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 2

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25 Questions

1. In a certain neighborhood, 60 percent of the houses have four bedrooms, and 50 percent of the houses are more than 30 years old. If 75 percent of the houses that are more than 30 years old have four bedrooms, how many of the houses 30 years old or under do not have four bedrooms? (1) The neighborhood has 80 houses that do not have four bedrooms. (2) Of the houses having four bedrooms, 25 percent are two-story houses that are more than 30 years old.

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.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.

2. Is the measure of an exterior angle of triangle XYZ equal to 140°-->? (1) The measure of angle Y is 60°-->. (2) The measure of angle Z is 70°-->.

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.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.

3. If n is an integer such that 3≤n≤7-->, what is the unit’s digit of n2-->? (1) (n+1)2--> has units digit 6. (2) (n-1)2--> has units digit 6.

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.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.

4. If N=100x+10y+z--> is a three-digit positive integer, is N divisible by 9? (1) x+y+z=18--> (2) N+432--> is divisible by 9.

Statements (1) and (2) TOGETHER are 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.Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient to answer the question asked.

5. Three integers A, B, and C are in the ratio 2 to 3 to 5, respectively. What is the sum of the three integers? (1) A+B=C--> (2) C-A=24-->

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.

6. Does 5x-3y=0-->? (1) xy=15--> (2) 20x=12y-->

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.

7. If x≠0-->, what is the value of k? (1) 34x+k3x=1x--> (2) kx=2-->

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.Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.

8. What is the value of c+dc-d-->? (1) The ratio of c to d is 5 to 1. (2) 1<c+dc-d<2-->

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.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.

9. Is xy<0-->? (1) -1<x<2--> (2) 3<y<5-->

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.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. In the triangle shown, what is the value x? (1) a=b--> (2) y=65-->

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.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.

11. What is the value of (a5+b5)2-->? (1) a-b=5--> (2) a(a+b)=81-b(b+a)-->

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.Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient to answer the question asked.

12. If k is a positive integer, what is the value of k? (1) k is a prime number less than 5. (2) If f is any positive factor of k, then f+1--> is even.

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.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.

13. The sum of two positive integers is 21. What is the value of the larger integer? (1) The product of the two integers is 104. (2) The larger integer is a prime number.

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.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.

14. Of a faculty of 90 high school teachers, how many have masters degrees? (1) The number of teachers on the faculty who do not have masters degrees is 15--> the number who do have masters degrees. (2) The number of teachers on the faculty who have masters degrees is 60 more than the number who do not have masters degrees.

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.

15. The value of Brie’s heirloom pendant decreased by 50 percent from 2013 to 2015. What was the pendant’s value in 2013? (1) The value of the pendant in 2014 was $3,000. (2) The value of the pendant increased by 25% from 2015 to 2017, resulting in a value of $3,125 at the end of 2017.

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.

16. What is the ratio of r to s? (1) r=3(s+1)--> (2) The ratio of 1.2r to 3.6s is 3 to 2.

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 (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.

17. In the triangle shown, is x>2y-->? (1) y=z--> (2) 0<x<10-->

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.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.

18. If a and b are positive integers, what is the value of a-b-->? (1) 36a2+5a+49b2-5b=(6a)2+(7b)2+20--> (2) a2-b2=8-->

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.

19. A mixture is composed of ingredients A, B, C, and D. How much more (in grams) of ingredient A than ingredient D is in the mixture? (1) The ingredients A, B, C, and D are in the ratio 10:5:4:2, respectively. (2) The amount (in grams) of ingredient B is 4 more than that of ingredient C.

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.Each statement ALONE is sufficient to answer the question asked.

20. Is x>y-->? (1) x=17(9125)--> (2) y=13(9124)-->

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.

21. A truck and a van leave the same location at the same time traveling in opposite directions. In how many hours will the two vehicles be 405 miles apart? (1) The truck travels due east at 70 miles per hour. (2) The van travels due west at 65 miles per hour.

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.

22. A pair of athletic shoes that usually sells for $170 is marked down for a clearance sale. If the sales tax rate is 8 percent, how much does the customer pay for the marked-down shoes, including sales tax? (1) Including sales tax, the customer saves a total of $36.72. (2) The sales tax on the marked-down price is $10.88.

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.

23. What is the average (arithmetic mean) of R, S, and T? (1) R+2S+3T=30--> (2) 3R=90-(2S+T)-->

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.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.

24. If m and n are positive integers such that m+n=9-->, what is the value of mn? (1) 39<3m+5n<43--> (2) 8≤mn≤18-->

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.Statements (1) and (2) TOGETHER are NOT sufficient to answer the question asked.

25. If x2-3x+k=-30-->, what is the value of k? (1) -2--> is an element of the solution set of the given equation. (2) 5 is an element of the solution set of the given equation.

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.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.