Detailed solutions to every Data Sufficiency problem from the GMAT Official Guide 13th Edition in one convenient list, from the GMAT quant experts. Click the links below to view a step-by-step solution to each problem and check your work.

  1. GMAT OFFICIAL GUIDE DS 1 – What is the value of…
  2. GMAT OFFICIAL GUIDE DS 2 – What percent of a group of people are women…
  3. GMAT OFFICIAL GUIDE DS 3 – In a certain class, one student is to be selected…
  4. GMAT OFFICIAL GUIDE DS 4 – If the two floors in a certain building are 9 feet…
  5. GMAT OFFICIAL GUIDE DS 5 – In College X the number of students enrolled…
  6. GMAT OFFICIAL GUIDE DS 6 – A certain expressway has Exits J, K, L and M…
  7. GMAT OFFICIAL GUIDE DS 7 – If n is an integer…
  8. GMAT OFFICIAL GUIDE DS 8 – For which type of investment, J or K…
  9. GMAT OFFICIAL GUIDE DS 9 – A citrus fruit grower receives $15 for each crate…
  10. GMAT OFFICIAL GUIDE DS 10 – If Pat saved $600 of his earnings…
  11. GMAT OFFICIAL GUIDE DS 11 – In the xy plane above…
  12. GMAT OFFICIAL GUIDE DS 12 – Water is pumped into a partially filled tank…
  13. GMAT OFFICIAL GUIDE DS 13 – Is x a negative…
  14. GMAT OFFICIAL GUIDE DS 14 – If i and j are integers..
  15. GMAT OFFICIAL GUIDE DS 15 – What is the cube root…
  16. GMAT OFFICIAL GUIDE DS 16 – If Car X followed Car Y across a certain…
  17. GMAT OFFICIAL GUIDE DS 17 – If n + k = m…
  18. GMAT OFFICIAL GUIDE DS 18 – The number of seats in the first row…
  19. GMAT OFFICIAL GUIDE DS 19 – In Triangle PQR, if PQ = x…
  20. GMAT OFFICIAL GUIDE DS 20 – What is the value of n…
  21. GMAT OFFICIAL GUIDE DS 21 – What percent of the drama club members enrolled…
  22. GMAT OFFICIAL GUIDE DS 22 – On a recent trip, Mary drove 50 miles…
  23. GMAT OFFICIAL GUIDE DS 23 – In Mr. Smith’s class, what is the ratio of…
  24. GMAT OFFICIAL GUIDE DS 24 – If the sequence S has 300…
  25. GMAT OFFICIAL GUIDE DS 25 – On a certain date, Hannah invested…
  26. GMAT OFFICIAL GUIDE DS 26 – The profit from the sale of a certain…
  27. GMAT OFFICIAL GUIDE DS 27 – If n is an integer, is n…
  28. GMAT OFFICIAL GUIDE DS 28 – Carmen currently works 30 hours per week at her…
  29. GMAT OFFICIAL GUIDE DS 29 – If 90 students auditioned for the school…
  30. GMAT OFFICIAL GUIDE DS 30 – A circular tub has a band painted around its circumference…
  31. GMAT OFFICIAL GUIDE DS 31 – If t denotes the thousandths digit…
  32. GMAT OFFICIAL GUIDE DS 32 – If A and B are positive integers…
  33. GMAT OFFICIAL GUIDE DS 33 – The weights of all dishes of type X are exactly…
  34. GMAT OFFICIAL GUIDE DS 34 – A certain high school with a total enrollment of 900 students held a science fair…
  35. GMAT OFFICIAL GUIDE DS 35 – The inside of a rectangular carton…
  36. GMAT OFFICIAL GUIDE DS 36 – For the system of equations given…
  37. GMAT OFFICIAL GUIDE DS 37 – The average (arithmetic meant) price of 3 items…
  38. GMAT OFFICIAL GUIDE DS 38 – A scientist recorded the number of eggs…
  39. GMAT OFFICIAL GUIDE DS 39 – Terry holds 12 cards…
  40. GMAT OFFICIAL GUIDE DS 40 – The selling price of an article is equal…
