GMAT OG 2021 Math

GMAT Official Guide 2021 Math Questions to Recognize:

Problem Solving
#	ID	Difficulty	Primary Category	Question Text
1	PS	Easy	Geometry	In the figure the 6 small squares are identical each with sides of l
2	PS	Easy	Arithmetic/Graphs and Illustrations	The table shows a summary of the ticket sales from four performances o
3	PS	Easy	Statistics and Sets Problems	During a trip that they took together carmen juan maria a
4	PS	Easy	Word Problems	Each week a clothing salesperson receives a commission equal
5	PS	Easy	Arithmetic/Word Problems	A certain restaurant that regularly advertises through the mail has
6	PS	Easy	Geometry	In the figure above what are the coordinates of point r
7	PS	Easy	Percents and Interest Problems	The price of a coat in a certain store is 500 if the price of the co
8	PS	Easy	Arithmetic	(1/2 – 1/3) + (1/3 – 1/4) + (1/4 – 1/5) + (1/5 – 1/6) =
9	PS	Easy	Word Problems	While a family was away on vacation they paid a neighborhood boy
10	PS	Easy	Word Problems	Last year 48 000 of a certain store s profit was shared by its 2 owne
11	PS	Easy	Fractions/Ratios/Decimals	On a vacation rose exchanged 500 00 for euros at an exchange rate of
12	PS	Easy	Fractions/Ratios/Decimals	Each of the 12 squares shown is labeled x y v or w what is the ratio
13	PS	Easy	Coordinate Geometry	In the xy coordinate plane if the point 0 2 lies on the graph of th
14	PS	Easy	Number Properties/Word Problems	Bouquets are to be made using white tulips and red tulips and the rat
15	PS	Easy	Word Problems	Over the past 7 weeks the smith family had weekly grocery bills of
16	PS	Easy	Arithmetic/Percents and Interest Pr	125% of 5 =
17	PS	Easy	Statistics and Sets Problems	During a recent storm 9 neighborhoods experienced power failures of
18	PS	Easy	Distance/Rate Problems/Word Problem	When traveling at a constant speed of 32 miles per hour a certain mot
19	PS	Easy	Percents and Interest Problems/Word	A technician makes a round trip to and from a certain service center b
20	PS	Medium	Word Problems	From 2000 to 2003 the number of employees at a certain company increa
21	PS	Easy	Statistics and Sets Problems	Which of the following statements must be true about the average arit
22	PS	Easy	Algebra	A collection of 16 coins each with a face value of either 10 cents or
23	PS	Easy	Word Problems	A retailer purchased eggs at 2 80 per dozen and sold the eggs at 3 eg
24	PS	Easy	Probability	In a set of 24 cards each card is numbered with a different positive
25	PS	Easy	Geometry	If the circumference of a circle inscribed in a square is 25 what is
26	PS	Easy	Inequalities	If 1 x y z which of the following has the greatest value
27	PS	Medium	Number Properties/Statistics and Se	Set x consists of eight consecutive integers set y consists of all th
28	PS	Easy	Arithmetic	Of the following which is the closest to
29	PS	Easy	Algebra	Thabo owns exactly 140 books and each book is either paperback fictio
30	PS	Easy	Arithmetic	If the average arithmetic mean of the four numbers 3 15 32 and n
31	PS	Easy	Word Problems/Geometry	Abdul barb and carlos all live on the same straight road on which
32	PS	Easy	Geometry	In the figure shown what is the value of x
33	PS	Easy	Word Problems/Work/Rate Problems	During a certain time period car x traveled north along a straight ro
34	PS	Easy	Fractions/Ratios/Decimals/Word Prob	Cheryl purchased 5 identical hollow pine doors and 6 identical solid o
35	PS	Easy	Min/Max Problems/Word Problems	A certain store will order 25 crates of apples the apples will be of
36	PS	Easy	Word Problems	A bicycle store purchased two bicycles one for 250 and the other for
37	PS	Easy	Geometry	In the figure shown ac 2 and bd dc 1 what is the measure of
38	PS	Easy	Absolute Values/Modulus/	If k 2 m 2 which of the following must be true
39	PS	Easy	Algebra	Makoto nishi and ozuro were paid a total of 780 for waxing the floo
40	PS	Easy	Geometry	The figure above shows a path around a triangular piece of land mary
41	PS	Easy	Algebra/Exponents/Powers	If x is a positive integer and 4 x 3 y which of the following can
42	PS	Easy	Algebra	If (1 – 1.25)N = 1, then N =
43	PS	Easy	Remainders	The quotient when a certain number is divided by 2 3 is 9 2 what is
44	PS	Easy	Geometry	If a sphere with radius r is inscribed in a cube with edges of length
45	PS	Medium	Word Problems	The price of gasoline at a service station increased from 1 65 per ga
46	PS	Easy	Word Problems	Based on the rates above how much would company x charge a customer
47	PS	Easy	Algebra	If 2x + y = 7 and x + 2y = 5, then (x + y)/3 =
48	PS	Easy	Fractions/Ratios/Decimals	City x has a population 4 times as great as the population of city y
49	PS	Easy	Graphs and Illustrations	The graph above shows the height of the tide in feet above or below
50	PS	Easy	Arithmetic	If S = 1 + 1/2^2 + 1/3^2 + 1/4^2 + 1/5^2 + 1/6^2 + 1/7^2 + 1/8^2 + 1/9
51	PS	Easy	Percents and Interest Problems/Word	A manufacturer of a certain product can expect that between 0 3 percen
52	PS	Easy	Geometry	A flat patio was built alongside a house as shown in the figure above
53	PS	Easy	Arithmetic/Roots	Which of the following is closest to (4.2(1,590)/15.7)^(1/2) ?
54	PS	Easy	Percents and Interest Problems/Stat	The sum of the weekly salaries of 5 employees is 3 250 if each of th
55	PS	Easy	Word Problems	Last week chris earned x dollars per hour for the first 40 hours worke
56	PS	Easy	Geometry	In the figure above what is the ratio of the measure of angle b to
57	PS	Easy	Arithmetic	The value of 7 8 1 9 1 2 is closest to which of the following
58	PS	Easy	Divisibility/Multiples/Factors	The positive two digit integers x and y have the same digits but in
59	PS	Easy	Sequences	In a certain sequence of 8 numbers each number after the first is
60	PS	Medium	Algebra/Word Problems	A total of s oranges are to be packaged in boxes that will hold r oran
61	PS	Easy	Arithmetic/Inequalities	If 0 a b c which of the following statements must be true
62	PS	Easy	Coordinate Geometry	In the xy plane the origin o is the midpoint of line segment pq if t
63	PS	Medium	Statistics and Sets Problems	The table above shows the number of packages shipped daily by each of
64	PS	Easy	Percents and Interest Problems/Word	Company q plans to make a new product next year and sell each unit of
65	PS	Easy	Word Problems	A small business invests 9 900 in equipment to produce a
