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May 0312:30 AM EDT
-01:30 AM EDT
Learn how Kamakshi achieved a GMAT 675 with an impressive 96th %ile in Data Insights. Discover the unique methods and exam strategies that helped her excel in DI along with other sections for a balanced and high score.
All GMAT Prep Classic Problem Solving (PS) and Data Sufficiency (DS) questions
(LINKS TO ALL 825 QUESTIONS)
1. A garden store purchased a number of shovels and a number of rakes. If
2. Is the product of a certain pair of integers even?
3. If K is an integer and 2 < K < 8, what is the value of K ?
4. On the number line above, is the product of w, x, y and z negative?
5. If y and z are integers, is y*(z + 1) odd? (1) y is odd (2)
6. If x is a positive integer, is x<16?
7. Of the 25 cars sold at a certain dealership yesterday, some had automa
8. Is x to the right of -5 on the number line?
9. Is y between -2 and 1 on the number line?
10. Is r to the right of -6 on the number line?
11. At a certain restaurant, if each hamburger costs the same am
12. What is the value of n?
13. In a certain conference room each row of chairs has the same number of
14. What is the price for a certain meal listed on a menu? (1) The total
15. What is the value of 6x - 10 ? (1) 3x - 5 = 16 (2) 12x - 10 = 74
16. At a refreshment stand, each can of soda sells for the same price and
17. If x = 1/2, is y equal to 1? (1) y^2(x + 1/2) = 1 (2) y(2x - 1) = 2x
18. For the students in class A, the range of their heights is r centimete
19. Beth's bank charges a service fee on a regular checking account for ea
20. How many hours did it take Helen to drive from her house to her parent
21. Last Friday each of the pets at a certain veterinary clinic was given
22. Does x + y = 5 ? (1) 4x + y = 17 (2) x + 4y = 8
23. What is the total value of Company H's stock?
24. Is x-y+1 greater than x+y-1 ?
25. During a sale, for each shirt that Mark purchased at the regular price
26. What is the remainder when the positive integer x is divided by 3 ?
27. What was the percent increase in the population of City K from 1980 to
28. In isosceles triangle RST what is the measure of angle R?
29. In the finite sequence of positive integers K1, K2, K3, ..., K9, each
30. Is x + y negative? (1) x is negative. (2) y is positive.
31. Is the integer x divisible by 6?
32. In the figure above, if x and y are each less than 90 and PS
33. A bookstore that sells used books sells each of its paperbac
34. If x and y are integers, what is the value of x+y?
35. Is x less than 20?
36. Is the integer k divisible by 4 ? (1) 8k is divisible by 16. (2) 9k is
37. For each customer, a bakery charges p dollars for the first loaf of
38. If the terms of a sequence are t1, t2, t3, ..., tn, what is the value
39. If x is a negative number, what is the value of x?
40. Is |x| > |y|? (1) x^2 > y^2 (2) x > y
41. If u, v, and w are integers, is u > 0 ?
42. If p is a prime number greater than 2, what is the value of p ?
43. Is k positive? (1) k is between -2 and 3 on the number line. (2) k is
44. In the figure above, segments PQ and PR are each parallel to one of th
45. What is the retail price of a certain calculator? (1) The retail pri
46. What is the remainder when the positive integer n is divided by 6?
47. Is the integer r divisible by 3?
48. What is the value of y ? (1) y is an odd integer between 28 and 34.
49. What is the value of 5x^2 + 4x - 1 ? (1) x(x + 2) = 0 (2) x = 0
50. If M is a finite set of negative integers, is the total number of inte
51. A certain bag contains red, blue, and green marbles. What is the ratio
52. What is the value of x ? (1) y - x = y - 6 (2) x + 2y = 10
53. What is the number of members of Club X who are at least 35
54. If xy = -18, is x less than y? (1) x < 0 (2) y < 10
55. An insurance company has a contract with a medical laboratory to pay a
56. If P, Q, and R are points on the number line, what is the di
57. If x is positive, what is the value of y ?
58. How many of the students in a certain class are taking both a history
59. If integer p is greater than 1, is p a prime number?
60. A certain company divides its total advertising budget into
61. S is a finite set of numbers. Does S contain more negative numbers tha
62. On the number line, if the number k is to the left of the number t, is
63. If l and k are lines in the xy-plane, is the product of the slopes of
64. An attorney charged a fee for estate planning services for a certain
65. If x is an integer, is (x^2+1)(x+5) an even number?
66. A certain theater has a total of 884 seats, of which 500 are
67. At a certain pet shop, 1/3 of the pets are dogs and 1/5 of the pets
68. If the symbol @ represents either addition or multiplication, which op
69. Is x > 0.05? (1) x > 3/40 (2) x is greater than 3 percent of 50
70. A wooden rod is cut into two pieces. What is the length of the longer
71. A store sells milk in cartons of two sizes, one-half gallon and one-qu
72. In the xy-coordinate plane, the slope of line l is 3/4. Does line l pa
73. If N is a positive Integer, is the units digit of N equal to zero?
