# | ID | Difficulty | Primary Category | Question Text |

1 | DS | Easy | Arithmetic | If mario was 32 years old 8 years ago how old was he x year |

2 | DS | Easy | Work/Rate Problems | Running at the same constant rate 6 identical machines can |

3 | DS | Easy | Fractions/Ratios/Decimals/Word Prob | Three business partners q r and s agree to divide their |

4 | DS | Easy | Coordinate Geometry/Absolute Values | Of the five coordinates associated with points a b c d |

5 | DS | Easy | Percents and Interest Problems | A restaurant meal cost 35 50 and there was no tax if the |

6 | DS | Easy | Geometry | Harriet wants to put up fencing around three sides of her |

7 | DS | Easy | Inequalities/Must or Could be True | If u t r q s t and t r which of the following |

8 | DS | Easy | Percents and Interest Problems | Increasing the original price of an article by 15 percent |

9 | DS | Easy | Arithmetic | If k is an integer and 0 0010101 10 k is greater than |

10 | DS | Easy | Algebra | If b 3 4 2 b 0 and b 3 then b |

11 | DS | Easy | Word Problems | In a weight lifting competition the total weight of joe s t |

12 | DS | Easy | Distance/Rate Problems | One hour after yolanda started walking from x to y a dist |

13 | DS | Easy | Statistics and Sets Problems | The average arithmetic mean of 6 numbers is 8 5 when one |

14 | DS | Easy | Coordinate Geometry | In the rectangular coordinate system above the area of tria |

15 | DS | Medium | Algebra | Which of the following equations has a root in common with x 2 6x |

16 | DS | Easy | Work/Rate Problems | One inlet pipe fills an empty tank in 5 hours a second inle |

17 | DS | Easy | Percents and Interest Problems | During the first week of september a shoe retailer sold 10 pairs of a |

18 | DS | Easy | Algebra | The number 2 0 5 is how many times the number |

19 | DS | Easy | Algebra/Arithmetic | If x 1 then x 4 x 3 x 2 x |

20 | DS | Easy | Geometry/Work/Rate Problems | Coins are dropped into a toll box so that the box is being |

21 | DS | Easy | Arithmetic/Fractions/Ratios/Decimal | (1/5)^2 1/5*1/4 |

22 | DS | Easy | Min/Max Problems | A club collected exactly 599 from its members if each |

23 | DS | Easy | Percents and Interest Problems/Word | A union contract specifies a 6 percent salary increase plus a 450 bon |

24 | DS | Easy | Algebra | If n is a positive integer and k 2 3 n which of the fol |

25 | DS | Easy | Word Problems | Elena purchased brand x pens for 4 00 apiece and brand y |

26 | DS | Easy | Geometry | If the length and width of a rectangular garden plot were ea |

27 | DS | Medium | Arithmetic | The population of a bacteria culture doubles every 2 minutes |

28 | DS | Easy | Remainders | When 10 is divided by the positive integer n the remainder is |

29 | DS | Easy | Word Problems | For a light that has an intensity of 60 candles at its sourc |

30 | DS | Easy | Number Properties | If x and y are prime numbers which of the following cannot |

31 | DS | Medium | Percents and Interest Problems | Of the 3 600 employees of company x 1 3 are clerical if the clerica |

32 | DS | Easy | Arithmetic | In which of the following pairs are the two numbers reciproc |

33 | DS | Easy | Percents and Interest Problems/Arit | What is 45 percent of 7 12 of |

34 | DS | Easy | Fractions/Ratios/Decimals | If x books cost 5 each and y books cost 8 each then the average |

35 | DS | Easy | Fractions/Ratios/Decimals/Word Prob | If 1 2 of the money in a certain trust fund was invested in stocks |

36 | DS | Easy | Word Problems | Marion rented a car for 18 00 plus 0 10 per mile driven craig rente |

37 | DS | Easy | Work/Rate Problems | Machine a produces bolts at a uniform rate of 120 every |

38 | DS | Medium | Fractions/Ratios/Decimals/Arithmeti | 3.003/2.002 |

39 | DS | Easy | Statistics and Sets Problems | In 1982 the approximate average cost of operating a subcompact car for |

40 | DS | Very Hard | Statistics and Sets Problems/Fracti | In 1984 the average cost of operating a subcompact car was approximate |

41 | DS | Very Hard | Statistics and Sets Problems | For each of the years shown the average cost per mile of operating a |

42 | DS | Easy | Exponents/Powers/Arithmetic/Fractio | What is the decimal equivalent of |

43 | DS | Easy | Word Problems | Two hundred gallons of fuel oil are purchased at 0 91 per gallon and |

44 | DS | Easy | Algebra | If 4 x 2 x x what is the value of x 2 3x |

45 | DS | Medium | Algebra/Must or Could be True Quest | If b 2 and 2x 3b 0 which of the following must be tru |

46 | DS | Easy | Geometry | The trapezoid shown in the figure above represents a cross |

47 | DS | Medium | Arithmetic | (( 1.5)(1.2) (4.5)(0.4))/30 |

48 | DS | Easy | Divisibility/Multiples/Factors | If n is a positive integer then n n 1 n 2 is |

49 | DS | Easy | Word Problems | If jack had twice the amount of money that he has he would have exact |

50 | DS | Easy | Word Problems | 3 second then at the same rate |

51 | DS | Easy | Percents and Interest Problems | The price of a certain television set is discounted by 10 pe |

52 | DS | Easy | Arithmetic | If 2 1 2 y 1 then y |

53 | DS | Easy | Geometry/Word Problems | If a rectangular photograph that is 10 inches wide by 15 inches long i |

54 | DS | Easy | Exponents/Powers | If m is an integer such that 2 2m 2 9 m then m |

