79 Questions
| Attempts: 5613

This is a GMAT quantitative diagnostic test: Exam 1.

Questions and Answers

- 1.When tossed, a certain coin has an equal chance of landing on either side. If the coin is tossed 4 times, what is the probability that it will land on the same side each time?
- A.
- B.
- C.
- D.
- E.

- 2.There are 6 pairs of balls with each pair in a different color. If we select 2 from the 12 balls without replacement, what’s the probability of selecting 2 balls with the same color?
- A.
- B.
- C.
- D.
- E.

- 3.A glass was filled with 10 ounces of water, and 0.01 ounce of the water evaporated each day during a twenty-day period. What percent of the original amount of water evaporated during this period?
- A.
0.002%

- B.
0.02%

- C.
0.2%

- D.
2%

- E.
20%

- 4.If x and y are integers and x > 0, is y > 0? (1) 7x – 2y > 0 (2) -y < x
- 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.

- 5.Each week a certain salesman is made a fixed amount equal to $300 plus a commission equal to 5 percent of the amount of these sales that week over $1,000. What is the total amount the salesman was paid last week? (1) The total amount the salesman was paid last week is equal to 10 percent of the amount of these sales last week. (2) The salesman’s sales last week total $5,000.
- 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.

- 6.If S is a set of ten consecutive integers, is the integer 5 in S? (1) The integer –3 is in S. (2) The integer 4 is in S.
- 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.

- 7.Is xy > x2y2? (1) 14x2 = 3 (2) y2 = 1
- 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.

- 8.Is x2 + y2 > 6? (1) (x + y)2 > 6 (2) xy = 2
- 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.

- 9.If s4v3x7 < 0, is svx < 0? (1) v < 0 (2) x > 0
- 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.

- 10.Is += 1 ? (1) x 0 (2) x 1
- 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.

- 11.Is is > 0 ? (1) (2)
- 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.

- 12.Each of the 45 boxes on shelf J weighs less than each of the 44 boxes on shelf K. What is the median weight of the 89 boxes on these shelves? (1) The heaviest box on shelf J weighs 15 pounds. (2) The lightest box on shelf K weighs 20 pounds.
- 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.

- 13.What is the total value of Company H&rsquos stock? (1) Investor P owns of the shares of Company H&rsquos total stock. (2) The total value of Investor Q&rsquos shares of Company H&rsquos stock is $16000.
- 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.

- 14.If what is the value of ? (1) (2)
- 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.

- 15.If the length of a certain rectangle is 2 greater than the width of the rectangle, what is the perimeter of the rectangle? (1) The length of each diagonal of the rectangle is 10. (2) The area of the rectangular region is 48.
- 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.

- 16.If n and k are positive integers is an even integer? (1) n is divisible by 8. (2) k is divisible by 4.
- 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.

- 17.If M is the least common multiple of 90, 196, and 300, which of the following is NOT a factor of M?
- A.
600

- B.
700

- C.
900

- D.
2,100

- E.
4,900

- 18.In a survey of 200 college graduates, 30 percent said they had received student loans during their college careers, and 40 percent said they had received scholarships. What percent of those surveyed said that they had received neither student loans nor scholarships during their college careers? (1) 25 percent of those surveyed said that they had received scholarships but no loans. (2) 50 percent of those surveyed who said that they had received loans also said that they had received scholarships.
- 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.

- 19.In a poll involving two yes- or no-questions, all the people who were asked the two questions answered “yes” or “no”. If 75 percent of these people answered “yes” to the first question, 55 percent of the people answered “yes” to the second question, and 20 percent of the people answered “no” to both questions, what percentage of the people answered “yes” to both questions?
- A.
70%

- B.
50%

- C.
25%

- D.
20%

- E.
10%

- 20.One day Hotel Merinda rented 75 percent of its rooms, including of its luxury rooms. If 60 percent of Hotel Merinda’s rooms are luxury rooms, what percent of the rooms that were
__NOT__rented are luxury rooms?- A.
80%

- B.
40%

- C.
30%

- D.
33.33%

- E.
10%

- 21.2x + y = 12 &le 12 For how many ordered pairs (x y) that are solutions of the system above are x and y both integers?
- A.
7

- B.
10

- C.
12

- D.
13

- E.
14

- 22.Mary walked from home to work in the morning at an average speed of 3 miles per hour. She returned in the evening taking the same route running an average speed of 6 miles per hour. What was her average speed, in miles per hour, for the whole journey to and from work?
- A.
3.5

- B.
4

- C.
4.5

- D.
5

- E.
5.5

- 23.Pierre is driving 50 miles per hour for the first 20 miles of a 40-mile trip. What must be his average speed in the remaining 20 miles in order for his total average speed to be 60 miles per hour?
- A.
60

- B.
65

- C.
70

- D.
75

- E.
80

- 24.In how many different ways can a chairperson and a secretary be selected from a committee of 9 people?
- A.
24

- B.
36

- C.
72

- D.
80

- E.
120

- 25.On Saturday morning, Malachi will begin a camping vacation and he will return home at the end of the first day on which it rains. If on the first three days of the vacation the probability of rain on each day is 0.2, what is the probability that Malachi will return home at the end of the day on the following Monday?
- A.
0.008

- B.
0.128

- C.
0.488

- D.
0.512

- E.
0.640

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