74. If x and y are positive integers, what is the value of xy?
75. A manufacturer conducted a survey to determine how many peop
76. Is x between 0 and 1? (1) x is between -1/2 and 3/2 (2) 3/4 is 1/4
77. Is p + pz = p? (1) p = 0 (2) z = 0
78. If the product of the three digits of the positive integer k is 14, wh
79. The attendees at a certain convention purchased a total of 15,000 book
80. If x and y are positive integers,what is the value of x + y?
81. What is the value of h ? (1) h^2 = 36 (2) h^2 + 12h = -36
82. Janson's salary and Karen's salary were each p percent
83. Of the 1,000 companies responding to a certain survey, what percent in
84. If p is a positive integer, what is the value of p?
85. Is y < 2x ? (1) y/4 < x/2 (2) (y - 2x)/3 <0
86. Is x > y? (1) x + y < 0 (2) x - y > 0
87. This morning, a certain sugar container was full. Since then some of
88. If a and b are positive numbers, what are the coordinates of
89. Is 4z > -6 ? (1) z < 7 (2) z > -1
1. How many different prime numbers are factors of the positive integer n?
2. If n and m are positive integers, what is the remainder when 3^(4n+2)
3. Of the 800 students at a certain college, 250 students live on campus
4. Lines n and p lie in the xy-plane. Is the slope of line n less than the
5. What is the hundredths digit of the decimal z?
6. Is z equal to the median of the three positive integers, x, y, and z?
7. If a certain charity collected a total of 360 books, videos
8. Of the 800 sweaters in a certain store, 150 are red. How
9. Which of Company X and Company Y earned the greater gross profit last
10. Is w greater than 1? (1) w + 2 > 0 (2) w^2 > 1
11. Al, Pablo, and Marsha shared the driving on a 1,500-mile trip. Which
12. During an experiment, some water was removed from each of
13. When 1,000 children were inoculated with a certain vaccine,
14. If r and s are positive integers, is r/s an integer?
15. John and Mary own shares of stock in a certain company. Does
16. Each person in a certain group supports only one of two cand
17. In the xy-plane, at what two points does the graph of y=(x+a)(x+b)
18. How many of the 42 people in a group are employed students?
19. Is m ≠ n ? (1) m + n < 0 (2) mn < 0
20. If the average (arithmetic mean) of four different numbers is 30, how
21. If wx = y, then what is the value of xy?
22. Malik's recipe for 4 servings of a certain dish requires 3/2
23. During a sale, a clothing store sold each shirt at a price of $15 and
24. Ann deposited money into two new accounts, A and B. Account A earns 5
25. The cost of delivery for an order of desk chairs was $10.00 for the fi
26. What is the tens digit of the positive integer r?
27. What is the average (arithmetic mean) of eleven consecutive
28. If n is an integer between 10 and 99, is n < 80?
29. In the figure above, what is the ratio KN/MN?
30. Each of the students in a certain class received a single grade of P
31. What is the greatest common divisor of positive integers m and n ?
32. If m > 0 and n > 0, is (m + x)/(n + x) > m/n?
33. In the rectangular coordinate system shown above, does the
34. If the sum of the three different numbers is 54, what is the largest
35. What was Jean's insurance premium in 1995 ?
36. A combined of 55 light bulbs are stored in two boxes; of these, a total
36. Three friends rented a car for a week and divided the cost equally. Wh
37. R = 1 + 2xy + x^2y^2, what is the value of xy?
38. If x, y, and z are positive integers, what is the remainder when 100x
39. Each person attending a fund-raising party for a certain club was
40. For a certain set of n numbers, where n > 1, is the average (arithmeti
41. Pat bought 5 pounds of apples. How many pounds of pears could he have
42. The sequence a1, a2, a3, ..., an of n integers is such that ak = k if
43. The point A, B, C, and D are on the number line, not necessa
44. Is (x + 1)/(x - 3) < 0 ? (1) -1 < x < 1 (2) x^2 - 4 < 0
45. In the sequence of positive numbers x1, x2, x3, ..., what is the value
46. At a certain company, average (arithmetic mean)number of
47. During a one day sale, a store sold each sweater of a certain type for
48. An integer grater than 1 that is not prime is called composite. If the
49. To fill an order, a manufacturer had to produce 1000 tools per day for
50. If x is a positive integer, what is the least common multiple of x, 6
51. If m, r, x and y are positive, the ratio of m to r equal to the ratio
52. If a, b, k, and m are positive integers, is a^k a factor of b^m?
53. If xyz > 0, is x > 0? (1) xy > 0 (2) xz > 0
54. If n is a positive integer and r is the remainder when 4 + 7n is divid
55. If Company M ordered a total of 50 computers and printers an
56. If the average (arithmetic mean) of the five numbers x, 7, 2, 16 and
57. At a two-day seminar, 90 percent of those registered attended the semi
58. If m, k, x, and y are positive numbers, is mx + ky > kx + my ?
59. In the xy-plane, what is the y-intercept of line l?
60. If x and y are positive integers , is the product xy even
61. In the figure shown, what is the value of x?
62. If 0 < x < y, what is the value of (x + y)^2/(x- y)^2?