66	PS	Medium	Remainders	The dial shown above is divided into equal sized intervals at which
67	PS	Medium	Percents and Interest Problems	According to the table shown the estimated number of home schooled
68	PS	Easy	Coordinate Geometry	The graph of the equation xy k where k 0 lies in which two of th
69	PS	Easy	Fractions/Ratios/Decimals	When n liters of fuel was added to a tank that was already
70	PS	Medium	Geometry	The smaller rectangle in the figure above represents the original size
71	PS	Medium	Percents and Interest Problems	Kevin invested 8 000 for one year at a simple annual interest rate of
72	PS	Easy	Geometry	The figure above represents a semicircular archway over a flat street
73	PS	Easy	Fractions/Ratios/Decimals	The harvest yield from a certain apple orchard was 350 bushels of appl
74	PS	Medium	Fractions/Ratios/Decimals/Percents	In a certain fraction the denominator is 16 greater than the numerato
75	PS	Hard	Word Problems	Greg assembles units of a certain product at a factory each day he is
76	PS	Medium	Arithmetic/Roots	Which of the following is greatest
77	PS	Hard	Distance/Rate Problems	Al and ben are drivers for sd trucking company one snowy day ben lef
78	PS	Easy	Percents and Interest Problems	Of the land owned by a farmer 90 percent was cleared for planting of
79	PS	Easy	Sequences	At the start of an experiment a certain population consisted of
80	PS	Easy	Algebra	If (1/3 + 1/4 + 1/5 + 1/6) = r(1/9 + 1/12 + 1/15 + 1/18), then r =
81	PS	Medium	Algebra/Arithmetic	If x and y are positive integers such that y is a multiple of 5 and 3x
82	PS	Easy	Algebra	Which of the following expressions can be written as an integer
83	PS	Easy	Work/Rate Problems	Pumping alone at their respective constant rates one inlet pipe fills
84	PS	Easy	Coordinate Geometry	In the xy coordinate plane which of the following points must lie on
85	PS	Easy	Inequalities	If x 2 2 0 which of the following specifies all the possible
86	PS	Medium	Algebra/Remainders	Shawana made a schedule for reading books during 4 weeks 28 days of
87	PS	Hard	Percents and Interest Problems	In western europe x bicycles were sold in each of the years 1990 and
88	PS	Easy	Algebra/Remainders	If k is a positive integer what is the remainder when k 2 k 3 k
89	PS	Hard	Arithmetic/Fractions/Ratios/Decimal	Which of the following fractions is closest to 1/2
90	PS	Easy	Algebra/Fractions/Ratios/Decimals	If p ≠ 0 and p – (1 – p^2 )/p = r/p, then r =
91	PS	Easy	Statistics and Sets Problems	If the range of the six numbers 4 3 14 7 10 and x is 12 what is the
92	PS	Easy	Algebra	What number is 108 more than two thirds of itself a 72 b 144 c
93	PS	Medium	World Problem	A service provider charges c dollars for the first 50
94	PS	Easy	Distance/Rate Problem	A salesperson who had been driving at a speed
95	PS	Easy	Percent and Interest Problem	Company P had 15 percent more employees in December than it
96	PS	Medium	Graph	The table above shows the numbers of hours of television programs that
97	PS	Medium	Word Problem	A dance troupe has a total of 50 dancers split into 2 groups. The cost
98	PS	Easy	Word Problem	A doctor prescribed 18 cubic centimeters of a certain drug to a patient
99	PS	Easy	Exponents/Powers/Roots	The function f is defined by f(x) = x^(1/2) – 10 for all positive numb
100	PS	Medium	Geometry	If rectangle abcd is inscribed in the circle above what is the area
101	PS	Easy	Geometry	In quadrilateral abcd above what is the length of ab
102	PS	Very Hard	Geometry	Three fourths of the area of a rectangular lawn 30 feet wide by 40 fee
103	PS	Hard	Geometry	In the floor plan of an executive s beach house above the north and
104	PS	Medium	Geometry	On a scale drawing a rectangle 1 inch by 1 1 3 inches represents the
105	PS	Medium	Overlapping Sets	According to a survey of 200 people, 60 enjoy skiing and 80 enjoy skat
106	PS	Easy	Function and Custom Characters	If the relations shown hold for the operation ⊕ and the numbers m, n,
107	PS	Medium	Word Problem	To rent a tractor, it costs a total of x dollars for the first 24 hour
108	PS	Medium	World Problem	If the mass of 1 cubic centimeter of a certain substance is 7.3 grams
109	PS	Easy	Algebra	If z ≠ 0 and z + (1 – 2z^2)/z = w/z, then w =
110	PS	Easy	Function and Custom Characters	For all real numbers a, b, c, d, e, and f, the operation Θ is defined
111	PS	Medium	Algebra/Inequalities	If m and p are positive integers and m 2 p 2 100 what is the
112	PS	Medium	Algebra/Must or Could be True Quest	If x/y = c/d and d/c = b/a, which of the following must be true?
113	PS	Easy	Arithmetic	If k is an integer and (0.0025)(0.025)(0.00025) × 10^k is an integer,
114	PS	Easy	Algebra	If a(a + 2) = 24 and b(b + 2) = 24, where a ≠ b, then a + b =
115	PS	Easy	Coordinate Geometry	In the xy plane, the distance between the origin and the point (4,5)
116	PS	Medium	Percents and Interest Problems	In a recent election ms robbins received 8 000 votes cast by indepen
117	PS	Medium	Word problems	The profit P, in dollars, for any given month at a certain company is
118	PS	Easy	Geometry	In the figure shown the triangle is inscribed in the semicircle if
119	PS	Medium	Arithmetic/Statistics and Sets Prob	A manufacturer makes and sells 2 products p and q the revenue from t
120	PS	Medium	Remainders	A worker carries jugs of liquid soap from a production line to a packi
121	PS	Medium	Word Problems	Last year a state senate consisting of only Republican and Democrat me
122	PS	Easy	Geometry	The figure shown above represents a modern painting that consists of f
123	PS	Medium	Word Problems	Sam has $800 in his account. He will deposit $1 in his account one wee
124	PS	Medium	Word Problems	A certain state’s milk production was 980 million pounds in 2007 and 2
125	PS	Medium	Work/Rate Problems	Working simultaneously and independently at an identical constant rate
126	PS	Medium	Algebra/Functions and Custom Charac	The symbol denotes one of the four arithmetic operations addition su
127	PS	Easy	Algebra/Percents and Interest Probl	If mn 0 and 25 percent of n equals 37 1 2 percent of m what is the
128	PS	Easy	Percents and Interest Problems	Last year joe grew 1 inch and sally grew 200 percent more than joe gre
129	PS	Medium	Fractions/Ratios/Decimals/Percents	The table shows partial results of a survey in which consumers were as
130	PS	Medium	Word Problems	If 65 percent of a certain firm’s employees are full-time and if there
