All GMAT Prep Problem Solving (PS) and Data Sufficiency (DS) questions

DATA SUFFICIENCY

PART 1 (217 QUESTIONS)

SUB-600

1. A garden store purchased a number of shovels and a number of rakes. If
2. Is the product of a certain pair of integers even?
3. If K is an integer and 2 < K < 8, what is the value of K ?
4. On the number line above, is the product of w, x, y and z negative?
5. If y and z are integers, is y*(z + 1) odd? (1) y is odd (2)
6. If x is a positive integer, is x<16?
7. Of the 25 cars sold at a certain dealership yesterday, some had automa
8. Is x to the right of -5 on the number line?
9. Is y between -2 and 1 on the number line?
10. Is r to the right of -6 on the number line?
11. At a certain restaurant, if each hamburger costs the same am
12. What is the value of n?
13. In a certain conference room each row of chairs has the same number of
14. What is the price for a certain meal listed on a menu? (1) The total
15. What is the value of 6x - 10 ? (1) 3x - 5 = 16 (2) 12x - 10 = 74
16. At a refreshment stand, each can of soda sells for the same price and
17. If x = 1/2, is y equal to 1? (1) y^2(x + 1/2) = 1 (2) y(2x - 1) = 2x
18. For the students in class A, the range of their heights is r centimete
19. Beth's bank charges a service fee on a regular checking account for ea
20. How many hours did it take Helen to drive from her house to her parent
21. Last Friday each of the pets at a certain veterinary clinic was given
22. Does x + y = 5 ? (1) 4x + y = 17 (2) x + 4y = 8
23. What is the total value of Company H's stock?
24. Is x-y+1 greater than x+y-1 ?
25. During a sale, for each shirt that Mark purchased at the regular price
26. What is the remainder when the positive integer x is divided by 3 ?
27. What was the percent increase in the population of City K from 1980 to
28. In isosceles triangle RST what is the measure of angle R?
29. In the finite sequence of positive integers K1, K2, K3, ..., K9, each
30. Is x + y negative? (1) x is negative. (2) y is positive.
31. Is the integer x divisible by 6?
32. In the figure above, if x and y are each less than 90 and PS
33. A bookstore that sells used books sells each of its paperbac
34. If x and y are integers, what is the value of x+y?
35. Is x less than 20?
36. Is the integer k divisible by 4 ? (1) 8k is divisible by 16. (2) 9k is
37. For each customer, a bakery charges p dollars for the first loaf of
38. If the terms of a sequence are t1, t2, t3, ..., tn, what is the value
39. If x is a negative number, what is the value of x?
40. Is |x| > |y|? (1) x^2 > y^2 (2) x > y
41. If u, v, and w are integers, is u > 0 ?
42. If p is a prime number greater than 2, what is the value of p ?
43. Is k positive? (1) k is between -2 and 3 on the number line. (2) k is
44. In the figure above, segments PQ and PR are each parallel to one of th
45. What is the retail price of a certain calculator? (1) The retail pri
46. What is the remainder when the positive integer n is divided by 6?
47. Is the integer r divisible by 3?
48. What is the value of y ? (1) y is an odd integer between 28 and 34.
49. What is the value of 5x^2 + 4x - 1 ? (1) x(x + 2) = 0 (2) x = 0
50. If M is a finite set of negative integers, is the total number of inte
51. A certain bag contains red, blue, and green marbles. What is the ratio
52. What is the value of x ? (1) y - x = y - 6 (2) x + 2y = 10
53. What is the number of members of Club X who are at least 35
54. If xy = -18, is x less than y? (1) x < 0 (2) y < 10
55. An insurance company has a contract with a medical laboratory to pay a
56. If P, Q, and R are points on the number line, what is the di
57. If x is positive, what is the value of y ?
58. How many of the students in a certain class are taking both a history
59. If integer p is greater than 1, is p a prime number?
60. A certain company divides its total advertising budget into
61. S is a finite set of numbers. Does S contain more negative numbers tha
62. On the number line, if the number k is to the left of the number t, is
63. If l and k are lines in the xy-plane, is the product of the slopes of
64. An attorney charged a fee for estate planning services for a certain
65. If x is an integer, is (x^2+1)(x+5) an even number?
66. A certain theater has a total of 884 seats, of which 500 are
67. At a certain pet shop, 1/3 of the pets are dogs and 1/5 of the pets
68. If the symbol @ represents either addition or multiplication, which op
69. Is x > 0.05? (1) x > 3/40 (2) x is greater than 3 percent of 50
70. A wooden rod is cut into two pieces. What is the length of the longer
71. A store sells milk in cartons of two sizes, one-half gallon and one-qu
72. In the xy-coordinate plane, the slope of line l is 3/4. Does line l pa
73. If N is a positive Integer, is the units digit of N equal to zero?
74. If x and y are positive integers, what is the value of xy?
75. A manufacturer conducted a survey to determine how many peop
76. Is x between 0 and 1? (1) x is between -1/2 and 3/2 (2) 3/4 is 1/4
77. Is p + pz = p? (1) p = 0 (2) z = 0
78. If the product of the three digits of the positive integer k is 14, wh
79. The attendees at a certain convention purchased a total of 15,000 book
80. If x and y are positive integers,what is the value of x + y?
81. What is the value of h ? (1) h^2 = 36 (2) h^2 + 12h = -36
82. Janson's salary and Karen's salary were each p percent
83. Of the 1,000 companies responding to a certain survey, what percent in
84. If p is a positive integer, what is the value of p?
85. Is y < 2x ? (1) y/4 < x/2 (2) (y - 2x)/3 <0
86. Is x > y? (1) x + y < 0 (2) x - y > 0
87. This morning, a certain sugar container was full. Since then some of
88. If a and b are positive numbers, what are the coordinates of
89. Is 4z > -6 ? (1) z < 7 (2) z > -1