63. If the operation ∆ is one of the four arithmetic operations addition
64. If s and t are two different numbers on the number line, is s + t = 0
65. What is the remainder when the positive integer x is divided by 6?
66. On a certain sight-seeing tour, the ratio of the number of women to th
67. If k is a positive integer, then 20k is divisible by how man
68. Is x < y ? (1) 2x < 3y (2) xy > 0
1. Of the students who eat in a certain cafeteria, each student either
2. If p is a positive odd integer, what is the remainder when p is divide
3. Six countries in a certain region sent a total of 75 representatives
4. A certain one-day seminar consisted of a morning session and
5. At least 100 students at a certain high school study japanes
6. If p and n are positive integers and p > n, what is the remainder when
7. If x is positive, is x > 3 ? (1) (x - 1)^2 > 4 (2) (x - 2)^2 > 9
8. Machines X and Y work at their respective constant rates. How many mor
9. A construction company was paid a total of $500,000 for a construction
10. Of the 60 animals on a certain farm, 2/3 are either pigs or cows. How
11. Are at least 10 percent of the people in Country X who are 65 years
12. If x is a positive number less than 10, is z greater than the average
13. In triangle ABC above, what is the length of side BC?
14. On Jane's credit card account, the average daily balance for 30-day
15. If the integer n is greater than 1, is n equal to 2?
16. Is 1/(a - b) > b - a ? (1) a < b (2) 1 < |a - b|
17. If x and y are integers greater than 1, is x a multiple of y?
18. Is ((x-3)^2)^(1/2) = 3-x? (1) x ≠ 3 (2) -x|x| > 0
19. If z^n = 1, what is the value of z?
20. Henry purchased 3 items during a sale. He received a 20 percent discou
21. A contractor combined x tons of a gravel mixture that contained 10 per
22. During a 40-mile trip, Marla traveled at an average speed of
23. The positive integer k has exactly two positive prime factors, 3 and 7
24. If it took Carlos 1/2 hour to cycle from his house to the library yest
25. In the figure shown, the measure of angle PRS is how many degrees grea
26. If $1,000 is deposited in a certain bank account and remains in the
27. On her way home from work, Janet drives through several
28. Each employee of a certain task force is either a manager or a directo
29. In the xy-plane, does the line with equation y = 3x + 2 contains the
30. The sum of positive integers x and y is 77. What is value of xy?
31. Did it take Pei more than 2 hours to walk a distance of 10 miles along
32. Each of the 25 balls in a certain box is either red, blue or white and
33. If n is a positive integer and r is the remainder when (n - 1)(n + 1)
34. What fraction of this year's graduating students at a certain college
35. Linda put an amount of money into each of two new investments, A and B
36. Of the 1400 college teachers surveyed, 42% said they considered engagi
37. If x, y and z are integers and xy + z is an odd integer, is x an even
38. On the number line, the distance between x and y is greater than the
39. If the integers a and n are greater than 1 and the product of the firs
40. If n and t are positive integers, what is the greatest prime factor of
41. Is |x - y| > |x| - |y|? (1) y < x (2) xy < 0
42. The sum of the integers in list S is the same as the sum of the intege
43. If there are more than two numbers in a certain list, is each of the
44. Are x and y both positive? (1) 2x - 2y = 1 (2) x/y > 1
45. In a certain year, the difference between Mary's and Jim's annual sala
46. The positive integers x, y, and z are such that x is a factor of y and
47. Jack and Mark both received hourly wage increases of 6 perce
48. If integers x, y and z are greater than 1 what is the value
49. On the number line shown, is zero halfway between r and s ?
50. Of the 75 houses in a certain community, 48 have a patio. How many of
51. How many odd integers are greater than the integer x and
52. Did one of the 3 members of a certain team sell at least 2 raffle tick
53. Martha bought an armchair and a coffee table at an action and sold bot
54. Each employee of Company Z is an employee of either division X or divi
55. Ellen can purchase a certain computer at a local store at th
56. For each month of next year, Company R's monthly revenue target is x
57. Is m + z > 0 (1) m - 3z > 0 (2) 4z - m > 0
58. The cost of a square slab is proportional to its thickness and also
59. If Bob produces 36 or fewer in a week, he is paid X dollars
60. In the sequence shown, a_n=a_(n-1)+k, where 2<=n<=15 and k
(LINKS TO ALL 825 QUESTIONS)
CONTENT
1. DATA SUFFICIENCY: PART 1 (217 QUESTIONS)
2. DATA SUFFICIENCY: PART 2 (218 QUESTIONS)
3. PROBLEM SOLVING: PART 1 (194 QUESTIONS)
4. PROBLEM SOLVING: PART 2 (196 QUESTIONS)
5. GMAT PREP QUESTIONS NEVER BEFORE POSTED ON GMAT CLUB (21DS + 46PS QUESTIONS)
1. DATA SUFFICIENCY: PART 1 (217 QUESTIONS)
2. DATA SUFFICIENCY: PART 2 (218 QUESTIONS)
3. PROBLEM SOLVING: PART 1 (194 QUESTIONS)
4. PROBLEM SOLVING: PART 2 (196 QUESTIONS)
5. GMAT PREP QUESTIONS NEVER BEFORE POSTED ON GMAT CLUB (21DS + 46PS QUESTIONS)
DATA SUFFICIENCY
PART 1 (217 QUESTIONS)