55 | DS | Easy | Inequalities | If 0 x 4 and y 12 which of the following |

56 | DS | Easy | Geometry | In the figure above v represents an observation point at on |

57 | DS | Easy | Percents and Interest Problems/Word | If the total payroll expense of a certain business in year y was |

58 | DS | Easy | Must or Could be True Questions/Num | If a b and c are consecutive positive integers and a b |

59 | DS | Medium | Fractions/Ratios/Decimals | A straight pipe 1 yard in length was marked off in fourths |

60 | DS | Easy | Number Properties | What is the least integer that is a sum of three different primes each |

61 | DS | Medium | Word Problems | A tourist purchased a total of 1 500 worth of traveler s |

62 | DS | Easy | Geometry | If the circle above has center o and circumference 18 then the perim |

63 | DS | Medium | Fractions/Ratios/Decimals | If each of the following fractions were written as a repeat |

64 | DS | Very Hard | Word Problems | Today rose is twice as old as sam and sam is 3 years younger |

65 | DS | Easy | Statistics and Sets Problems | The average arithmetic mean of 6 8 and 10 equals the average |

66 | DS | Easy | Coordinate Geometry | In the figure above the coordinates of point v are |

67 | DS | Easy | Fractions/Ratios/Decimals/Percents | Tickets for all but 100 seats in a 10 000 seat stadium were sold of t |

68 | DS | Easy | Fractions/Ratios/Decimals | In a mayoral election candidate x received 1 3 more votes t |

69 | DS | Easy | Word Problems | Rene earns 8 50 per hour on days other than sundays and twi |

70 | DS | Easy | Percents and Interest Problems | In a shipment of 120 machine parts 5 percent were defective |

71 | DS | Easy | Arithmetic | (2 3/5 1 2/3)/(2/3 3/5) |

72 | DS | Easy | Arithmetic | If x 1 then x 4 x 3 x 2 x |

73 | DS | Easy | Algebra | Which of the following equation is not equivalent to 25x 2 y |

74 | DS | Medium | Percents and Interest Problems | A toy store regularly sells all stock at a discount of |

75 | DS | Medium | Arithmetic/Percents and Interest Pr | If there are 664 579 prime numbers among the first 10 millio |

76 | DS | Medium | Algebra | A bank customer borrowed 10 000 but received y dollars les |

77 | DS | Hard | Word Problems | An airline passenger is planning a trip that involves three |

78 | DS | Easy | Geometry | The shaded portion of the rectangular lot shown above repres |

79 | DS | Easy | Divisibility/Multiples/Factors | How many multiples of 4 are there between 12 and 96 inclusive |

80 | DS | Medium | Word Problems | Jack is now 14 years older than bill if in 10 years jack |

81 | DS | Easy | Percents and Interest Problems | In country x a returning tourist may import goods with a tot |

82 | DS | Easy | Arithmetic | Which of the following is greater than |

83 | DS | Easy | Arithmetic | A rope 40 feet long is cut into two pieces if one piece is |

84 | DS | Easy | Arithmetic/Geometry | If 60 percent of a rectangular floor is covered by a rectang |

85 | DS | Easy | Arithmetic | The earth travels around the sun at a speed of approximately 18 5 mile |

86 | DS | Easy | Word Problems | A collection of books went on sale and 2 3 of them were |

87 | DS | Easy | Percents and Interest Problems/Word | If basis points are defined so that 1 percent is equal to 100 basis |

88 | DS | Easy | Fractions/Ratios/Decimals | The amounts of time that three secretaries worked on a |

89 | DS | Easy | Must or Could be True Questions/Num | If the quotient a b positive which of the following must be |

90 | DS | Easy | Exponents/Powers | If 8 2x 3 2 3x 6 then x |

91 | DS | Easy | Arithmetic | Of the following the closest approximation to |

92 | DS | Easy | Divisibility/Multiples/Factors | Which of the following cannot be the greatest common divisor of two |

93 | DS | Medium | Work/Rate Problems | An empty pool being filled with water at a constant rate takes 8 hours |

94 | DS | Easy | Algebra | A positive number x is multiplied by 2 and this product is |

95 | DS | Medium | Mixture Problems | A tank contains 10 000 gallons of a solution that is |

96 | DS | Easy | Algebra | A certain grocery purchased x pounds of produce for p dollar |

97 | DS | Easy | Algebra | If x 5y 16 and x 3y |

98 | DS | Easy | Work/Rate Problems | An empty swimming pool with a capacity of 5 760 gallons is filled at t |

99 | DS | Easy | Graphs and Illustrations | The dots on the graph above indicate the weights and fuel |

100 | DS | Easy | Arithmetic | (90 8(20:4))/(1/2) |

101 | DS | Easy | Arithmetic | If a b and c are nonzero numbers and a b c which of t |

102 | DS | Easy | Coordinate Geometry/Geometry | Bills school is 10 miles from his home he travels 4 miles from schoo |

103 | DS | Easy | Work/Rate Problems | Three machines individually can do a certain job in |

104 | DS | Easy | Percents and Interest Problems | In 1985 45 percent of a document storage facility s |

105 | DS | Easy | Geometry | What is the perimeter of the figure above |

106 | DS | Easy | Probability | A committee is composed of w women and m men if 3 women and |

107 | DS | Easy | Percents and Interest Problems | Last year carlos saved 10 percent of his annual earnings th |

108 | DS | Medium | Work/Rate Problems | Jan lives x floors above the ground floor of a highrise building it t |

109 | DS | Medium | Percents and Interest Problems | A corporation that had 115 19 billion in profits for the ye |

110 | DS | Easy | Number Properties | For any positive integer n n 1 the length of n is the number of po |

111 | DS | Medium | Number Properties | For any positive integer n n 1 the length of n is the |