600-700

1. How many different prime numbers are factors of the positive integer n?
2. If n and m are positive integers, what is the remainder when 3^(4n+2)
3. Of the 800 students at a certain college, 250 students live on campus
4. Lines n and p lie in the xy-plane. Is the slope of line n less than the
5. What is the hundredths digit of the decimal z?
6. Is z equal to the median of the three positive integers, x, y, and z?
7. If a certain charity collected a total of 360 books, videos
8. Of the 800 sweaters in a certain store, 150 are red. How
9. Which of Company X and Company Y earned the greater gross profit last
10. Is w greater than 1? (1) w + 2 > 0 (2) w^2 > 1
11. Al, Pablo, and Marsha shared the driving on a 1,500-mile trip. Which
12. During an experiment, some water was removed from each of
13. When 1,000 children were inoculated with a certain vaccine,
14. If r and s are positive integers, is r/s an integer?
15. John and Mary own shares of stock in a certain company. Does
16. Each person in a certain group supports only one of two cand
17. In the xy-plane, at what two points does the graph of y=(x+a)(x+b)
18. How many of the 42 people in a group are employed students?
19. Is m ≠ n ? (1) m + n < 0 (2) mn < 0
20. If the average (arithmetic mean) of four different numbers is 30, how
21. If wx = y, then what is the value of xy?
22. Malik's recipe for 4 servings of a certain dish requires 3/2
23. During a sale, a clothing store sold each shirt at a price of $15 and
24. Ann deposited money into two new accounts, A and B. Account A earns 5
25. The cost of delivery for an order of desk chairs was $10.00 for the fi
26. What is the tens digit of the positive integer r?
27. What is the average (arithmetic mean) of eleven consecutive
28. If n is an integer between 10 and 99, is n < 80?
29. In the figure above, what is the ratio KN/MN?
30. Each of the students in a certain class received a single grade of P
31. What is the greatest common divisor of positive integers m and n ?
32. If m > 0 and n > 0, is (m + x)/(n + x) > m/n?
33. In the rectangular coordinate system shown above, does the
34. If the sum of the three different numbers is 54, what is the largest
35. What was Jean's insurance premium in 1995 ?
36. A combined of 55 light bulbs are stored in two boxes; of these, a total
36. Three friends rented a car for a week and divided the cost equally. Wh
37. R = 1 + 2xy + x^2y^2, what is the value of xy?
38. If x, y, and z are positive integers, what is the remainder when 100x
39. Each person attending a fund-raising party for a certain club was
40. For a certain set of n numbers, where n > 1, is the average (arithmeti
41. Pat bought 5 pounds of apples. How many pounds of pears could he have
42. The sequence a1, a2, a3, ..., an of n integers is such that ak = k if
43. The point A, B, C, and D are on the number line, not necessa
44. Is (x + 1)/(x - 3) < 0 ? (1) -1 < x < 1 (2) x^2 - 4 < 0
45. In the sequence of positive numbers x1, x2, x3, ..., what is the value
46. At a certain company, average (arithmetic mean)number of
47. During a one day sale, a store sold each sweater of a certain type for
48. An integer grater than 1 that is not prime is called composite. If the
49. To fill an order, a manufacturer had to produce 1000 tools per day for
50. If x is a positive integer, what is the least common multiple of x, 6
51. If m, r, x and y are positive, the ratio of m to r equal to the ratio
52. If a, b, k, and m are positive integers, is a^k a factor of b^m?
53. If xyz > 0, is x > 0? (1) xy > 0 (2) xz > 0
54. If n is a positive integer and r is the remainder when 4 + 7n is divid
55. If Company M ordered a total of 50 computers and printers an
56. If the average (arithmetic mean) of the five numbers x, 7, 2, 16 and
57. At a two-day seminar, 90 percent of those registered attended the semi
58. If m, k, x, and y are positive numbers, is mx + ky > kx + my ?
59. In the xy-plane, what is the y-intercept of line l?
60. If x and y are positive integers , is the product xy even
61. In the figure shown, what is the value of x?
62. If 0 < x < y, what is the value of (x + y)^2/(x- y)^2?
63. If the operation ∆ is one of the four arithmetic operations addition
64. If s and t are two different numbers on the number line, is s + t = 0
65. What is the remainder when the positive integer x is divided by 6?
66. On a certain sight-seeing tour, the ratio of the number of women to th
67. If k is a positive integer, then 20k is divisible by how man
68. Is x < y ? (1) 2x < 3y (2) xy > 0