SUB-600
1. A garden store purchased a number of shovels and a number of rakes. If
2. Is the product of a certain pair of integers even?
3. If K is an integer and 2 < K < 8, what is the value of K ?
4. On the number line above, is the product of w, x, y and z negative?
5. If y and z are integers, is y*(z + 1) odd? (1) y is odd (2)
6. If x is a positive integer, is x<16?
7. Of the 25 cars sold at a certain dealership yesterday, some had automa
8. Is x to the right of -5 on the number line?
9. Is y between -2 and 1 on the number line?
10. Is r to the right of -6 on the number line?
11. At a certain restaurant, if each hamburger costs the same am
12. What is the value of n?
13. In a certain conference room each row of chairs has the same number of
14. What is the price for a certain meal listed on a menu? (1) The total
15. What is the value of 6x - 10 ? (1) 3x - 5 = 16 (2) 12x - 10 = 74
16. At a refreshment stand, each can of soda sells for the same price and
17. If x = 1/2, is y equal to 1? (1) y^2(x + 1/2) = 1 (2) y(2x - 1) = 2x
18. For the students in class A, the range of their heights is r centimete
19. Beth's bank charges a service fee on a regular checking account for ea
20. How many hours did it take Helen to drive from her house to her parent
21. Last Friday each of the pets at a certain veterinary clinic was given
22. Does x + y = 5 ? (1) 4x + y = 17 (2) x + 4y = 8
23. What is the total value of Company H's stock?
24. Is x-y+1 greater than x+y-1 ?
25. During a sale, for each shirt that Mark purchased at the regular price
26. What is the remainder when the positive integer x is divided by 3 ?
27. What was the percent increase in the population of City K from 1980 to
28. In isosceles triangle RST what is the measure of angle R?
29. In the finite sequence of positive integers K1, K2, K3, ..., K9, each
30. Is x + y negative? (1) x is negative. (2) y is positive.
31. Is the integer x divisible by 6?
32. In the figure above, if x and y are each less than 90 and PS
33. A bookstore that sells used books sells each of its paperbac
34. If x and y are integers, what is the value of x+y?
35. Is x less than 20?
36. Is the integer k divisible by 4 ? (1) 8k is divisible by 16. (2) 9k is
37. For each customer, a bakery charges p dollars for the first loaf of
38. If the terms of a sequence are t1, t2, t3, ..., tn, what is the value
39. If x is a negative number, what is the value of x?
40. Is |x| > |y|? (1) x^2 > y^2 (2) x > y
41. If u, v, and w are integers, is u > 0 ?
42. If p is a prime number greater than 2, what is the value of p ?
43. Is k positive? (1) k is between -2 and 3 on the number line. (2) k is
44. In the figure above, segments PQ and PR are each parallel to one of th
45. What is the retail price of a certain calculator? (1) The retail pri
46. What is the remainder when the positive integer n is divided by 6?
47. Is the integer r divisible by 3?
48. What is the value of y ? (1) y is an odd integer between 28 and 34.
49. What is the value of 5x^2 + 4x - 1 ? (1) x(x + 2) = 0 (2) x = 0
50. If M is a finite set of negative integers, is the total number of inte
51. A certain bag contains red, blue, and green marbles. What is the ratio
52. What is the value of x ? (1) y - x = y - 6 (2) x + 2y = 10
53. What is the number of members of Club X who are at least 35
54. If xy = -18, is x less than y? (1) x < 0 (2) y < 10
55. An insurance company has a contract with a medical laboratory to pay a
56. If P, Q, and R are points on the number line, what is the di
57. If x is positive, what is the value of y ?
58. How many of the students in a certain class are taking both a history
59. If integer p is greater than 1, is p a prime number?
60. A certain company divides its total advertising budget into
61. S is a finite set of numbers. Does S contain more negative numbers tha
62. On the number line, if the number k is to the left of the number t, is
63. If l and k are lines in the xy-plane, is the product of the slopes of
64. An attorney charged a fee for estate planning services for a certain
65. If x is an integer, is (x^2+1)(x+5) an even number?
66. A certain theater has a total of 884 seats, of which 500 are
67. At a certain pet shop, 1/3 of the pets are dogs and 1/5 of the pets
68. If the symbol @ represents either addition or multiplication, which op
69. Is x > 0.05? (1) x > 3/40 (2) x is greater than 3 percent of 50
70. A wooden rod is cut into two pieces. What is the length of the longer
71. A store sells milk in cartons of two sizes, one-half gallon and one-qu
72. In the xy-coordinate plane, the slope of line l is 3/4. Does line l pa
73. If N is a positive Integer, is the units digit of N equal to zero?
74. If x and y are positive integers, what is the value of xy?
75. A manufacturer conducted a survey to determine how many peop