  41. GMAT OFFICIAL GUIDE DS 41 – Is 4^x + y…
  42. GMAT OFFICIAL GUIDE DS 42 – Can a certain rectangular sheet of glass be positioned…
  43. GMAT OFFICIAL GUIDE DS 43 – If p_1 and p_2 are the populations…
  44. GMAT OFFICIAL GUIDE DS 44 – In a random sample of 80 adults…
  45. GMAT OFFICIAL GUIDE DS 45 – The table above shows the distance…
  46. GMAT OFFICIAL GUIDE DS 46 – What is the tenths digit in the decimal representation…
  47. GMAT OFFICIAL GUIDE DS 47 – Robots X, Y, and Z each assemble component…
  48. GMAT OFFICIAL GUIDE DS 48 – If a < x < b…
  49. GMAT OFFICIAL GUIDE DS 49 – How many people are directors of both Company…
  50. GMAT OFFICIAL GUIDE DS 50 – If x and y are positive, is x/y…
  51. GMAT OFFICIAL GUIDE DS 51 – A clothing store acquired an item…
  52. GMAT OFFICIAL GUIDE DS 52 – If x and y are positive…
  53. GMAT OFFICIAL GUIDE DS 53 – If x is an integer…
  54. GMAT OFFICIAL GUIDE DS 54 – A taxi company charges f cents…
  55. GMAT OFFICIAL GUIDE DS 55 – Guy’s net income equals his gross…
  56. GMAT OFFICIAL GUIDE DS 56 – What is the value of z…
  57. GMAT OFFICIAL GUIDE DS 57 – Each gift certificate sold…
  58. GMAT OFFICIAL GUIDE DS 58 – What is the tens digit…
  59. GMAT OFFICIAL GUIDE DS 59 – Max has $125 consisting…
  60. GMAT OFFICIAL GUIDE DS 60 – What is the value of n…
  61. GMAT OFFICIAL GUIDE DS 61 – At a certain picnic…
  62. GMAT OFFICIAL GUIDE DS 62 – Stores L and M each…
  63. GMAT OFFICIAL GUIDE DS 63 – If d denotes a decimal…
  64. GMAT OFFICIAL GUIDE DS 64 – How many integers are…
  65. GMAT OFFICIAL GUIDE DS 65 – What is the total number of coins…
  66. GMAT OFFICIAL GUIDE DS 66 – In a survey of 200 college…
  67. GMAT OFFICIAL GUIDE DS 67 – What is the value of…
  68. GMAT OFFICIAL GUIDE DS 68 – Three machines K, M…
  69. GMAT OFFICIAL GUIDE DS 69 – Of the four numbers represented…
  70. GMAT OFFICIAL GUIDE DS 70 – At a certain company…
  71. GMAT OFFICIAL GUIDE DS 71 – Mary persuaded n friends to donate…
  72. GMAT OFFICIAL GUIDE DS 72 – If m is an integer…
  73. GMAT OFFICIAL GUIDE DS 73 – What is the area of…
  74. GMAT OFFICIAL GUIDE DS 74 – In the xy-coordinate plane…
  75. GMAT OFFICIAL GUIDE DS 75 – Is the positive two-digit…
  76. GMAT OFFICIAL GUIDE DS 76 – Each week a certain salesman is paid…
  77. GMAT OFFICIAL GUIDE DS 77 – A total of $60,000 was invested…
  78. GMAT OFFICIAL GUIDE DS 78 – At a bakery, all donuts…
  79. GMAT OFFICIAL GUIDE DS 79 – In the figure above, is the area…
  80. GMAT OFFICIAL GUIDE DS 80 – If r and s are positive integers…
  81. GMAT OFFICIAL GUIDE DS 81 – If the ratio of the number of teachers…
  82. GMAT OFFICIAL GUIDE DS 82 – If r > 0 and s…
  83. GMAT OFFICIAL GUIDE DS 83 – If k is an integer…
  84. GMAT OFFICIAL GUIDE DS 84 – What is the value of n in…
  85. GMAT OFFICIAL GUIDE DS 85 – If x and y are integers…
  86. GMAT OFFICIAL GUIDE DS 86 – What is the value of…
  87. GMAT OFFICIAL GUIDE DS 87 – What is the average…
  88. GMAT OFFICIAL GUIDE DS 88 – Paula and Sandy were among…
  89. GMAT OFFICIAL GUIDE DS 89 – A number of people each wrote…