700+

1. Of the students who eat in a certain cafeteria, each student either
2. If p is a positive odd integer, what is the remainder when p is divide
3. Six countries in a certain region sent a total of 75 representatives
4. A certain one-day seminar consisted of a morning session and
5. At least 100 students at a certain high school study japanes
6. If p and n are positive integers and p > n, what is the remainder when
7. If x is positive, is x > 3 ? (1) (x - 1)^2 > 4 (2) (x - 2)^2 > 9
8. Machines X and Y work at their respective constant rates. How many mor
9. A construction company was paid a total of $500,000 for a construction
10. Of the 60 animals on a certain farm, 2/3 are either pigs or cows. How
11. Are at least 10 percent of the people in Country X who are 65 years
12. If x is a positive number less than 10, is z greater than the average
13. In triangle ABC above, what is the length of side BC?
14. On Jane's credit card account, the average daily balance for 30-day
15. If the integer n is greater than 1, is n equal to 2?
16. Is 1/(a - b) > b - a ? (1) a < b (2) 1 < |a - b|
17. If x and y are integers greater than 1, is x a multiple of y?
18. Is ((x-3)^2)^(1/2) = 3-x? (1) x ≠ 3 (2) -x|x| > 0
19. If z^n = 1, what is the value of z?
20. Henry purchased 3 items during a sale. He received a 20 percent discou
21. A contractor combined x tons of a gravel mixture that contained 10 per
22. During a 40-mile trip, Marla traveled at an average speed of
23. The positive integer k has exactly two positive prime factors, 3 and 7
24. If it took Carlos 1/2 hour to cycle from his house to the library yest
25. In the figure shown, the measure of angle PRS is how many degrees grea
26. If $1,000 is deposited in a certain bank account and remains in the
27. On her way home from work, Janet drives through several
28. Each employee of a certain task force is either a manager or a directo
29. In the xy-plane, does the line with equation y = 3x + 2 contains the
30. The sum of positive integers x and y is 77. What is value of xy?
31. Did it take Pei more than 2 hours to walk a distance of 10 miles along
32. Each of the 25 balls in a certain box is either red, blue or white and
33. If n is a positive integer and r is the remainder when (n - 1)(n + 1)
34. What fraction of this year's graduating students at a certain college
35. Linda put an amount of money into each of two new investments, A and B
36. Of the 1400 college teachers surveyed, 42% said they considered engagi
37. If x, y and z are integers and xy + z is an odd integer, is x an even
38. On the number line, the distance between x and y is greater than the
39. If the integers a and n are greater than 1 and the product of the firs
40. If n and t are positive integers, what is the greatest prime factor of
41. Is |x - y| > |x| - |y|? (1) y < x (2) xy < 0
42. The sum of the integers in list S is the same as the sum of the intege
43. If there are more than two numbers in a certain list, is each of the
44. Are x and y both positive? (1) 2x - 2y = 1 (2) x/y > 1
45. In a certain year, the difference between Mary's and Jim's annual sala
46. The positive integers x, y, and z are such that x is a factor of y and
47. Jack and Mark both received hourly wage increases of 6 perce
48. If integers x, y and z are greater than 1 what is the value
49. On the number line shown, is zero halfway between r and s ?
50. Of the 75 houses in a certain community, 48 have a patio. How many of
51. How many odd integers are greater than the integer x and
52. Did one of the 3 members of a certain team sell at least 2 raffle tick
53. Martha bought an armchair and a coffee table at an action and sold bot
54. Each employee of Company Z is an employee of either division X or divi
55. Ellen can purchase a certain computer at a local store at th
56. For each month of next year, Company R's monthly revenue target is x
57. Is m + z > 0 (1) m - 3z > 0 (2) 4z - m > 0
58. The cost of a square slab is proportional to its thickness and also
59. If Bob produces 36 or fewer in a week, he is paid X dollars
60. In the sequence shown, a_n=a_(n-1)+k, where 2<=n<=15 and k