76. Is x between 0 and 1? (1) x is between -1/2 and 3/2 (2) 3/4 is 1/4
77. Is p + pz = p? (1) p = 0 (2) z = 0
78. If the product of the three digits of the positive integer k is 14, wh
79. The attendees at a certain convention purchased a total of 15,000 book
80. If x and y are positive integers,what is the value of x + y?
81. What is the value of h ? (1) h^2 = 36 (2) h^2 + 12h = -36
82. Janson's salary and Karen's salary were each p percent
83. Of the 1,000 companies responding to a certain survey, what percent in
84. If p is a positive integer, what is the value of p?
85. Is y < 2x ? (1) y/4 < x/2 (2) (y - 2x)/3 <0
86. Is x > y? (1) x + y < 0 (2) x - y > 0
87. This morning, a certain sugar container was full. Since then some of
88. If a and b are positive numbers, what are the coordinates of
89. Is 4z > -6 ? (1) z < 7 (2) z > -1
600-700
1. How many different prime numbers are factors of the positive integer n?
2. If n and m are positive integers, what is the remainder when 3^(4n+2)
3. Of the 800 students at a certain college, 250 students live on campus
4. Lines n and p lie in the xy-plane. Is the slope of line n less than the
5. What is the hundredths digit of the decimal z?
6. Is z equal to the median of the three positive integers, x, y, and z?
7. If a certain charity collected a total of 360 books, videos
8. Of the 800 sweaters in a certain store, 150 are red. How
9. Which of Company X and Company Y earned the greater gross profit last
10. Is w greater than 1? (1) w + 2 > 0 (2) w^2 > 1
11. Al, Pablo, and Marsha shared the driving on a 1,500-mile trip. Which
12. During an experiment, some water was removed from each of
13. When 1,000 children were inoculated with a certain vaccine,
14. If r and s are positive integers, is r/s an integer?
15. John and Mary own shares of stock in a certain company. Does
16. Each person in a certain group supports only one of two cand
17. In the xy-plane, at what two points does the graph of y=(x+a)(x+b)
18. How many of the 42 people in a group are employed students?
19. Is m ≠ n ? (1) m + n < 0 (2) mn < 0
20. If the average (arithmetic mean) of four different numbers is 30, how
21. If wx = y, then what is the value of xy?
22. Malik's recipe for 4 servings of a certain dish requires 3/2
23. During a sale, a clothing store sold each shirt at a price of $15 and
24. Ann deposited money into two new accounts, A and B. Account A earns 5
25. The cost of delivery for an order of desk chairs was $10.00 for the fi
26. What is the tens digit of the positive integer r?
27. What is the average (arithmetic mean) of eleven consecutive
28. If n is an integer between 10 and 99, is n < 80?
29. In the figure above, what is the ratio KN/MN?
30. Each of the students in a certain class received a single grade of P
31. What is the greatest common divisor of positive integers m and n ?
32. If m > 0 and n > 0, is (m + x)/(n + x) > m/n?
33. In the rectangular coordinate system shown above, does the
34. If the sum of the three different numbers is 54, what is the largest
35. What was Jean's insurance premium in 1995 ?
36. A combined of 55 light bulbs are stored in two boxes; of these, a total
36. Three friends rented a car for a week and divided the cost equally. Wh
37. R = 1 + 2xy + x^2y^2, what is the value of xy?
38. If x, y, and z are positive integers, what is the remainder when 100x
39. Each person attending a fund-raising party for a certain club was
40. For a certain set of n numbers, where n > 1, is the average (arithmeti
41. Pat bought 5 pounds of apples. How many pounds of pears could he have
42. The sequence a1, a2, a3, ..., an of n integers is such that ak = k if
43. The point A, B, C, and D are on the number line, not necessa
44. Is (x + 1)/(x - 3) < 0 ? (1) -1 < x < 1 (2) x^2 - 4 < 0
45. In the sequence of positive numbers x1, x2, x3, ..., what is the value
46. At a certain company, average (arithmetic mean)number of
47. During a one day sale, a store sold each sweater of a certain type for
48. An integer grater than 1 that is not prime is called composite. If the
49. To fill an order, a manufacturer had to produce 1000 tools per day for
50. If x is a positive integer, what is the least common multiple of x, 6
51. If m, r, x and y are positive, the ratio of m to r equal to the ratio
52. If a, b, k, and m are positive integers, is a^k a factor of b^m?
53. If xyz > 0, is x > 0? (1) xy > 0 (2) xz > 0
54. If n is a positive integer and r is the remainder when 4 + 7n is divid
55. If Company M ordered a total of 50 computers and printers an
56. If the average (arithmetic mean) of the five numbers x, 7, 2, 16 and
57. At a two-day seminar, 90 percent of those registered attended the semi
58. If m, k, x, and y are positive numbers, is mx + ky > kx + my ?
59. In the xy-plane, what is the y-intercept of line l?