  90. GMAT OFFICIAL GUIDE DS 90 – Is the number of seconds required…
  91. GMAT OFFICIAL GUIDE DS 91 – Last year, if Arturo spent…
  92. GMAT OFFICIAL GUIDE DS 92 – If a, b, c, and d…
  93. GMAT OFFICIAL GUIDE DS 93 – Is the number of members of…
  94. GMAT OFFICIAL GUIDE DS 94 – In a certain office, 50 percent…
  95. GMAT OFFICIAL GUIDE DS 95 – On the number line above, p, q, r, s, and t…
  96. GMAT OFFICIAL GUIDE DS 96 – If ⌈x⌉ denotes the least integer…
  97. GMAT OFFICIAL GUIDE DS 97 – If x and y are integers…
  98. GMAT OFFICIAL GUIDE DS 98 – Is RST…
  99. GMAT OFFICIAL GUIDE DS 99 – If r and s are the roots of the equation…
  100. GMAT OFFICIAL GUIDE DS 100 – The figure above represents a circle graph…
  101. GMAT OFFICIAL GUIDE DS 101 – If x is negative…
  102. GMAT OFFICIAL GUIDE DS 102 – What is the number of cans…
  103. GMAT OFFICIAL GUIDE DS 103 – Each of the letters in the table above represents…
  104. GMAT OFFICIAL GUIDE DS 104 – If [x] denotes the greatest integer…
  105. GMAT OFFICIAL GUIDE DS 105 – Material A costs $3 per kilogram, and Material B
  106. GMAT OFFICIAL GUIDE DS 106 – While on a straight road, car X and car Y…
  107. GMAT OFFICIAL GUIDE DS 107 – If a certain animated cartoon consists of…
  108. GMAT OFFICIAL GUIDE DS 108 – At what speed was a train traveling…
  109. GMAT OFFICIAL GUIDE DS 109 – List M (not shown) consists of 8 different…
  110. GMAT OFFICIAL GUIDE DS 110 – Tom, Jane, and Sue each purchased…
  111. GMAT OFFICIAL GUIDE DS 111 – If x and y are integers…
  112. GMAT OFFICIAL GUIDE DS 112 – If the successive tick marks shown…
  113. GMAT OFFICIAL GUIDE DS 113 – In triangle ABC, point X is the midpoint…
  114. GMAT OFFICIAL GUIDE DS 114 – A department manager distributed a number…
  115. GMAT OFFICIAL GUIDE DS 115 – Machines X and Y produced identical bottles…
  116. GMAT OFFICIAL GUIDE DS 116 – On a company-sponsored cruise…
  117. GMAT OFFICIAL GUIDE DS 117 – The length of the edging that surrounds circular…
  118. GMAT OFFICIAL GUIDE DS 118 – For any integers x and y, min(x, y) and max(x, y)…
  119. GMAT OFFICIAL GUIDE DS 119 – If arc PQR above is a semicircle…
  120. GMAT OFFICIAL GUIDE DS 120 – A certain bookcase has 2 shelves of books…
  121. GMAT OFFICIAL GUIDE DS 121 – During a 6-day local trade show…
  122. GMAT OFFICIAL GUIDE DS 122 – In the figure above, points A, B, C, D, and E lie…
  123. GMAT OFFICIAL GUIDE DS 123 – The range of the numbers in set S…
  124. GMAT OFFICIAL GUIDE DS 124 – An employee is paid 1.5 times…
  125. GMAT OFFICIAL GUIDE DS 125 – A box contains only red chips…
  126. GMAT OFFICIAL GUIDE DS 126 – What was the revenue that a theater…
  127. GMAT OFFICIAL GUIDE DS 127 – The annual rent collected by a corporation…
  128. GMAT OFFICIAL GUIDE DS 128 – The hypotenuse of a right triangle is 10 cm…
  129. GMAT OFFICIAL GUIDE DS 129 – In the xy-plane, region R consists…
  130. GMAT OFFICIAL GUIDE DS 130 – What is the volume of a…
  131. GMAT OFFICIAL GUIDE DS 131 – Six shipments of machine parts were shipped…