112 | DS | Medium | Word Problems | A dealer originally bought 100 identical batteries at a tota |

113 | DS | Medium | Geometry | Two oil cans x and y are right circular cylinders and the height a |

114 | DS | Medium | Divisibility/Multiples/Factors | If x y and z are positive integers such that x is a factor of y and |

115 | DS | Easy | Statistics and Sets Problems | If x y 8z then which of the following represents the ave |

116 | DS | Easy | Arithmetic | If the product of the integers w x y and z is 770 and if |

117 | DS | Easy | Word Problems | If the population of a certain country increases at the rate |

118 | DS | Easy | Arithmetic | The value of 3 10 is how much greater than the value of |

119 | DS | Easy | Percents and Interest Problems | For an agricultural experiment 300 seeds were planted in |

120 | DS | Easy | Algebra/Fractions/Ratios/Decimals | If a b 2 3 which of the following is not true |

121 | DS | Easy | Algebra | On the number line if r s if p is halfway between rand s |

122 | DS | Medium | Min/Max Problems | Coins are to be put into 7 pockets so that each pocket contains at lea |

123 | DS | Easy | Geometry | The figure above shows a circular flower bed with its cente |

124 | DS | Medium | Work/Rate Problems | The table above gives the gasoline costs and consumption rates for a c |

125 | DS | Easy | Percents and Interest Problems | If 1 were invested at 8 percent interest compounded annually the |

126 | DS | Easy | Percents and Interest Problems | A furniture store sells only two models or desks model a and model b |

127 | DS | Easy | Work/Rate Problems | How many minutes does it take john to type y words if he |

128 | DS | Easy | Word Problems | The weights of four packages are 1 3 5 and 7 pounds respectively |

129 | DS | Easy | Roots/Arithmetic | Root of (16*20+8*32) |

130 | DS | Easy | Must or Could be True Questions/Num | The positive integer n is divisible by 25 if n 1 2 is |

131 | DS | Medium | Algebra/Must or Could be True Quest | If x and y are different integers and x 2 xy which of the |

132 | DS | Medium | Geometry | In the figure above da db dc what is the value of x |

133 | DS | Medium | Overlapping Sets/Functions and Cust | If x and y are sets of integers x y denotes the set of inte |

134 | DS | Medium | Word Problems | During the four years that mrs lopez owned her car she fou |

135 | DS | Medium | Distance/Rate Problems | A car travels from mayville to rome at an average speed o |

136 | DS | Medium | Algebra/Exponents/Powers | If 0 0015 10 m 0 03 10 k 5 10 7 then m k |

137 | DS | Easy | Arithmetic | In the figure above the sum of the three numbers in the hor |

138 | DS | Easy | Word Problems | For telephone calls between two particular cities a telephone company |

139 | DS | Easy | Geometry | If o is the center of the circle above what fraction of the circular |

140 | DS | Easy | Percents and Interest Problems/Word | If a compact disc that usually sells for 12 95 is on sale for |

141 | DS | Easy | Arithmetic | 1/(1 + 1/(2 + 1/3)) |

142 | DS | Easy | Word Problems/Fractions/Ratios/Deci | A fruit salad mixture consists of apples peaches and grape |

143 | DS | Easy | Algebra | If 3 x 2 and y 4 3 then 3 y x |

144 | DS | Easy | Algebra/Arithmetic | (1+5^1/2)(1 5^1/2) |

145 | DS | Easy | Geometry | Starting from point o on a flat school playground a child walks 10 y |

146 | DS | Medium | Distance/Rate Problems | A certain car increased its avarage speed by 5 miles per |

147 | DS | Easy | Word Problems | Lois has x dollars more than jim has and together they have |

148 | DS | Easy | Coordinate Geometry | In the rectangular coordinate system above the shaded region is bound |

149 | DS | Easy | Algebra | A certain population of bacteria doubles every 10 minutes |

150 | DS | Easy | Word Problems | During a certain season a team won 80 percent of its first |

151 | DS | Easy | Distance/Rate Problems | If juan takes 11 seconds to run y yards how many seconds |

152 | DS | Hard | Fractions/Ratios/Decimals | Which of the following fractions has the greatest value |

153 | DS | Easy | Overlapping Sets | Of 30 applicants for a job 14 had at least 4 years |

154 | DS | Medium | Divisibility/Multiples/Factors | Which of the following cannot yield an integer when divided by |

155 | DS | Very Hard | Arithmetic/Word Problems | A certain clock marks every hour by striking a number of times equal |

156 | DS | Medium | Algebra | If k 0 and k 3 2k 2 k x k then x |

157 | DS | Easy | Fractions/Ratios/Decimals/Arithmeti | 1/2 + 1/3 * 1/4 |

158 | DS | Easy | Min/Max Problems | John has 10 pairs of matched socks if he loses 7 individual |

159 | DS | Easy | Percents and Interest Problems | Last year s receipts from the sale of candy on valentine s day totaled |

160 | DS | Easy | Distance/Rate Problems | How many minutes does it take to travel 120 miles at 400 mil |

161 | DS | Easy | Algebra | If 1 1 x 2 2 x then x |

162 | DS | Easy | Arithmetic | Last year for every 100 million vehicles that traveled on a |

163 | DS | Easy | Geometry | If the perimeter of a rectangular garden plot is 34 feet and |

164 | DS | Easy | Divisibility/Multiples/Factors/Numb | What is the lowest positive integer that is divisible by |

165 | DS | Easy | Percents and Interest Problems/Word | Thirty percent of the members of a swim club have passed the |

166 | DS | Easy | Algebra/Functions and Custom Charac | For all numbers s and t the operation is defined by s t |

167 | DS | Medium | Arithmetic/Sequences | In an increasing sequence of 10 consecutive integers the |