131	PS	Medium	Percents and Interest Problems	The cost c in dollars to remove p percent of a certain pollutant fro
132	PS	Medium	Algebra	If xy ≠ 0 and x^2y^2 − xy = 6, which of the following could be y in te
133	PS	Easy	Arithmetic	(4.8*10^9)^(1/2) is closest in value to
134	PS	Medium	Overlapping Sets	In a certain high school, 80 percent of the seniors are taking calculu
135	PS	Easy	Exponents/Powers	If the units digit of 5,610.37/10^k is 6, what is the value of k?
136	PS	Easy	Work/Rate Problems	Three printing presses r s and t working together at the
137	PS	Hard	Statistics and Sets Problems	In a poll, 200 subscribers to Financial Magazine X indicated which of
138	PS	Medium	Geometry	For a party three solid cheese balls with diameters of 2 inches 4 in
139	PS	Medium	Arithmetic	The sum of all the integers k such that 26 k 24 is
140	PS	Easy	Statistics and Sets Problems/Absolu	The number line shown contains three points r s and t whose coordin
141	PS	Medium	Geometry	Tanks A and B are each in the shape of a right circular cylinder.
142	PS	Medium	Word Problems	Mark and ann together were allocated n boxes of cookies to sell for a
143	PS	Medium	Arithmetic	In the correctly worked addition problem shown, P, Q, R, and S are dig
144	PS	Easy	Overlapping Sets	A certain high school has 5 000 students of these students x are
145	PS	Easy	Overlapping Sets	Each person who attended a company meeting was either a stockholder in
146	PS	Hard	Arithmetic/Percents and Interest Pr	The table shows the amount budgeted and the amount spent for each of
147	PS	Hard	Word Problems/Arithmetic/Percents a	The graph shows the number of computers assembled during each of 6 con
148	PS	Easy	Divisibility/Multiples/Factors	If n = 20! + 17, then n is divisible by which of the following?
149	PS	Easy	Word Problems	An American dealer bought a table in Germany for 480 marks and sold th
150	PS	Hard	Arithmetic	One inch represents 20 miles on Map K and one inch represents 30 miles
151	PS	Hard	Algebra	The product of two negative numbers is 160 if the lesser of the two
152	PS	Easy	Arithmetic	According to a certain estimate the depth n t in centimeters of
153	PS	Medium	Geometry	The sides of a square region, measured to the nearest centimeter, are
154	PS	Hard	Distance/Rate Problems	After driving to a riverfront parking lot bob plans to run
155	PS	Medium	Percents and Interest Problems	Alex deposited x dollars into a new account
156	PS	Medium	Arithmetic	M is the sum of the reciprocals of the consecutive integers from
157	PS	Medium	Work/Rate Problems	Working simultaneously at their respective constant rates m
158	PS	Medium	Probability	Carol purchased one basket of fruit consisting of 4 Apples and 2 Orang
159	PS	Medium	Word Problems	Last year Brand X shoes were sold by dealers in 403 different regions
160	PS	Easy	Statistics and Sets Problems	What is the median of the numbers shown
161	PS	Very Hard	Word Problems	If 1 3 of the total number of marbles in the three bags listed in the
162	PS	Medium	Statistics and Sets Problems	The table above gives the age categories of the 161 employees at compa
163	PS	Medium	Algebra	If k and n are positive integers such that n > k, then k! + (n-k)*(k-1
164	PS	Easy	Statistics and Sets Problems	Ron is 4 inches taller than amy and barbara is 1 inch taller than ron
165	PS	Hard	Algebra/Inequalities/Number Propert	If x and y are positive numbers such that x y 1 which of the
166	PS	Hard	Fractions/Ratios/Decimals	If x is the hundredths digit in the decimal 0 1x and if y is the thous
167	PS	Medium	Combinations	If each of the 12 teams participating in a certain tournament plays ex
168	PS	Hard	Geometry	If the length of a diagonal of a square is 2x^(1/2), what is the area
169	PS	Medium	Combinations	Clarissa will create her summer reading list by randomly choosing 4 bo
170	PS	Easy	Number Properties/Divisibility/Mult	If n is a positive integer and the product of all integers
171	PS	Medium	Probability	The probability that event m will not occur is 0 8 and the probability
172	PS	Easy	Word Problems	The total cost for company x to produce a batch of tools is
173	PS	Medium	Arithmetic/Statistics and Sets Prob	If q is an odd number and the median of q consecutive
174	PS	Easy	Geometry	A ladder of a fire truck is elevated to an angle of 60 and
175	PS	Medium	Geometry	The window in the figure above consists of a rectangle and a semicircl
176	PS	Very Hard	Fractions/Ratios/Decimals	If there are fewer than 8 zeroes between the decimal point and the
177	PS	Hard	Combinations	A three digit code for certain locks uses the digits
178	PS	Medium	Algebra/Mixture Problems	Jackie has two solutions that are 2 percent sulfuric acid
179	PS	Easy	Word Problems	If jake loses 8 pounds he will weigh twice as much as his
180	PS	Medium	Statistics and Sets Problems	For each student in a certain class a teacher adjusted the student s
181	PS	Medium	Overlapping Sets	Last year 26 members of a certain club traveled to england 26 members
182	PS	Easy	Percents and Interest Problems	A store reported total sales of 385 million for february of
183	PS	Medium	Remainders	When positive integer x is divided by positive integer y
184	PS	Easy	Algebra	If x(2x + 1) = 0 and (x + 1/2)(2x – 3) = 0, then x =
185	PS	Hard	Geometry	Figures x and y above show how eight identical triangular pieces of ca
186	PS	Very Hard	Min/Max Problems/Word Problems	A certain experimental mathematics program was tried out in 2 classes
187	PS	Easy	Statistics and Sets Problems	For the positive numbers, n, n + 1, n + 2, n + 4, and n + 8
188	PS	Hard	Geometry	The interior of a rectangular carton is designed by a certain
189	PS	Easy	Fractions/Ratios/Decimals/Mixture P	The present ratio of students to teachers at a certain
190	PS	Easy	Exponents/Powers/Inequalities	What is the smallest integer n for which 25 n
191	PS	Easy	Probability	Sixty percent of the members of a study group are women and
192	PS	Hard	Arithmetic/Word Problems	Each year for 4 years a farmer increased the number of trees in a
193	PS	Medium	Graphs and Illustrations/Statistics	According to the chart shown which of the following is
194	PS	Medium	Divisibility/Multiples/Factors/Expo	For the positive integers a b and k a k b means that a k
195	PS	Hard	Statistics and Sets Problems	A certain characteristic in a large population has a distribution that