  132. GMAT OFFICIAL GUIDE DS 132 – Joanna bought only $0.15 stamps…
  133. GMAT OFFICIAL GUIDE DS 133 – If x, y and z are three-digit positive integers…
  134. GMAT OFFICIAL GUIDE DS 134 – The table above shows the results of a survey of 100…
  135. GMAT OFFICIAL GUIDE DS 135 – A school administrator will assign each student in a…
  136. GMAT OFFICIAL GUIDE DS 136 – If ° represents one of the operations…
  137. GMAT OFFICIAL GUIDE DS 137 – How many of the 60 cars sold…
  138. GMAT OFFICIAL GUIDE DS 138 – In Jefferson School, 300 students …
  139. GMAT OFFICIAL GUIDE DS 139 – What is the median number of employees…
  140. GMAT OFFICIAL GUIDE DS 140 – If Juan had a doctor’s appointment…
  141. GMAT OFFICIAL GUIDE DS 141 – Last year, a certain company began manufacturing…
  142. GMAT OFFICIAL GUIDE DS 142 – When a player in a certain game tossed…
  143. GMAT OFFICIAL GUIDE DS 143 – Beginning in January of last year, Carl made…
  144. GMAT OFFICIAL GUIDE DS 144 – Are all of the numbers in a certain…
  145. GMAT OFFICIAL GUIDE DS 145 – Quadrilateral RSTU shown above is…
  146. GMAT OFFICIAL GUIDE DS 146 – If the average (arithmetic mean) of…
  147. GMAT OFFICIAL GUIDE DS 147 – What was the total amount of revenue…
  148. GMAT OFFICIAL GUIDE DS 148 – Any decimal that has only a finite number…
  149. GMAT OFFICIAL GUIDE DS 149 – In the figure above, what is…
  150. GMAT OFFICIAL GUIDE DS 150 – What amount did Jean earn…
  151. GMAT OFFICIAL GUIDE DS 151 – The price per share of Stock X…
  152. GMAT OFFICIAL GUIDE DS 152 – In the figure above, if the area of…
  153. GMAT OFFICIAL GUIDE DS 153 – If Sara’s age is exactly twice…
  154. GMAT OFFICIAL GUIDE DS 154 – A report consisting of 2,600 words…
  155. GMAT OFFICIAL GUIDE DS 155 – In the rectangular coordinate system above, if OP…
  156. GMAT OFFICIAL GUIDE DS 156 – In the expression above, if xn…
  157. GMAT OFFICIAL GUIDE DS 157 – If n is a positive integer and k…
  158. GMAT OFFICIAL GUIDE DS 158 – If Carmen had 12 more tapes…
  159. GMAT OFFICIAL GUIDE DS 159 – If x is an integer…
  160. GMAT OFFICIAL GUIDE DS 160 – If n is a positive integer, is the value of b…
  161. GMAT OFFICIAL GUIDE DS 161 – The inflation index for the year 1989…
  162. GMAT OFFICIAL GUIDE DS 162 – Is 5^k…
  163. GMAT OFFICIAL GUIDE DS 163 – Every member of a certain club…
  164. GMAT OFFICIAL GUIDE DS 164 – If x < 0…
  165. GMAT OFFICIAL GUIDE DS 165 – What is the circumference of…
  166. GMAT OFFICIAL GUIDE DS 166 – What is the value of x+y…
  167. GMAT OFFICIAL GUIDE DS 167 – If n and k are positive integers…
  168. GMAT OFFICIAL GUIDE DS 168 – In a certain business, production index…
  169. GMAT OFFICIAL GUIDE DS 169 – If n is a positive integer…
  170. GMAT OFFICIAL GUIDE DS 170 – If n is a positive integer, what…
  171. GMAT OFFICIAL GUIDE DS 171 – What is the value of 2t + t – …
  172. GMAT OFFICIAL GUIDE DS 172 – If n is an inte…
  173. GMAT OFFICIAL GUIDE DS 173 – If x, y, and z are positive integers…
  174. GMAT OFFICIAL GUIDE DS 174 – Marcia’s bucket can hold…
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