168 | DS | Medium | Word Problems | A certain manufacturer produces items for which the producti |

169 | DS | Hard | Combinations | Permutation and combination queries |

170 | DS | Easy | Fractions/Ratios/Decimals | In a acertain company the ratio of the numer of manager to |

171 | DS | Medium | Algebra/Must or Could be True Quest | If x 1 2 400 which of the following could be the value |

172 | DS | Medium | Word Problems | Salesperson a s compensation for any week is 360 plus 6 per |

173 | DS | Easy | Geometry | If a square region has area n what is the length of the dia |

174 | DS | Hard | Fractions/Ratios/Decimals/Min/Max P | In a certain class consisting of 36 students some boys and |

175 | DS | Medium | Word Problems | The sum of the ages of doris and fred is y years if doris |

176 | DS | Medium | Arithmetic/Combinations | The addition problem above shows four of the 24 different in |

177 | DS | Easy | Algebra | If x 2 5 then x |

178 | DS | Easy | Percents and Interest Problems | What percent of 30 is 12 ? |

179 | DS | Easy | Word Problems | On a 3 day fishing trip 4 adults consumed food costing 60 for the s |

180 | DS | Easy | Percents and Interest Problems | In a poll of 66 000 physicians only 20 percent responded |

181 | DS | Easy | Algebra | If 1 5 0 2 x 5 then x |

182 | DS | Easy | Statistics and Sets Problems | If a basketball team scores an average arithmetic mean of x points |

183 | DS | Medium | Coordinate Geometry | In the figure above the point on segment pq that is twice as far from |

184 | DS | Easy | Arithmetic | 3/100 + 5/1,000 + 7/100,000 |

185 | DS | Medium | Algebra | If the number n of calculators sold per week varies with the |

186 | DS | Easy | Statistics and Sets Problems | The 65 cars on car lot 45 have air conditioning 30 have power window |

187 | DS | Easy | Algebra | Of the following which one is third greatest |

188 | DS | Medium | Percents and Interest Problems | During the second quarter of 1984 a total of 2 976 000 domestic cars |

189 | DS | Medium | Divisibility/Multiples/Factors | If a positive integer n is divisible by both 5 and 7 the n must also |

190 | DS | Medium | Arithmetic | An author received 0 80 in royalties for each of the first 100 000 co |

191 | DS | Easy | Geometry | Starting from town s fred rode his bicycle 8 miles due east 3 miles due south |

192 | DS | Medium | Inequalities | Which of the following describes all values of x for whic |

193 | DS | Hard | Exponents/Powers/Word Problems | Four hours from now the population of a colony of bacteria will reach |

194 | DS | Medium | Word Problems | At a certain pizzeria 1 8 of the pizzas sold in one week we |

195 | DS | Medium | Algebra | If 4 is one solution of the equation x2 3x k 10 where |

196 | DS | Easy | Probability | The probability is 1 2 that a certain coin will turn up head |

197 | DS | Easy | Word Problems | A caterer ordered 125 ice cream bars and 125 sundaes if the total |

198 | DS | Medium | Word Problems/Work/Rate Problems | Lloyd normally works 7 5 hours per day and earns 4 50 per hour |

199 | DS | Easy | Algebra/Arithmetic | If x 3 what is the value of 3x |

200 | DS | Easy | Fractions/Ratios/Decimals | Of the final grades received by the students in a certain |

201 | DS | Easy | Fractions/Ratios/Decimals | 29^2 + 29/29 |

202 | DS | Medium | Word Problems | Mr hernandez who was a resident of state x for only |

203 | DS | Easy | Algebra | If x 1 3t and y 2t 1 then for what value of t does x |

204 | DS | Easy | Arithmetic/Fractions/Ratios/Decimal | Which of the following fractions is equal to the decimal |

205 | DS | Easy | Geometry | In the figure above if x x y 3 8 then x |

206 | DS | Medium | Percents and Interest Problems/Word | The number of coronary bypass operations performed in the united state |

207 | DS | Easy | Number Properties/Must or Could be | If positive integers x and y are not both odd which of the |

208 | DS | Medium | Distance/Rate Problems | Two trains x and y started simultaneously from opposite ends of a |

209 | DS | Medium | Algebra/Must or Could be True Quest | As x increases from 165 to 166 which of the following must |

210 | DS | Medium | Inequalities/Must or Could be True | If it is true that x 2 and x 7 which of the following must be true |

211 | DS | Medium | Fractions/Ratios/Decimals | A club sold an average arithmetic mean of 92 raffle tickets per memb |

212 | DS | Easy | Word Problems | How many bits of computer memory will be required to store the integer |

213 | DS | Medium | Word Problems/Min/Max Problems/Rema | One week a certain truck rental lot had a total o |

214 | DS | Medium | Percents and Interest Problems | Ms adams sold two properties x and y for 30 000 each she sold pro |

215 | DS | Easy | Geometry | A rectangular box is 10 inches wide 10 inches long and |

216 | DS | Hard | Divisibility/Multiples/Factors | How many positive integers less than 20 are either a multip |

217 | DS | Easy | Word Problems | On 3 sales john has received commissions of 240 80 and 110 and |

218 | DS | Easy | Roots | 463 1 2 is between |

219 | DS | Easy | Geometry | The annual budget of a certain college is to be shown on a circle grap |

220 | DS | Easy | Percents and Interest Problems/Word | A company accountant estimates that airfares next year for business |

221 | DS | Easy | Algebra/Arithmetic | What is the value of 2x 2 2 4x 1 7 for x |

222 | DS | Easy | Number Properties/Functions and Cus | If x y xy 2 x y for all integers x and y then |

223 | DS | Easy | Percents and Interest Problems | During a two week period the price of an ounce of silver increased by |