196	PS	Hard	Word Problems	Four extra large sandwiches of exactly the same size were ordered for
197	PS	Hard	Algebra	Which of the following equations has 1 2 as one of its roots
198	PS	Hard	Percents and Interest Problems	In country c the unemployment rate among construction worke
199	PS	Medium	Probability	In a box of 12 pens a total of 3 are defective if a customer buys
200	PS	Very Hard	Statistics and Sets Problems	At a certain fruit stand the price of each apple is 40 cents and the
201	PS	Hard	Percents and Interest Problems	A pharmaceutical company received 3 million in royalties
202	PS	Very Hard	Word Problems	The light in a restroom operates with a 15 minute timer that is reset
203	PS	Hard	Geometry	The parallelogram shown has four sides of equal length what is the
204	PS	Easy	Exponents/Powers	If p is the product of the integers from 1 to 30 inclusive
205	PS	Hard	Divisibility/Multiples/Factors	If n 3 8 2 8 which of the following is not a factor of
206	PS	Hard	Algebra/Exponents/Powers/Geometry	In the figure shown if the area of the shaded region is 3 times
207	PS	Hard	Remainders/Word Problems	Club x has more than 10 but fewer than 40 members sometimes the membe
208	PS	Medium	Work/Rate Problems	In order to complete a reading assignment on time terry
209	PS	Easy	Algebra	If s > 0 and (r/s)^1/2=s, what what is r in terms of s ?
210	PS	Hard	Number Properties	If 3 < x < 100, for how many values of x is x/3 the square
211	PS	Hard	Combinations	A researcher plans to identify each participant in a certain medical
212	PS	Hard	Coordinate Geometry	The graph of which of the following equations is a straight line that
213	PS	Medium	Algebra/Min/Max Problems	An object thrown directly upward is at a height of h feet
214	PS	Easy	Inequalities	Which of the following is equivalent to the pair of
215	PS	Easy	Word Problems	David has d books which is 3 times as many as jeff and
216	PS	Easy	Combinations	There are 8 teams in a certain league and each team plays each of the
217	PS	Very Hard	Word Problems	At his regular hourly rate don had estimated the labor cost
218	PS	Easy	Inequalities/Must or Could be True	If p/q < 1 and p and q are positive integers which of the
219	PS	Medium	Word Problems	To mail a package the rate is x cents for the first pound
220	PS	Medium	Percents and Interest Problems	If money is invested at r percent interest compounded annua
221	PS	Medium	Word Problems/Distance/Rate Problem	On a recent trip cindy drove her car 290 miles rounded to
222	PS	Easy	Absolute Values/Modulus/Inequalitie	Which of the following inequalities is an algebraic expressi
223	PS	Easy	Statistics and Sets Problems/Word P	In a small snack shop the average arithmetic mean revenue
224	PS	Easy	Number Properties	If y is the smallest positive integer such that
225	PS	Medium	Arithmetic/Functions and Custom Cha	If is the greatest integer less than or equal to x what is the va
226	PS	Medium	Sequences/Statistics and Sets Probl	In the first week of the year nancy saved
227	PS	Easy	Sequences	In a certain sequence the term xn is given by the formula
228	PS	Medium	Distance/Rate Problems	During a trip francine traveled x percent of the total distance at an
229	PS	Medium	Exponents/Powers/Number Properties	If n = (33)^43 + (43)^33 what is the units digit of n?
230	PS	Medium	Combinations	Team a and team b are competing against each other in a game
231	PS	Very Hard	Geometry	A border of uniform width is placed around a rectangular
232	PS	Hard	Fractions/Ratios/Decimals/Exponents	If d=1/(2^3*5^7) is expressed as a terminating decimal, how many nonze
233	PS	Hard	Number Properties/Arithmetic	For any positive integer n the sum of the first n positive integers
234	PS	Medium	Word Problems	November 16, 2001, was a Friday. If each of the years 2004, 2008, and
235	PS	Medium	Number Properties	How many prime numbers between 1 and 100 are factors of
236	PS	Very Hard	Sequences	A sequence of numbers a1 a2 a3 is defined as follows a1 3 a2
237	PS	Very Hard	Percents and Interest Problems	Last year the price per share of stock x increased by k percent and
238	PS	Very Hard	Overlapping Sets/Word Problems	Of the 300 subjects who participated in an experiment using virtual re
239	PS	Hard	Geometry	The outer dimensions of a closed rectangular cardboard box are 8 centi
240	PS	Easy	Exponents/Powers	If m^(-1) = -1/3 then m^(-2) is equal to
241	PS	Very Hard	Percents and Interest Problems	A photography dealer ordered 60 model x cameras to be sold
242	PS	Hard	Min/Max Problems/Fractions/Ratios/D	Seven pieces of rope have an average arithmetic mean lengt
243	PS	Easy	Sequences	What is the difference between the sixth and the fifth terms
244	PS	Hard	Arithmetic/Min/Max Problems	From the consecutive integers 10 to 10 inclusive
245	PS	Hard	Combinations	The letters d g i i and t can be used to form 5 letter strings as
246	PS	Very Hard	Algebra/Arithmetic/Number Propertie	0.99999999/1.0001 – 0.99999991/1.0003 =
247	PS	Very Hard	Arithmetic/Percents and Interest Pr	Last sunday a certain store sold copies of newspaper a for
248	PS	Easy	Statistics and Sets Problems	For the past n days the average arithmetic mean daily
249	PS	Medium	Coordinate Geometry	In the coordinate system above which of the following is the equation
250	PS	Easy	Arithmetic	If a two digit positive integer has its digits reversed the resulting
251	PS	Easy	Algebra	In an electric circuit two resistors with resistances x and
252	PS	Easy	Probability	Xavier yvonne and zelda each try independently to solve a
253	PS	Easy	Algebra/Must or Could be True Quest	If 1/x – 1/(x+1) = 1/(x+4), then x could be
254	PS	Easy	Arithmetic/Exponents/Powers	(1/2)^(-3)*(1/4)^(-2)*(1/16)^(-1)
255	PS	Hard	Geometry	The figure shown above consists of a shaded 9 sided polygon and 9 un
256	PS	Very Hard	Min/Max Problems	List t consist of 30 positive decimals none of which is an integer
257	PS	Easy	Algebra	If 5 6 x x then x has how many possible values
258	PS	Medium	Mixture Problems	Seed mixture x is 40 percent ryegrass and 60 percent
259	PS	Hard	Geometry	In the figure above, ABCD is a parallelogram and E is the midpoint of
260	PS	Very Hard	Inequalities	How many of the integers that satisfy the inequality x 2 x
261	PS	Very Hard	Overlapping Sets	Of the 150 houses in a certain development 60 percent have
262	PS	Easy	Exponents/Powers/Algebra	The value of (2^(-14) + 2^(-15) + 2^(-16) + 2^(-17))/5 is

 