60. If x and y are positive integers , is the product xy even
61. In the figure shown, what is the value of x?
62. If 0 < x < y, what is the value of (x + y)^2/(x- y)^2?
63. If the operation ∆ is one of the four arithmetic operations addition
64. If s and t are two different numbers on the number line, is s + t = 0
65. What is the remainder when the positive integer x is divided by 6?
66. On a certain sight-seeing tour, the ratio of the number of women to th
67. If k is a positive integer, then 20k is divisible by how man
68. Is x < y ? (1) 2x < 3y (2) xy > 0
700+
1. Of the students who eat in a certain cafeteria, each student either
2. If p is a positive odd integer, what is the remainder when p is divide
3. Six countries in a certain region sent a total of 75 representatives
4. A certain one-day seminar consisted of a morning session and
5. At least 100 students at a certain high school study japanes
6. If p and n are positive integers and p > n, what is the remainder when
7. If x is positive, is x > 3 ? (1) (x - 1)^2 > 4 (2) (x - 2)^2 > 9
8. Machines X and Y work at their respective constant rates. How many mor
9. A construction company was paid a total of $500,000 for a construction
10. Of the 60 animals on a certain farm, 2/3 are either pigs or cows. How
11. Are at least 10 percent of the people in Country X who are 65 years
12. If x is a positive number less than 10, is z greater than the average
13. In triangle ABC above, what is the length of side BC?
14. On Jane's credit card account, the average daily balance for 30-day
15. If the integer n is greater than 1, is n equal to 2?
16. Is 1/(a - b) > b - a ? (1) a < b (2) 1 < |a - b|
17. If x and y are integers greater than 1, is x a multiple of y?
18. Is ((x-3)^2)^(1/2) = 3-x? (1) x ≠ 3 (2) -x|x| > 0
19. If z^n = 1, what is the value of z?
20. Henry purchased 3 items during a sale. He received a 20 percent discou
21. A contractor combined x tons of a gravel mixture that contained 10 per
22. During a 40-mile trip, Marla traveled at an average speed of
23. The positive integer k has exactly two positive prime factors, 3 and 7
24. If it took Carlos 1/2 hour to cycle from his house to the library yest
25. In the figure shown, the measure of angle PRS is how many degrees grea
26. If $1,000 is deposited in a certain bank account and remains in the
27. On her way home from work, Janet drives through several
28. Each employee of a certain task force is either a manager or a directo
29. In the xy-plane, does the line with equation y = 3x + 2 contains the
30. The sum of positive integers x and y is 77. What is value of xy?
31. Did it take Pei more than 2 hours to walk a distance of 10 miles along
32. Each of the 25 balls in a certain box is either red, blue or white and
33. If n is a positive integer and r is the remainder when (n - 1)(n + 1)
34. What fraction of this year's graduating students at a certain college
35. Linda put an amount of money into each of two new investments, A and B
36. Of the 1400 college teachers surveyed, 42% said they considered engagi
37. If x, y and z are integers and xy + z is an odd integer, is x an even
38. On the number line, the distance between x and y is greater than the
39. If the integers a and n are greater than 1 and the product of the firs
40. If n and t are positive integers, what is the greatest prime factor of
41. Is |x - y| > |x| - |y|? (1) y < x (2) xy < 0
42. The sum of the integers in list S is the same as the sum of the intege
43. If there are more than two numbers in a certain list, is each of the
44. Are x and y both positive? (1) 2x - 2y = 1 (2) x/y > 1
45. In a certain year, the difference between Mary's and Jim's annual sala
46. The positive integers x, y, and z are such that x is a factor of y and
47. Jack and Mark both received hourly wage increases of 6 perce
48. If integers x, y and z are greater than 1 what is the value
49. On the number line shown, is zero halfway between r and s ?
50. Of the 75 houses in a certain community, 48 have a patio. How many of
51. How many odd integers are greater than the integer x and
52. Did one of the 3 members of a certain team sell at least 2 raffle tick
53. Martha bought an armchair and a coffee table at an action and sold bot
54. Each employee of Company Z is an employee of either division X or divi
55. Ellen can purchase a certain computer at a local store at th
56. For each month of next year, Company R's monthly revenue target is x
57. Is m + z > 0 (1) m - 3z > 0 (2) 4z - m > 0
58. The cost of a square slab is proportional to its thickness and also
59. If Bob produces 36 or fewer in a week, he is paid X dollars
60. In the sequence shown, a_n=a_(n-1)+k, where 2<=n<=15 and k
22 Oct 2019, 09:57
Kudos
Bookmarks
DATA SUFFICIENCY
PART 2 (218 QUESTIONS)
