1,000
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
Q 67
What is the value of (x - y) 4?
(1) The product of x and y is 7.
(2) x and y are integers.
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
Q 68
Mary persuaded n friends to donate $500 each to her election campaign, and then each of
these n friends persuaded n more people to donate $500 each to Mary’s campaign. If no
one donated more than once and if there were no other donations, what was the value of n?
(1) The first n people donated 1/16 of the total amount donated.
(2) The total amount donated was $120,000.
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
__________________________________________________________________
Maths Answer- Free and New GMAT Practice Test Sample Questions 61-75
61. A
62. E
63. D
64. E
65. D
66. B
67. C
68. D
69. D
70. E
71. B
72. C
73. E
74. D
75. B
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Q 69
When n liters of fuel was added to a tank that was already 1/3 full, the tank was filled to
7/9 of its capacity. In terms of n, what is the capacity of the tank, in liters?
A. 10/9n
B. 4/3 n
C. 3/2n
D. 9/4n
E 3/7n
Q 70
If n is a positive integer, what is the remainder when 3 8n+3 + 2 is divided by 5?
A. 0
B. 1
C. 2
D. 3
E. 4
Q 71
Of all the students in a certain dormitory,1/2 are first-year students and the rest are second-year students. If 4/5of the first-year students have not declared a major and if the fraction of second-year students who have declared a major is 3 times the fraction of first-year students who have declared a major, what fraction of all the students in the dormitory are second-year students who have not declared a major?
A.1/15
B.1/5
C.4/15
D.1/3
E.2/5
Q 72
If p is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which 3k is a factor of p?
A. 10
B. 12
C. 14
D. 16
E. 18
Q 73
If x and y are positive, is x3 > y?
(1) √ x > y
(2) x > y
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
Q 74
Each of the 30 boxes in a certain shipment weighs either 10 pounds or 20 pounds, and average (arithmetic mean) weight of the boxes in the shipment is 18 pounds. If the average weight of the boxes in the shipment is to be reduced to 14 pounds by removing some of the 20-pound boxes, how many 20-pound boxes must be removed?
A. 4
B. 6
C. 10
D. 20
E. 24
Q 75
Tom, Jane, and Sue each purchased a new house. The average (arithmetic mean) price of the three houses was $120,000. What was the median price of the three houses?
(1) The price of Tom’s house was $110,000.
(2) The price of Jane’s house was $120,000.
A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.
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