Data Sufficiency
#	ID	Difficulty	Primary Category	Question Text
263	DS	Easy	Word Problems	What is the number of pages of a certain journal article the size of
264	DS	Easy	Word Problems	If a certain vase contains only roses and tulips how many tulips are
265	DS	Easy	Geometry	In the xy-coordinate plane above, what are the coordinates of point N
266	DS	Easy	Algebra	The cost of 10 pounds of apples and 2 pounds of grapes was
267	DS	Easy	Statistics and Sets Problems	What was the median annual salary for the employees at compan
268	DS	Easy	Arithmetic	How many basic units of currency x are equivalent to 250 basi
269	DS	Medium	Geometry	In the xy-coordinate plane, what are the x-coordinates of the four ver
270	DS	Easy	Word Problems	A company bought 3 printers and 1 scanner what was the price of the
271	DS	Easy	Geometry	In the figure above point d is on ac what is the degree measure of
272	DS	Easy	Fractions/Ratios/Decimals/Word Prob	Each of the 256 solid colored marbles in a box is either blue green
273	DS	Easy	Fractions/Ratios/Decimals/Mixture P	A certain mixture of paint requires blue yellow and red paints in
274	DS	Easy	Overlapping Stets	There are 2 groups of students who took a history test. Was the averag
275	DS	Easy	Word Problems	The research funds of a certain company were divided among three depar
276	DS	Easy	Word Problems	In a certain class some students donated cans of food to a local food
277	DS	Easy	Statistics and Sets Problems	Each of the n employees at a certain company has a different annual sa
278	DS	Easy	Word Problems	In a recent town election what was the ratio of the number of votes
279	DS	Easy	Word Problems	How many men are in a certain company s vanpool program
280	DS	Easy	Probability	Each of the marbles in a jar is either red or white or blue if one ma
281	DS	Easy	Geometry	In the figure above what is the value of z
282	DS	Easy	Percent and Interest Problems	What is the value of 10 percent of y
283	DS	Easy	Word Problems	Last semester professor k taught two classes a and b each student
284	DS	Easy	Word Problems	Was the amount of john s heating bill for february greater than it was
285	DS	Easy	Sequences	If sequence s has 120 terms what is the 105th term of s
286	DS	Medium	Geometry	If all of the six faces of a concrete block are rectangular, what is
287	DS	Easy	Work/Rate Problems	Machine r and machine s work at their respective constant rates how
288	DS	Easy	Inequalities	If u > 0 and v > 0, which is greater, u^v or v^u?
289	DS	Easy	Word Problems	What was the range of the selling prices of the 30 wallets sold by a
290	DS	Easy	Word Problems	Three houses are being sold through a real estate agent
291	DS	Easy	Algebra	If a + b + c = 12, what is the value of b? (1) a + b = 8 (2) b + c = 6
292	DS	Easy	Inequalities	Is rw = 0?
293	DS	Easy	Algebra	Is x = 1/y?
294	DS	Easy	Overlapping Sets	How many people in a group of 50 own neither a fax machine nor a laser
295	DS	Easy	Exponents/Powers	What is the value of w^(-2)
296	DS	Easy	Exponents/Powers	What is the value of z in the figure above?
297	DS	Easy	Percent and Interest Problems	A certain investment earned a fixed rate of 4 percent interest per yea
298	DS	Easy	Coordinate Geometry/Geometry	What is the circumference of circle c 1 the radius of circle c is
299	DS	Easy	Algebra	What is the value of t
300	DS	Easy	Word Problems	For a certain car repair the total charge consisted of a charge for p
301	DS	Easy	Overlapping Sets	George has a total of b books in his library 25 of which are hardcove
302	DS	Easy	Number Properties	Is w + h^4 positive? 1 h is positive 2 w is positive
303	DS	Easy	Fractions/Ratios/Decimals/Inequalit	If a is a 3 digit integer and b is a 3 digit integer is the units
304	DS	Easy	Percent and Interest Problems	In each of the last five years company k donated p percent of its
305	DS	Medium	Geometry	Is the area of the triangular region above less than
306	DS	Easy	Arithmetic	A b c and d are points on a line if c is the midpoint of line segm
307	DS	Medium	Word Problems	The people in a line waiting to buy tickets to a show are standing one
308	DS	Easy	Geometry	Square abcd is inscribed in circle o what is the area of square regio
309	DS	Easy	Coordinate Geometry	Lines k and m are parallel to each other is the slope of
310	DS	Easy	Geometry	In cross section a tunnel that carries one lane of one way traffic is
311	DS	Easy	Overlapping Sets	In a certain group of 50 people how many are doctors who have a law
312	DS	Medium	Overlapping Sets	Of a group of 50 households how many have at least one cat or at
313	DS	Medium	Percent and Interest Problems	Robin invested a total of 12 000 in two investments x and y so that
314	DS	Easy	Probability	In a real estate office that employs n salespeople f of them are fema
315	DS	Easy	Inequalities	Is (x + 1)/(y + 1) > x/y?
316	DS	Easy	Word Problems	Do at least 60 percent of the students in pat s class walk to school
317	DS	Medium	Word Problems	A certain plumber charges 92 for each job completed in 4 hours or
318	DS	Medium	Inequalities	If x and y are positive numbers is (x + 1)/(y + 1) > x/y
319	DS	Medium	Fractions/Ratios/Decimals/Inequalit	If a and b are positive integers is a/b < 9/11
320	DS	Easy	Overlapping Sets	Every object in a box is either a sphere or a cube and every object
321	DS	Medium	Divisibility/Multiples/Factors/Numb	If x and y are positive integers is xy even
322	DS	Medium	Number Properties	If a and b are integers is a + b + 3 an odd integer
323	DS	Easy	Algebra	If x and y are positive integers what is the value of x^(1/2) + y^(1/2)
