Data Sufficiency questions are exclusive to the GMAT.

Each Data Sufficiency question poses a question, followed by two statements. Your task is to evaluate the statements to determine at what point there is or is not sufficient information to answer the question.

Unlike the Problem Solving questions, you do not actually have to answer the question posed. Instead, you select one of five fixed answer choices that offer different options about the sufficiency of the information provided in the two statements. 

GMAT Quantitative: Data Sufficiency Practice Test 4

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25 Questions

1. If k is a prime number, what is the value of k? (1) 3k--> is a common factor of 24 and 36. (2) k is a factor of 6.

Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.Each statement ALONE is sufficient to answer the question asked.

2. What is the value of integer k? (1) k2<16--> (2) -60<k3<-20-->

Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.Each statement ALONE is sufficient to answer the question asked.Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.

3. By what percent was the original price of the computer discounted? (1) The original price of the computer is 25 percent greater than the discounted price. (2) The computer’s discounted price is $148 less than the computer’s original price.

Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.Each statement ALONE is sufficient to answer the question asked.

4. If h denotes the hundredths digit of the number X=0.4h8-->, what digit is h? (1) The number X rounded to the nearest tenth is 0.5. (2) The number X rounded to the nearest hundredth is 0.47.

Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.Each statement ALONE is sufficient to answer the question asked.Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.

5. A jar contains 100 glass beads, of which 56 are pink and 44 are blue. If 24 beads are removed from the jar, how many of the beads remaining are blue? (1) After the 24 beads are removed, the number of pink beads remaining in the bag equals the number of blue beads remaining in the bag. (2) Of the beads removed, the ratio of the number of pink beads to the number of blue beads is 3 to 1.

Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.Each statement ALONE is sufficient to answer the question asked.Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.

6. In the parallelogram shown, what is the value of a? (1) a=3b--> (2) a+c=270-->

Each statement ALONE is sufficient to answer the question asked.Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.

7. What is the least positive value of x for which 16+kx2--> is at least 56-->? (1) k=15,400--> (2) 16+900k=13-->

Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.Each statement ALONE is sufficient to answer the question asked.Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.

8. What is the value of a+c-->? (1) The arithmetic average of a and b is 55. (2) The arithmetic average of b and c is 70.

Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.Each statement ALONE is sufficient to answer the question asked.Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.

9. The net proceeds increase as the number of tickets sold increases. Did the net proceeds exceed $80,000 on 7,600 tickets sold? (1) The net proceeds exceeded $40,000 on 4,000 tickets sold. (2) The net proceeds exceeded $100,000 on $7,000 tickets sold.

Each statement ALONE is sufficient to answer the question asked.Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.

10. If x and y are the standard deviations of two different data sets, is x>y-->? (1) x is the standard deviation of the data set 50, 50, 50, 50, 50, 50, 50, 50 50, 50, 50. (2) y is the standard deviation of the data set 40, 42, 44, 46, 48, 50, 52, 54 56, 58, 60.

Each statement ALONE is sufficient to answer the question asked.Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.

11. If m and n are positive integers, is the product mn even? (1) m+1--> is odd. (2) m+n--> is odd.

Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.Each statement ALONE is sufficient to answer the question asked.Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.

12. What will be a certain country’s national debt in 30 days? (1) The country’s national debt increases by $120 million every day. (2) The country’s national debt is currently $50 billion.

Each statement ALONE is sufficient to answer the question asked.Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.

13. At company X, do at least 40 percent of the workers over the age of 40 years have 401(k) accounts? (1) At company X, 16 percent of the workers age 40 years and younger have 401(k) accounts and 29 percent of all workers at the company have 401(k) accounts. (2) At company X, there are more workers age 40 years of age and younger than workers over the age of 40.

Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.Each statement ALONE is sufficient to answer the question asked.Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.

14. The original price of a certain computer has increased. The increase is what percent of the new price? (1) The increase is 25 percent of the original price. (2) The new price of the computer is $1,200.

Each statement ALONE is sufficient to answer the question asked.Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.

15. If X=a22+b23+c25-->, can X=516-->? (1) a, b, and c are each either 0 or 1. (2) The greatest possible value of X is 1332-->.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.Each statement ALONE is sufficient to answer the question asked.Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.

16. What was Hachi’s average number of pages read for 15 days? (1) Hachi read an average of 22 pages during the first 10 days. (2) The average number of pages Hachi read during the first 10 days is two more than twice the average number of pages read for the remainder of the days.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.Each statement ALONE is sufficient to answer the question asked.Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.

17. Both Nayeli and Tristan received raises this year. Which one received the greater percent increase over last year’s salary? (1) Nayeli’s salary increased from $46,000 to $48,300. (2) Tristan’s salary increased by $2,500 over last year’s salary.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.Each statement ALONE is sufficient to answer the question asked.Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.

18. A total of 83 occupants live in a college apartment complex. If there are 40 apartments and each apartment has at least two occupants, how many apartments have more than two occupants? (1) Only one apartment has more than three occupants. (2) The apartment manager lives in one of the apartments with her husband and two children.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.Each statement ALONE is sufficient to answer the question asked.

19. Harper interviewed for a job with company A and with company B. What is the probability that Harper will get job offers from both companies? (1) The probability that Harper will get a job offer from exactly one of the companies is 0.6. (2) The probability that Harper will get a job offer from neither company is 0.1.

Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.Each statement ALONE is sufficient to answer the question asked.Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.

20. If x=a2=3b-->, what is the value of a2-b2-->? (1) x327=-1--> (2) |x|=3-->

Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.Each statement ALONE is sufficient to answer the question asked.Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.

21. What is Makayla’s current age? (1) If Makayla were twice her current age, she would be two years younger than Gilbert is now. (2) In four years, Makayla will be Gilbert’s current age.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.Each statement ALONE is sufficient to answer the question asked.Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.

22. If r is greater than 120 percent of s, is r>70-->? (1) 60<s<80--> (2) r-s=40-->

Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.Each statement ALONE is sufficient to answer the question asked.Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.

23. Does the line defined by y=mx+b--> contain the point (3,1)-->? (1) The line is perpendicular to y=-5x-->. (2) The line contains the point (0,25)-->.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.Each statement ALONE is sufficient to answer the question asked.Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.

24. The total area of the smaller circle is what percent of the total area of the larger circle? (1) The length of the radius of the larger circle is 300 percent longer than the length of the radius of the smaller circle. (2) The ratio of the length of the radius of the larger circle to the length of the radius of the smaller circle is 4 to 1.

Each statement ALONE is sufficient to answer the question asked.Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.

25. A car and a van are traveling at different constant speeds on a straight highway. If the car is now 4 miles ahead of the van, how much time, in hours, will it take for the car to be 10 miles ahead of the van? (1) The car is traveling 70 miles per hour and the truck is traveling 65 miles per hour. (2) One hour ago, the car was 1 mile behind the van.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.Both statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient to answer the question asked.Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.Each statement ALONE is sufficient to answer the question asked.