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GMAT Quantitative: Data Sufficiency Practice Test 5
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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 5
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25 Questions

1. Is ab--> negative? (1) ab8<0--> (2) a+b8=12-->
2. Machine A, machine B, and machine C, working together at their respective constant rates, can complete a certain job in 24 hours. How many hours would it take machine A, working alone at its constant rate, to complete the same job? (1) Machines B and C, working together at their respective constant rates, can complete the job in 36 hours. (2) Machines A and C, working together at their respective constant rates, can complete the job in 48 hours.
3. If x and y are positive integers, what is the value of x+y-->? (1) xy=36--> (2) yx+6-->
4. A group of 9 teachers from the same middle school went to a teachers’ convention and split up into two groups to attend two different workshops. What percent of the 9 teachers were math teachers? (1) Two math teachers from the group attended the workshop on fractions. (2) Seven teachers from the group attended the workshop on classroom management.
5. If k is an integer such that 224<k<256-->, what is the value of k16-->? (1) k<16--> (2) k is divisible by 16.
6. If a, b, and c are positive integers and a2+b2=c2-->, what is the value of ac-->? (1) a=3--> (2) c=5-->
7. What is the tenth’s digit in the decimal representation of the positive number X? (1) X<12--> (2) X>13-->
8. A large barrel is 14--> full of water. How many gallons of water did Tajiri add to the barrel? (1) The barrel’s capacity is twice as many gallons as Tajiri added. (2) Tajiri added twice as many gallons as were already in the barrel.
9. If m is a positive integer, is m--> an integer? (1) 49m--> is an integer. (2) 7m--> is not an integer.
10. Is x a negative number? (1) -5x99--> is positive. (2) -5x100--> is negative.
11. How many people in a group of 100 own neither a dog nor a cat? (1) The total number of people in the group who own either a dog or a cat or both is less than 100. (2) The total number of people in the group who own both a dog and a cat is 30.
12. Is r+s10--> a positive number? (1) r3>0--> (2) s>0-->
13. If x3=y4-->, what is the value of x? (1) y3=-64--> (2) y2=16-->
14. At the beginning of the summer, swim team A and swim team B each had m members, and no one was a member of both teams. At the end of the summer 6 members left swim team A and 4 members left swim team B. How many members did swim team A have at the beginning of the summer? (1) The ratio of the total number of members who left the two teams at the end of the year to the total number of members at the beginning of the year is 15-->. (2) At the end of the summer 21 members remained on swim team B.
15. In triangle ABC shown what is the value of a2+b2-->?image (1) 2(x+y)=180--> (2) x=y-->
16. Piper bought three shirts. The three shirts cost $210 in total, not including sales tax. What was the cost of the most expensive shirt? (1) One shirt was twice as expensive as exactly one of the other shirts. (2) One shirt cost one-half as much as exactly one of the other shirts.
17. If x, y, and z are three odd integers such that x<y<z-->and x+y+z=45-->, what is the value of z? (1) z-x=4--> (2) x, y, and z are consecutive odd integers.
18. If p, q, and r are positive integers, what is the least possible value of p+q+r-->? (1) p=2q--> (2) 4q=11r-->
19. A total of $5,600 in bonuses was given to three member of the sales team this month. How large was Benjamin’s bonus? (1) Sian and Lin’s bonuses were the same amount. (2) Benjamin’s bonus was 13--> the amount of Sian’s bonus.
20. Does the sum of the prices, not including sales tax, of three chairs exceed $600? (1) The price of the most expensive chair exceeds $300. (2) The price of the least expensive chair exceeds $200.
21. If xy0-->, what is the value of xy-->? (1) xy=3x2--> (2) The ratio of 14x--> to 2y--> is 1 to 24.
22. In a random sample of 160 homeowners in a certain neighborhood, how many of the homeowners have lived in their current home for at least 10 years? (1) In the sample, the number of homeowners who have not lived in their current home for at least 10 years is three times the numbers who have lived in their current home for at least 10 years. (2) In the sample, the number of homeowners who have not lived in their current home for at least 10 years is 80 more than the number who have lived in their current home for at least 10 years.
23. If the sequence G has 100 terms, what is the 51st term of the sequence? (1) The first term of the sequence G is 5. (2) The 7th term of the sequence G is 320, and each term of G after the first is 2 times the preceding term.
24. What is the value of x-6-->? (1) x-2=136--> (2) x6=46,656-->
25. Is x2<y2-->? (1) x2+y2=169--> (2) y-x=7-->