324	DS	Easy	Word Problems/Distance/Rate Problem	A certain truck uses 1 12 kv 2 gallons of fuel per mile when its spee
325	DS	Medium	Algebra	In the figure shown, is l1||l2 ?
326	DS	Easy	Word Problems/Distance/Rate Problem	What is the volume of the right circular cylinder X ?
327	DS	Easy	Number Properties	If r and s are positive integers is r s even
328	DS	Medium	Geometry	In the figure above pqr has angle measures as shown is x y
329	DS	Medium	Sequences	If s is a set of odd integers and 3 and 1 are in s is 15 in s
330	DS	Medium	Number Properties	Is the integer x a 3 digit integer 1 x is the square of an integer
331	DS	Easy	Sequences	If the 1st term of a sequence is 0 and the 2nd term is 1 is the 5th
332	DS	Medium	Number Properties	Is the sum of four particular integers even 1 two of the integers
333	DS	Easy	Word Problems	If a school district paid a total of 35 per desk for x desks and a to
334	DS	Easy	Algebra/Word Problems	Three children inherited a total of x dollars if the oldest child inh
335	DS	Easy	Algebra	If xyz 0 what is the value of x 4z 2 z 2y
336	DS	Medium	Algebra	If a and b are integers and b 0 does a 1 b 1 a b
337	DS	Easy	Sequences	In a sequence of numbers in which each term is 2 more than the precedi
338	DS	Easy	Divisibility/Multiples/Factors	Is the integer p divisible by 5 1 p is divisible by 10 2 p is
339	DS	Medium	Number Properties	The 9 squares above are to be filled with x s and o s with only one
340	DS	Easy	Number Properties	Is the sum of two integers divisible by 10 1 one of the integers
341	DS	Easy	Algebra/Number Properties	Is x an integer 1 x 3 8 2 x
342	DS	Medium	Word Problems	If a building has 6 000 square meters of floor space how many offices
343	DS	Medium	Number Properties	If p r and s are consecutive integers in ascending order and x is th
344	DS	Medium	Algebra	If m and n are integers what is the value of m n
345	DS	Medium	Geometry	In the figure above rst is a triangle with angle measures as shown an
346	DS	Medium	Geometry	If r s and t are points on a line and if r is 5 meters from t and
347	DS	Easy	Number Properties	Is n equal to zero 1 the product of n and some nonzero number is
348	DS	Easy	Arithmetic	On a map 1 2 inch represents 100 miles according to this map how ma
349	DS	Medium	Remainders	What is the remainder when the positive integer n is divided by
350	DS	Easy	Functions and Custom Characters/Num	If r and s are positive numbers and is one of the operations
351	DS	Hard	Sequences	In any sequence of n nonzero numbers a pair of consecutive terms with
352	DS	Medium	Absolute Values/Modulus/Word Proble	Jack picked 76 apples of these he sold 4y apples to juanita and 3t a
353	DS	Medium	Algebra	What number is 6 more than x y 1 y is 3 less than x 2 y is t
354	DS	Medium	Word Problems	The total price of 5 pounds of regular coffee and 3 pounds of decaffei
355	DS	Medium	Exponents/Powers/Inequalities	If a and b are integers is a 5 4 b 1 a 3 27 2 b
356	DS	Medium	Geometry	If each side of parallelogram p has length 1 what is the area of p
357	DS	Medium	Remainders	If x is an integer greater than 0 what is the remainder when x is div
358	DS	Medium	Fractions/Ratios/Decimals	A certain painting job requires a mixture of yellow green and white
359	DS	Medium	Inequalities	Is the average arithmetic mean of the numbers x y and z greater th
360	DS	Very Hard	Geometry	Is the point q on the circle with center c
361	DS	Hard	Geometry	In the figure above if a b and c are the areas respectively of th
362	DS	Very Hard	Fractions/Ratios/Decimals/Word Prob	A company produces a certain toy in only 2 sizes small or large and
363	DS	Medium	Geometry	Is quadrilateral pqrs a parallelogram 1 adjacent sides pq and qr
364	DS	Medium	Geometry	In the figure above the vertices of opq and qrs have coordinates as
365	DS	Medium	Sequences	After the first two terms in a sequence of numbers each term in the
366	DS	Medium	Word Problems	Jones has worked at firm x twice as many years as green and green has
367	DS	Medium	Geometry	In jkl shown above what is the length of segment jl
368	DS	Medium	Geometry	A six sided mosaic contains 24 triangular pieces of tile of the same
369	DS	Medium	Geometry	If in the figure above abcd is a rectangular region what is the val
370	DS	Medium	Geometry	A noncompressible ball in the shape of a sphere is to be passed throug
371	DS	Hard	Geometry	In the figure above what is the area of region pqrst 1 pq rs
372	DS	Medium	Geometry	The figure above represents a box that has the shape of a cube what i
373	DS	Medium	Geometry	If x and y are the lengths of the legs of a right triangle what is th
374	DS	Medium	Geometry	In the figure above pqrt is a rectangle what is the length of segmen
375	DS	Medium	Word Problems	On june 1 mary paid omar 360 for rent and utilities for the month of
376	DS	Medium	Algebra	If x 2t and y t 3 what is the value of x 2 y
377	DS	Medium	Statistics and Sets Problems	The 10 students in a history class recently took an examination what
378	DS	Hard	Statistics and Sets Problems/Word P	Last school year each of the 200 students at a certain high school at
379	DS	Medium	Word Problems	A clothing manufacturer makes jackets that are wool or cotton or a co
380	DS	Medium	Divisibility/Multiples/Factors	If n is an integer what is the greatest common divisor of 12 and n
381	DS	Medium	Word Problems	Each month jim receives a base salary plus a 10 percent commission on
382	DS	Medium	Divisibility/Multiples/Factors	If x is a positive integer greater than 1 what is the value of x
383	DS	Easy	Percent and Interest Problems	By what percent was the price of a certain television set discounted