SUB-600
1. Is m > k? (1) 3m > 3k (2) 2m > 2k
2. If w and z are positive is w/z < 1 ?
3. The sale price of a certain jacket was 15 percent less than its origin
4. Each of the 105 students in a certain club is either a freshman, sopho
5. Of the people who attended a workshop, 60 percent were teachers and so
6. Jane walked for 4 miles. What was her average speed for the first 2 mi
7. Is xy + xz = 0? (1) x = 0 (2) y + z = 0
8. Is |k| = 2? (1) k^2 = 4 (2) k = |-2|
9. Are the two nonzero integers x and y on opposite sides of 0 on the num
10. Does set S contain any even numbers ?
11. A certain movie depicted product A in 21 scenes, product B in 7 scenes
12. If n is an integer, is n/7 an integer? (1) 3n/7 is an integer (2) 5n/7
13. Are the integers z and f to the right of 0 on the number
14. Some of the students enrolled at college T are part-time
15. What is the value of 3n - 4? (1) 6n – 10 = 30 (2) n/3 = 20/9
16. How many people received a certain survey?
17. If x and z are integers, is at least one of them even?
18. Three thousand families live in a certain town. How many families who
19. There are two types of rolls on a counter, plain rolls and seeded roll
20. Is the hundredths digit of the decimal d greater than 5?
21. What is the value of 2x + 2y ? (1) 3x + 5y = 60 (2) 5x + 3y = 68
22. Is the positive integer n an odd integer?
23. What is the total surface area of rectangular solid R ?
24. What is the greatest integer that is less than t?
25. A certain group of car dealerships agreed to donate x dollars to a Red
26. If n is an integer, is -3x^n positive?
27. Each of the offices in a certain building has a floor area
28. Is n divisible by 12 ? (1) n/6 is an integer. (2) n/4 is an integer.
29. Do more than 50% of the children in a certain group have
30. If x + y ≠ 0. What is the value of (ax + ay)/(x + y)?
31. What is the ratio of p to r ? (1) The ratio of p to 3r is 5 to 9
32. X and Y are sets of positive integers. Is the greatest integer in X gr
33. The lifetime of all the batteries produced by a certain company in a
34. What is the median of a certain set of 7 numbers?
35. For each home sold in County X, the buyer and the seller each must pay
36. A certain bank charges a maintenance fee on a standard checking accoun
37. In the figure above, lines l1 and l2 are parallel. What is the value
38. In the coordinate plane above, what is the area of rectangular region
39. How much did the taxi driver charge George for the trip to the airport
40. A child selected a three-digit number, XYZ, where X, Y, and Z denote
41. If b is positive, is ab positive?
42. If x/2 = 3/y, is x less than y? (1) y >= 3 (2) y <= 4
43. A state legislature had a total of 96 members. The members who did not
44. List S and list T each contain 5 positive integers, and for each list
45. On the number line, what is the distance between the point 2x and the
46. Is x >= 3 ? (1) x^2 - 9 = 0 (2) x < 10
47. At a two-candidate election for mayor, 3/4 of the registered voters ca
48. If n is the product of the least and the greatest of 6 consecutive int
49. If r and t are positive integers, is rt even?
50. If machine J, working alone at its constant rate, takes 2 minutes to
51. At a certain stand, all soft drinks cost the same and all sandwiches