224 | DS | Medium | Geometry | If a cube has a volume of 64 what is its total surface area |

225 | DS | Easy | Word Problems | The table above shows the number of students in three clubs at mcaulif |

226 | DS | Easy | Algebra/Must or Could be True Quest | If s u and v are positive integers and 2s 2u 2v which of the fo |

227 | DS | Medium | Fractions/Ratios/Decimals/Overlappi | In a nationwide poll n people were interviewed if 1 4 |

228 | DS | Medium | Word Problems | In a certain pond 50 fish were caught tagged and returned to the po |

229 | DS | Medium | Fractions/Ratios/Decimals | The ratio of two quantities is 3 to 4 if each of the |

230 | DS | Medium | Percents and Interest Problems | In 1986 the book value of a certain car was 2 3 original |

231 | DS | Hard | Coordinate Geometry | In the rectangular coordinate system shown above which quadrant if |

232 | DS | Easy | Distance/Rate Problems | A hiker walked for two days on the second day the hiker wal |

233 | DS | Easy | Word Problems | If a printer can print 2 pages of text per second then at this rate |

234 | DS | Easy | Geometry | In the circular region with center 0 shown above the two unshaded se |

235 | DS | Easy | Word Problems/Min/Max Problems | Envelopes can be purchased for 1 50 per pack of 100 1 00 per pack |

236 | DS | Easy | Algebra/Roots | SQRT (16 + 16)^1/2 |

237 | DS | Easy | Distance/Rate Problems | An automobile s gasoline mileage varies depending on the sp |

238 | DS | Easy | Arithmetic/Exponents/Powers | (0.3)^5/(0.3)^3 |

239 | DS | Easy | Percents and Interest Problems | In a horticultural experiment 200 seeds were planted in plo |

240 | DS | Easy | Percents and Interest Problems | The organizers of a fair projected a 25 percent increase in |

241 | DS | Easy | Word Problems | An optometrist charges 150 per pair for soft contact lenses and |

242 | DS | Easy | Arithmetic/Fractions/Ratios/Decimal | What is the ratio of 3 4 to the product |

243 | DS | Easy | Word Problems | The cost to rent a small bus for a trip is x dollars which is to be |

244 | DS | Medium | Divisibility/Multiples/Factors | If x is an integer and y 3x 2 which of the following cannot be a |

245 | DS | Medium | Geometry | The size of a television screen is given as the length of the screen s |

246 | DS | Easy | Statistics | If the average arithmetic mean of x and y is 60 and the average ar |

247 | DS | Easy | Geometry | If 3 and 8 are the lengths of two sides of a triangula |

248 | DS | Very Hard | Word Problems/Percents and Interest | One night a certain hotel rented 3 4 of its rooms including |

249 | DS | Easy | Algebra | If 3 x 2x 3 then 4x |

250 | DS | Medium | Word Problems | A certain electronic component is sold in boxes of 54 for |

251 | DS | Easy | Word Problems | On a certain street there is an odd number of houses in a row the ho |

252 | DS | Very Hard | Arithmetic | The product of the two digit numbers above is the three digi |

253 | DS | Easy | Word Problems | As a salesperson phyllis can choose one of two methods of a |

254 | DS | Medium | Fractions/Ratios/Decimals | A restaurant buys fruit in cans containing 3 1 2 cups of fruit each |

255 | DS | Easy | Algebra | If x 3 000 then the value of x 2x 1 is closest to |

256 | DS | Easy | Work/Rate Problems | Machine a produces 100 parts twice as fast as machine b does |

257 | DS | Easy | Percents and Interest Problems | If 18 is 15 percent of 30 percent of a certain number what |

258 | DS | Easy | Remainders | A necklace is made by stringing n individual beads togethe |

259 | DS | Easy | Algebra | If x 0 08 2 y 1 0 08 2 and z 1 0 08 2 1 which of the |

260 | DS | Easy | Geometry | In triangle abc above what is x in terms of z |

261 | DS | Easy | Word Problems | In 1990 a total of x earthquakes occurred worldwide some but not all |

262 | DS | Easy | Algebra | If x y xy 1 then y |

263 | DS | Medium | Fractions/Ratios/Decimals | If 1 2 of the air in a tank is removed with each stroke of |

264 | DS | Medium | Fractions/Ratios/Decimals | Last year department store x had a sales total for december |

265 | DS | Medium | Algebra/Fractions/Ratios/Decimals | How many integers n are there such that 1 5n |

266 | DS | Medium | Arithmetic | If the two digit integers m and n are positive and have the same digi |

267 | DS | Hard | Work/Rate Problems/Absolute Values/ | Working alone printers x y and z can do a certain printing job con |

268 | DS | Medium | Percents and Interest Problems | In 1985 a company sold a brand of shoes to retailers for a fixed price |

269 | DS | Easy | Arithmetic | 3*0.072/0.54 |

270 | DS | Easy | Word Problems | A car dealer sold x used cars and y new cars during may if the number |

271 | DS | Easy | Arithmetic | What is the maximum number of 1 1 foot pieces of wire that |

272 | DS | Easy | Coordinate Geometry/Geometry/Must o | If each of the two lines l1 and l2 is parallel to line l3 which of th |

273 | DS | Easy | Arithmetic | The expression above is approximately equal to |

274 | DS | Easy | Distance/Rate Problems | Car x and car y traveled the same 80 mile route if car x to |

275 | DS | Medium | Arithmetic | If the numbers 17 24 1 2 3 8 3 4 and 9 16 were ordered |

276 | DS | Easy | Percents and Interest Problems | If a 10 percent deposit that has been paid toward the purch |

277 | DS | Medium | Number Properties | Kim purchased n items from a catalog for 8 each |