384	DS	Hard	Geometry/Word Problems	Jack wants to use a circular rug on his rectangular office floor to co
385	DS	Medium	Mixture Problems	A paint mixture was formed by mixing exactly 3 colors of paint by vol
386	DS	Easy	Arithmetic/Number Properties	In the multiplication table above each letter represents an integer
387	DS	Easy	Exponents/Powers/Inequalities	If n is an integer is 0 1 n greater than 10 n
388	DS	Medium	Word Problems	For a basic monthly fee of f yen noako s first cell phone allowed him
389	DS	Hard	Word Problems	Is the sum of the prices of the 3 books that shana bought less than
390	DS	Medium	Arithmetic/Number Properties	If r and t are three digit positive integers is r greater than t
391	DS	Easy	Arithmetic/Number Properties	Is the product of two positive integers x and y divisible by the sum o
392	DS	Medium	Algebra	If a and b are constants is the expression
393	DS	Very Hard	Word Problems	A company makes and sells two products p and q the costs per unit of
394	DS	Medium	Probability	Jill has applied for a job with each of two different companies what
395	DS	Easy	Word Problems	A certain computer company produces two different monitors, P and Q.
396	DS	Medium	Distance/Rate Problems	A conveyor belt moves bottles at a constant speed of 120 centimeters
397	DS	Medium	Statistics and Sets Problems	If x y and z are positive numbers what is the value of the average ar
398	DS	Medium	Geometry	The rectangular rug shown in the figure above has an accent border
399	DS	Easy	Number Properties/Algebra	If y 2xz what is the value of 2xz yz 2xz y
400	DS	Medium	Geometry	In the parallelogram shown what is the value of x
401	DS	Easy	Overlapping Sets	In a product test of a common cold remedy x percent of the patients
402	DS	Medium	Inequalities	Is x < 5 (1) x^2 > 5 (2) x^2 + x < 5
403	DS	Medium	Fractions/Ratios/Decimals/Word Prob	Three roommates bela gyorgy and janos together saved money for a tri
404	DS	Medium	Exponents/Powers/Inequalities/Numbe	Is zp negative
405	DS	Hard	Word Problems	In each game of a certain tournament a contestant either loses 3 poin
406	DS	Hard	Fractions/Ratios/Decimals	At the beginning of the year the finance committee and the planning c
407	DS	Medium	Inequalities	If xy ≠ 0 is x^3 + y^3 > 0
408	DS	Hard	Percent and Interest Problems	Max purchased a guitar for a total of 624 which consisted of the pric
409	DS	Hard	Geometry	A pentagon with 5 sides of equal length and 5 interior angles of equal
410	DS	Medium	Inequalities	If 2 00x and 3 00y are 2 numbers in decimal form with thousandths digi
411	DS	Hard	Geometry	The length width and height of a rectangular box in centimeters ar
412	DS	Medium	Number Properties	What is the sum of a certain pair of consecutive odd integers
413	DS	Medium	Algebra	Is x = y? (1) 2x/3 – y/3 = 1/3 (2) x/4 – y/4 = 0
414	DS	Medium	Number Properties	The sum of 4 different odd integers is 64 what is the value of the
415	DS	Medium	Word Problems	Was the number of books sold at bookstore x last week greater than the
416	DS	Hard	Geometry	A rectangular solid has length width and height of l cm w cm and h
417	DS	Hard	Statistics and Sets Problems	A certain list l contains a total of n numbers not necessarily dist
418	DS	Medium	Word Problems/Percent and Interest	From may 1 to may 30 in the same year the balance in a
419	DS	Hard	Percent and Interest Problems/Word	A merchant discounted the sale price of a coat and the sale price of a
420	DS	Medium	Number Properties	If the positive integer n is added to each of the integers 69 94 and
421	DS	Medium	Word Problems	If a merchant purchased a sofa from a manufacturer for 400 and then s
422	DS	Easy	Word Problems	Last year in a certain housing development the average arithmetic m
423	DS	Very Hard	Word Problems	For a certain city s library the average cost of purchasing each new
424	DS	Hard	Statistics and Sets Problems	If x is a number in the list above what is the median of the list
425	DS	Hard	Word Problems	Three dice each of which has its 6 sides numbered 1 through 6 are to
426	DS	Hard	Geometry/Number Properties	On the number line point r has coordinate r and point t has coordinat
427	DS	Medium	Word Problems	Did the population of Town C increase by at least 100 percent from the
428	DS	Easy	Combinations/Coordinate Geometry	S is a set of points in the plane how many distinct triangles can be
429	DS	Medium	Word Problems	Stores land m each sell a certain product at a different
430	DS	Easy	Fractions/Ratios/Decimals	If d denotes a decimal is d
431	DS	Very Hard	Arithmetic/Functions and Custom Cha	In the two digit integers 3 box and 2 bigtriangleup the
432	DS	Hard	Fractions/Ratios/Decimals	Two points n and q not shown lie to the right of point m on line
433	DS	Medium	Word Problems	Did the sum of the prices of three shirts exceed
434	DS	Medium	Word Problems	What is the total number of coins that bert and claire have
435	DS	Medium	Word Problems	A telephone station has x processors each of which can process a maxi
436	DS	Very Hard	Algebra/Word Problems	Kim and sue each bought some roses and some daisies at the prices show
437	DS	Medium	Percent and Interest Problems	Jazz and blues recordings accounted for 6 percent of the 840 million
438	DS	Medium	Distance/Rate Problems	On a certain nonstop trip marta averaged x miles per hour for 2 hours
439	DS	Hard	Number Properties	If x is a positive integer what is the value of x 24 1 2 x
440	DS	Medium	Geometry	A tank is filled with gasoline to a depth of exactly 2 feet the tank
441	DS	Medium	Coordinate Geometry	Of the four numbers represented on the number line above is
