Free and New GMAT Practice Test Sample Questions (1-100) Part IV

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

 The points R, T, and U lie on a circle that has radius 4. If the length of arc RTU is 4π/3,what is the length of line segment RU?

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

 

___________________________________________________________________

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 3^k 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.

Free and New GMAT Practice Test Sample Questions (1-100) Part IV

Free and New GMAT Practice Test Sample Questions

GMAT Practice Test Sample Questions 61-70

 

This is my 3rd 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 the middle of blog.

Q 61

Which of the following is not a whole number followed by its square?

A.1, 1

B.6, 36

C.8, 64

D.10, 100

E.11, 144

Q 62

Describe the following sequence in mathematical terms. 144, 72, 36, 18, 9

A.Descending arithmetic sequence

B.Ascending arithmetic sequence

C.Descending geometric sequence

D.Ascending geometric sequence

E.Miscellaneous sequence

Q 63

A nurse has to record her temperatures in Celsius but her thermometer reads Fahrenheit. A patient's temperature is 100.7° F. What is the temperature in °C?

A.32° C

B.36.5° C

C.38.2° C

D.213.3° C

E.223.7° C

Q 64

 Art realized that he had 2 more quarters than he had originally thought in his pocket. If all of the change in his pocket is quarters and it totals to $8.75, how many quarters did he originally think were in his pocket?

A.27

B.29

C.31

D.33

E.35

Q 65

There are 12 more apples than oranges in a basket of 36 apples and oranges. How many apples are in the basket?

A.12

B.15

C.24

D.28

E.36

Q 66

 Which of the following correctly identifies 4 consecutive odd integers where the sum of the middle two integers is equal to 24?

A.5, 7, 9, 11

B.7, 9, 11, 13

C.9, 11, 13, 15

D.11, 13, 15, 17

E.13, 15, 17, 19

Q 67

 What is the next number in the sequence? 6, 12, 24, 48, ___

A.72

B.96

C.108

D.112

E.124

Q 68

Which of the following numbers could be described in the following way: an integer that is a natural, rational and whole number?

A.0

B.1

C.2.33

D.-3

E. None of the above

Q 69

 What is the next number in the following pattern? 1, 1/2, 1/4, 1/8, ___

A.1/10

B.1/12

C.1/14

D.1/15

E.1/16

Q 70

Of the following units, which would be most likely to measure the amount of sugar needed in a recipe for 2 dozen cookies

A.degrees Celsius

B.milliliters

C.quarts

D.kilograms

E.cups

Answers & Explanations GMAT Practice Test Sample Questions 61-70

61. E: 112=121, not 144.

62. C: The descending sequence is geometric, with a common ratio of 0.5.

63. C: The conversion formula is: C=(F-32).5/9, where C represents degrees Celsius and F represents degrees Fahrenheit. Substituting 100.7 for F gives: C=(100.7-32).5/9, which simplifies to C=68.7.5/9. Thus, the temperature, in Celsius, is approximately 38.2°.

64. D: The problem may be modeled by the equation, 0.25x = 8.75. Solving for x gives x = 35. Since he thought he had 2 fewer quarters, he originally thought he had 33 quarters in his pocket.

65. C: The problem may be modeled by the following system of equations:(a=o+12@a+o=36). Substituting the expression for a, into the second equation, gives: o + 12 + o = 36. Solving for o gives o = 12. Thus, there are 12 oranges. Since there are 36 apples and oranges in all, there must be 24 apples.

66. C: The sequence, 9, 11, 13, 15, shows all odd integers, which are consecutive. The sum of 11 and 13 is indeed 24.

67. B: The sequence is a geometric sequence, with a common ratio of 2. Two times 48 is 96, thus the next number in the sequence is 96.

68. B: The number, 1, is rational, whole, and natural. A rational number is a number that terminates or repeats. A whole number is represented by the sequence, 0, 1, 2, 3, 4, …, while a natural number is a subset of the whole numbers, and is represented by the sequence, 1, 2, 3, 4,...

69. E: The sequence is a geometric sequence, with a common ratio of 1/2. Multiplication of 1/8 by 1/2 gives 1/16, which is the next number in the sequence.

70. E: The amount of sugar, needed in a cookie recipe, is best measured by the unit of cups, which is an appropriate measure of capacity.