278 | DS | Easy | Algebra/Arithmetic | Sqrt 7 sqrt |

279 | DS | Easy | Arithmetic | If the average arithmetic mean of the four numbers k |

280 | DS | Medium | Word Problems/Mixture Problems | A rabbit on a controlled diet is fed daily 300 grams of |

281 | DS | Medium | Combinations | A company that ships boxes to a total of 12 distribution centers uses |

282 | DS | Easy | Algebra | If x y a and x y b then 2xy |

283 | DS | Medium | Geometry | A rectangular circuit board is designed to have width w inches perim |

284 | DS | Hard | Percents and Interest Problems/Over | On a certain road 10 of the motorists exceed the posted speed limi |

285 | DS | Easy | Must or Could be True Questions/Num | If p is an even integer and q is an odd integer which of the followin |

286 | DS | Easy | Fractions/Ratios/Decimals | A certain college has a student to teacher ratio of 11 t |

287 | DS | Easy | Arithmetic | Last year if 97 percent of the revenues of a company came fr |

288 | DS | Medium | Word Problems/Fractions/Ratios/Deci | Drum x is 1 2 full of oil and drum y which has twice the capacity of |

289 | DS | Easy | Fractions/Ratios/Decimals | In a certain population there are 3 times as many people a |

290 | DS | Easy | Arithmetic/Fractions/Ratios/Decimal | \frac{2+2\sqrt{6}}{2}= |

291 | DS | Easy | Percents and Interest Problems | A certain telescope increases the visual range at a particular locatio |

292 | DS | Easy | Geometry | In the figure above the value of y is |

293 | DS | Easy | Word Problems/Percents and Interest | A part time employee whose hourly wage was increased b |

294 | DS | Easy | Percents and Interest Problems | If x 0 x 50 x 25 is what percent of |

295 | DS | Easy | Functions and Custom Characters/Alg | If the operation is defined for all a and b by the equat |

296 | DS | Very Hard | Word Problems | A factory that employs 1 000 assembly line workers pays each of these |

297 | DS | Easy | Algebra | If x 2 then 3x 2 x 2 x 2 x |

298 | DS | Easy | Fractions/Ratios/Decimals/Poor Qual | In a certain school 40 more than 1 3 of all the student |

299 | DS | Very Hard | Inequalities/Must or Could be True | If d 0 and 0 1 c d 1 which of the following must be |

300 | DS | Hard | Geometry | The inside dimensions of a rectangular wooden box are |

301 | DS | Easy | Arithmetic | 1/2/(1/4 + 1/6) |

302 | DS | Easy | Fractions/Ratios/Decimals | Kelly and chris packed several boxes with books if chris packed 60 pe |

303 | DS | Medium | Distance/Rate Problems | A train travels from new york to chicago a distance of approximately |

304 | DS | Easy | Arithmetic | Of the following which is the closest approximation of |

305 | DS | Medium | Statistics and Sets Problems | Last year manfred received 26 paychecks each of his first |

306 | DS | Easy | Algebra/Arithmetic | A certain pair of used shoes can be repaired for 12 50 and will last |

307 | DS | Easy | Word Problems | In a certain brick wall each row of bricks above the bottom row |

308 | DS | Easy | Percents and Interest Problems | If 25 percent of p is equal to 10 percent of q and pq 0 th |

309 | DS | Easy | Geometry | If the length of an edge of cube x is twice the length of an |

310 | DS | Easy | Algebra | (2^(1/2) + 1)(2^(1/2) 1)(3^(1/2) + 1)(3^(1/2) 1) |

311 | DS | Easy | Fractions/Ratios/Decimals | In a certain calculus class the ratio of the number of math majors |

312 | DS | Easy | Work/Rate Problems | Machines a and b always operate independently and at their r |

313 | DS | Medium | Coordinate Geometry | In the xy coordinate system if a b and a 3 b k are two |

314 | DS | Easy | Number Properties | What is the units digit of |

315 | DS | Easy | Geometry | The shaded portion of the rectangular lot shown above repres |

316 | DS | Hard | Combinations | Pat will walk from intersection x to intersection y along a |

317 | DS | Easy | Word Problems | A certain fishing boat is chartered by 6 people who are to c |

318 | DS | Easy | Geometry | In square abcd above if de eb and df fc then the area of the sha |

319 | DS | Easy | Percents and Interest Problems/Word | Craig sells major appliances for each appliance he sells c |

320 | DS | Easy | Arithmetic/Statistics and Sets Prob | The average arithmetic mean of 10 30 and 50 is 5 more |

321 | DS | Easy | Arithmetic | What number when multiplied by 4 7 yields 6 7 as the result |

322 | DS | Medium | Algebra/Min/Max Problems | If y x 5 2 x 1 2 6 then y is least when x |

323 | DS | Easy | Mixture Problems | If 3 pounds of dried apricots that cost x dollars per pound are mixed |

324 | DS | Easy | Word Problems | A cashier mentally reversed the digits of one customer s correct amoun |

325 | DS | Easy | Number Properties | Which of the following is not equal to the square of an integer |

326 | DS | Easy | Geometry | An artist wishes to paint a circular region on a square post |

327 | DS | Easy | Must or Could be True Questions/Num | Which of the following must be equal to zero for all real nu |

328 | DS | Medium | Distance/Rate Problems | At the rate of m meters per s seconds how many meters does a cyclist |

329 | DS | Medium | Combinations | In the table above what is the least number of table entries |

330 | DS | Easy | Percents and Interest Problems | A certain tax rate is 82 per 100 00 what is the rate expressed as |

331 | DS | Easy | Number Properties | Fermat primes are prime numbers that can be written in the form 2 k |

332 | DS | Medium | Word Problems/Percents and Interest | A shipment of 1500 heads of cabbage each of which was approximately |