442	DS	Hard	Word Problems	A group consisting of several families visited an amusement park where
443	DS	Easy	Geometry	What is the area of triangular region abc above
444	DS	Medium	Coordinate Geometry	In the xy coordinate plane is point r equidistant from
445	DS	Medium	Statistics and Sets Problems	What is the ratio of the average arithmetic mean height of
446	DS	Very Hard	Arithmetic	Is the positive two digit integer n less than
447	DS	Medium	Algebra/Exponents/Powers	If 2^x + y = 4^8 what is the value of y
448	DS	Hard	Word Problems	Each week a certain salesman is paid a fixed amount equal to
449	DS	Easy	Word Problems	At a bakery all donuts are priced equally and all bagels
450	DS	Very Hard	Geometry	In the figure above is the area of triangular region abc
451	DS	Medium	Number Properties/Divisibility/Mult	If r and s are positive integers can the fraction r s be expressed as
452	DS	Easy	Inequalities	If r > 0 and s > 0 is r/s < s/r
453	DS	Hard	Remainders	If k is an integer such that 56 k 66 what is the value
454	DS	Hard	Number Properties	If x is a positive integer then is x prime 1 3x 1 is prime 2 5x
455	DS	Easy	Statistics and Sets Problems	What is the value of n in the list above
456	DS	Easy	Inequalities	If x and y are integers what is the value of x y
457	DS	Hard	Percent and Interest Problems/Word	Last year if arturo spent a total of 12 000 on his mortgage
458	DS	Medium	Inequalities	If a b c and d are positive numbers is a b c d
459	DS	Medium	Overlapping Sets	Is the number of members of club x greater than the number
460	DS	Easy	Statistics and Sets Problems	On the number line above p q r s and t are five consec
461	DS	Medium	Functions and Custom Characters	If denotes the least integer greater than or equal to x
462	DS	Hard	Inequalities	If x and y are integers is x y
463	DS	Medium	Algebra/Inequalities	If r and s are the roots of the equation x 2 bx c
464	DS	Very Hard	Geometry	The figure above represents an l shaped garden what is the value of k
465	DS	Medium	Word Problems	The only articles of clothing in a certain closet are shirts dresses
466	DS	Easy	Graphs and Illustrations/Geometry	The figure above represents a circle graph of company h s total expens
467	DS	Hard	Inequalities	If x is negative is x
468	DS	Medium	Geometry	What is the number of cans that can be packed in a certain
469	DS	Hard	Graphs and Illustrations/Arithmetic	Each of the letters in the table above represents one of the
470	DS	Very Hard	Mixture Problems	Material a costs 3 per kilogram and material b costs 5 per kilogram
471	DS	Easy	Distance/Rate Problems	At what speed was a train traveling on a trip when it had
472	DS	Hard	Statistics and Sets Problems	Tom jane and sue each purchased a new house the average
473	DS	Hard	Algebra/Inequalities	What is the value of x if x 3 x
474	DS	Very Hard	Min/Max Problems/Functions and Cust	For any integers x and y min x y and max x y denote the
475	DS	Easy	Statistics and Sets Problems	A certain bookcase has 2 shelves of books on the upper
476	DS	Very Hard	Geometry	In the figure above points a b c d and e lie on a line a is on
477	DS	Hard	Distance/Rate Problems	In planning for a trip joan estimated both the distance of the trip
478	DS	Very Hard	Statistics and Sets Problems	A certain list consists of 3 different numbers does the med
479	DS	Very Hard	Coordinate Geometry	Line l lies in the xy plane and does not pass through the origin what
480	DS	Hard	Coordinate Geometry	In the xy plane the straight line graphs of the three equations above
481	DS	Very Hard	Geometry	In the figure above pqr and stu are identical equilateral triangles
482	DS	Medium	Statistics and Sets Problems	The range of the numbers in set s is x and the range of the
483	DS	Very Hard	Geometry	The hypotenuse of a right triangle is 10 cm what is the
484	DS	Very Hard	Fractions/Ratios/Decimals/Word Prob	Six shipments of machine parts were shipped from a factory on two
485	DS	Hard	Arithmetic	If x y and z are three digit positive integers and if x
486	DS	Very Hard	Overlapping Sets	The table above shows the results of a survey of 100 voters who each
487	DS	Very Hard	Divisibility/Multiples/Factors/Word	A school administrator will assign each student in a group
488	DS	Hard	Word Problems	At a certain clothing store, customers who buy 2 shirts pay the regula
489	DS	Very Hard	Absolute Values/Modulus/Inequalitie	If q s and t are all different numbers is q s t
490	DS	Medium	Statistics and Sets Problems	What is the median number of employees assigned per project
491	DS	Very Hard	Word Problems	Last year a certain company began manufacturing product x a
492	DS	Very Hard	Word Problems/Statistics and Sets P	Beginning in january of last year carl made deposits of
493	DS	Medium	Word Problems	Are all of the numbers in a certain list of 15 numbers equal
494	DS	Easy	Statistics and Sets Problems	If the average arithmetic mean of six numbers is 75 how
495	DS	Easy	Word Problems	What amount did jean earn from the commission on her sales
496	DS	Easy	Geometry	In the figure above if the area of triangular region d is
497	DS	Medium	Exponents/Powers	If n is a positive integer and k 5 1 10 n what is the value of k
498	DS	Medium	Geometry	What is the value of x y in the figure above
499	DS	Medium	Inequalities/Roots	If n and k are positive integers is n k 1 2 2n
500	DS	Medium	Word Problems	In a certain business production index p is directly proportional to
501	DS	Medium	Fractions/Ratios/Decimals	If n is a positive integer what is the tens digit of n
502	DS	Medium	Algebra	What is the value of 2t t x t x