333 | DS | Medium | Algebra | If t 8 is a factor of t 2 kt 48 then k |

334 | DS | Easy | Number Properties/Work/Rate Problem | If a is a positive integer and if the units digit of a 2 is |

335 | DS | Very Hard | Mixture Problems | The ratio by volume of soap to alcohol to water in |

336 | DS | Easy | Overlapping Sets | If 75 percent of a class answered the first question on a ce |

337 | DS | Easy | Arithmetic/Fractions/Ratios/Decimal | 31/125 |

338 | DS | Easy | Fractions/Ratios/Decimals/Word Prob | Members of a social club met to address 280 newsletters if |

339 | DS | Easy | Algebra | If x 2 2y 3 and 2y 4 what is the value of x 2 y |

340 | DS | Easy | Word Problems | If the cost of 12 eggs varies between 0 90 and 1 20 and the cost of |

341 | DS | Easy | Algebra/Arithmetic | (3^(1/2) + 2)(3^(1/2) 2) |

342 | DS | Easy | Percents and Interest Problems | A glucose solution contains 15 grams of glucose per 100 cubic centimet |

343 | DS | Easy | Word Problems | If sam were twice as old as he is he would be 40 years older than jim |

344 | DS | Easy | Algebra/Must or Could be True Quest | If 1 2 1 3 1 4 13 x which of the following must be an integer |

345 | DS | Easy | Geometry | In the figure above if pqrs is a parallelogram then y x |

346 | DS | Easy | Arithmetic | Temperatures in degrees celsius c can be converted to temp |

347 | DS | Medium | Coordinate Geometry | In the rectangular coordinate system above the line y x |

348 | DS | Easy | Arithmetic | If 1 kilometer is approximately 0 6 mile which of the |

349 | DS | Easy | Percents and Interest Problems | A 500 investment and a 1 500 investment have a combined ye |

350 | DS | Medium | Word Problems | A store currently charges the same price for each towel that |

351 | DS | Medium | Must or Could be True Questions/Num | If the sum of n consecutive integers is 0 which of the following must |

352 | DS | Medium | Fractions/Ratios/Decimals | In the formula v 1 2r 3 if r is halved then v is mult |

353 | DS | Medium | Functions and Custom Characters/Num | For any integer n greater than 1 n denotes the product of |

354 | DS | Easy | Combinations | In how many arrangements can a teacher seat 3 girls and 3 boys in a |

355 | DS | Very Hard | Distance/Rate Problems/Geometry | A circular rim 28 inches in diameter rotates the same numbe |

356 | DS | Hard | Percents and Interest Problems | The cost c of manufacturing a product can be estimated by the formula |

357 | DS | Easy | Word Problems | Reggie purchased a car costing 8 700 as a down payment he used a |

358 | DS | Medium | Percents and Interest Problems | According to the table above the number of fellows was approximately |

359 | DS | Easy | Statistics and Sets Problems | The arithmetic mean and standard deviation of a certain |

360 | DS | Medium | Word Problems | Mark bought a set of 6 flower pots of different sizes at |

361 | DS | Easy | Remainders | When n is divided by t the quotient is s and reminder is v which of |

362 | DS | Medium | Arithmetic | Which of the following numbers is greater than three fourths of the n |

363 | DS | Easy | Percents and Interest Problems | Lucy invested 10 000 in a new mutual fund account exactly |

364 | DS | Easy | Arithmetic/Statistics and Sets Prob | A certain bakery has 6 employees it pays annual salaries of |

365 | DS | Medium | Number Properties/Statistics and Se | If x is equal to the sum of the even integers from 40 t |

366 | DS | Easy | Algebra/Exponents/Powers | If 7 3 4 n 7 what is the value of n |

367 | DS | Easy | Algebra/Statistics and Sets Problem | Which of the following is equal to the average arithmetic |

368 | DS | Medium | Algebra/Min/Max Problems | If x 4 y 4 100 then the greatest possible value of x is betwee |

369 | DS | Medium | Word Problems | During a car trip maria stopped to rest after she traveled 1 2 of th |

370 | DS | Easy | Algebra | In the table above what is the number of green marbles in j |

371 | DS | Easy | Word Problems | The cost of picture frame m is 10 00 less than 3 times the cost of pi |

372 | DS | Medium | Probability | If x is to be chosen at random from the set 1 2 3 4 an |

373 | DS | Easy | Statistics and Sets Problems | If s 0 4 5 2 11 8 how much greater than the median |

374 | DS | Medium | Roots | The value of 89 1 3 is |

375 | DS | Medium | Statistics and Sets Problems | A computer chip manufacturer expects the ratio of the number |

376 | DS | Medium | Statistics and Sets Problems | If the variables x y and z take on only the values |

377 | DS | Medium | Percents and Interest Problems | In a certain furniture store each week nancy earns a salary of 240 p |

378 | DS | Easy | Probability | Two integers will be randomly selected from the sets above one intege |

379 | DS | Medium | Sequences | An arithmetic sequence is a sequence in which each ter |

380 | DS | Very Hard | Geometry | In the circle above pq is parallel to diameter or and or has lengt |

381 | DS | Medium | Percents and Interest Problems | Dick and jane each saved 3 000 in 1989 in 1990 dick saved |

382 | DS | Medium | Arithmetic | Of the following which is least |

383 | DS | Easy | Statistics and Sets Problems | S represents the sum of the weights of n fish in pounds which of th |

384 | DS | Medium | Word Problems | The table below represents the combined net income of all united state |

385 | DS | Medium | Number Properties/Exponents/Powers | For how many integers n is 2 n n |

386 | DS | Easy | Word Problems/Statistics and Sets P | The manager of a theater noted that for every 10 admissions |

387 | DS | Hard | Number Properties | If n 4p where p is a prime number greater than 2 how many differen |

388 | DS | Hard | Statistics and Sets Problems | S is a set containing 9 different numbers t is a set contai |

389 | DS | Medium | Percents and Interest Problems | In a recent election james received 0 5 percent of the 2 000 votes |

390 | DS | Easy | Word Problems | The regular price per can of a certain brand of soda is |

391 | DS | Medium | Number Properties | If r and s are integers and rs r is odd which of the following mus |

392 | DS | Easy | Statistics and Sets Problems/Must o | If the median of the numbers in list i above is equal to the |

393 | DS | Easy | Arithmetic/Fractions/Ratios/Decimal | If d 2 0453 and d is the decimal obtained by rounding d |

394 | DS | Very Hard | Coordinate Geometry/Combinations | Right triangle pqr is to be constructed in the xy plane s |

395 | DS | Hard | Probability | A box contains 100 balls numbered from 1 to 100 if three b |

396 | DS | Medium | Divisibility/Multiples/Factors | How many different positive integers are factor of |

397 | DS | Easy | Percents and Interest Problems | Company k s earnings were 12 million last year if this yea |

398 | DS | Easy | Statistics and Sets Problems | In the list above if n is an integer between 1 and 10 inclusive the |

399 | DS | Medium | Inequalities | If 0 x 1 which of the following inequalities must b |

400 | DS | Easy | Exponents/Powers | If 2 x 2 y 8 and 9 x 3 y 81 then x y equals |

401 | DS | Easy | Arithmetic/Number Properties | If a 1 and a b c 1 which of the following is not a possible v |

402 | DS | Easy | Exponents/Powers | Which of the following is equal to x 18 for all positive values of x |

403 | DS | Easy | Arithmetic/Word Problems | A television manufacturer produces 600 units of a certain model each m |

404 | DS | Hard | Geometry | A square countertop has a square tile inlay in the center leaving an |

405 | DS | Easy | Arithmetic | If and represent single digits in the correctly worked computation |

406 | DS | Hard | Must or Could be True Questions/Sta | Which of the following can be inferred from the data above |

407 | DS | Easy | Percents and Interest Problems | Anne bought a computer for 2 000 and then paid a |

408 | DS | Easy | Algebra | If x y 2 3 then x y |

409 | DS | Easy | Algebra | If 4x 3y 2 and 3x 6 0 what is the value of y |

410 | DS | Easy | Statistics and Sets Problems | The data sets i ii and iii above are ordered from greatest standard |

411 | DS | Medium | Word Problems | The contents of a certain box consist of 14 apples and 23 or |

412 | DS | Hard | Number Properties/Divisibility/Mult | If n is a positive integer and n 2 is divisible by 72 then |

413 | DS | Easy | Algebra | If 3 is 6 more than x what is the value of x |

414 | DS | Easy | Arithmetic/Functions and Custom Cha | If stock is sold three months after it is purchased the formula above |

415 | DS | Easy | Distance/Rate Problems | An athlete runs r miles in h hours then rides a bike q miles in th |

416 | DS | Easy | Statistics and Sets Problems | If a certain sample of data has a mean of 20 0 and a |

417 | DS | Medium | Divisibility/Multiples/Factors | Which of the following is the lowest positive integer that is |

418 | DS | Easy | Min/Max Problems/Overlapping Sets/A | Of the 50 researchers in a workgroup 40 percent will be |

419 | DS | Medium | Word Problems | Last year a certain public transportation system sold an averag |

420 | DS | Hard | Fractions/Ratios/Decimals | The table above shows the amount of waste material in ton |

421 | DS | Medium | Probability | If a number between 0 and 1 2 is selected at random whic |

422 | DS | Easy | Percents and Interest Problems | The table above shows the results of a recent school board |

423 | DS | Easy | Statistics and Sets Problems | If m is the average arithmetic mean of the first |

424 | DS | Easy | Number Properties/Divisibility/Mult | If n is a positive integer less than 200 and 14n 60 is an |

425 | DS | Easy | Arithmetic/Graphs and Illustrations | The table above show the daily change in the price of a certain stock |

426 | DS | Easy | Percents and Interest Problems | A group of store managers must assemble 280 displays for an |

427 | DS | Easy | Statistics and Sets Problems/Arithm | The temperatures in degrees celsius recorded at 6 in the morning in |

428 | DS | Easy | Geometry | In the figure above what is the value of |

429 | DS | Medium | Arithmetic/Graphs and Illustrations | What is the sum of the integers in the table above |

430 | DS | Medium | Percents and Interest Problems | If m 0 and x is m percent of y then in terms of m y is |

431 | DS | Easy | Statistics and Sets Problems | The arithmetic mean of the list of numbers above is 4 if k |

432 | DS | Hard | Probability | A certain junior class has 1 000 students and a certai |

433 | DS | Medium | Fractions/Ratios/Decimals/Min/Max P | On the number line above the segment from 0 to 1 has been |

434 | DS | Very Hard | Sequences | A certain musical scale has has 13 notes each having a different fr |

435 | DS | Easy | Algebra | If a 7 and b 7 what is the value of 2a 2b b |

436 | DS | Medium | Fractions/Ratios/Decimals | Equal amount of water were poured into two empty jars o |

437 | DS | Easy | Percents and Interest Problems/Word | If mel saved more than 10 by purchasing a sweater at a 15 p |

438 | DS | Easy | Statistics and Sets Problems | Which of the following cannot be the median of t |

439 | DS | Easy | Arithmetic | (8^2)(3^3)(2^4)/96^2 |

440 | DS | Easy | Fractions/Ratios/Decimals | What is the 25th digit to the right of the decimal point in |

441 | DS | Medium | Geometry | Which of the following lists the number of points at which |