52. In the xy-plane, point P has coordinates (a, b) and point Q has coordi
53. Does x + c = y + c ?
54. If n is an integer between 3 and 9, what is the value of n ?
55. Beth and Jim each received a salary increase. If Jim's salary was inc
56. All the clients that Company X had at the beginning of last
57. In a certain election, 240 men and 280 women voted for the winning can
58. Greta and Randy collected bottles to be recycled. How many bottles did
59. Each week Connie receives a base salary of $500, plus a 20 percent com
60. Working at a constant rate respectively, pumps X and Y took 48 hours
61. What is the value of v^3 - k^3 ?
62. An antique dealer bought a coffee table that was then sold for a profi
63. Is the positive integer j divisible by a greater number of
64. A recent lunch meeting at a certain club was attended by members and
65. If # denotes one of the four arithmetic operations addition, subtracti
66. If k is a line in the xy-plane, what is the slope of k ?
67. If Mary always takes the same route to work, how long did it take Mary
68. What was a certain company's revenue last year?
69. In 1984 a certain union had a total of 15,600 members. Was the percent
70. A certain economics class consists of 50 women and 30 men. H
71. If n is a three-digit positive integer, what is the sum of the digits
72. The retail price of a certain refrigerator is 1.6 times its wholesale
600-700
1. If x, y and z are integers, is x + y + 2z even?
2. The operation* represents either addition, subtraction, or multiplicat
3. If n and p are integers, is p > 0?
4. Is the integer n odd? (1) n is divisible by 3 (2) 2n is divisible by
5. In the table above, is z = 20q?
6. One member of a committee of 5 men and 8 women resigned and was not re
7. If x and y are greater than 0, is x = 1
8. Is the positive integer n odd?
9. If a wire 27 meters long is cut into three pieces of three
10. If a > 0, b > 0 and c > 0, is a(b - c) = 0?
11. Are positive integers p and q both greater than n ?
12. What is the value of xy? (1) y = x + 1 (2) y = x^2 + 1
13. If c and d are integers, is c even?
14. If set S consists of the numbers 1, 5, -2, 8, and n, is 0 <
15. Last Thursday, John assembled chairs at a rate of 3 chairs
16. The symbol # represents one of the four arithmetic operation
17. A certain store sells chairs individually or in sets of 6. The store
18. If k does not equal 0, 1 or -1, is 1/k > 0 (1) 1/(k-1) > 0
19. When the positive integer n is divided by 25, the remainder
20. If m is a positive odd integer, what is the average (arithmetic mean)
21. What is the ratio of the number of cups of flour to the number of cups
22. If the eleven consecutive integers are listed from least to greatest,
23. Of the 4,800 voters who voted for or against Resolution K
24. Over a certain time period, did the number of shares of stock in Ruth'
25. Is |x| = y - z ? (1) x + y = z (2) x < 0
26. At a certain bakery, each roll costs r cents and each doughnut costs
27. Is x > 0 ? (1) xy > 0 (2) x + y > 0
28. How much time did it take a certain car to travel 400
29. Is the integer n a multiple of 15?
30. What is the value of a^4 - b^4 ?
31. If |x + 2| = 4, what is the value of x ? (1) x^2 ≠ 4 (2) x^2 = 36
32. If v and w are different integers, does v = 0? (1) vw = v^2 (2) w = 2
33. Robin split a total of $24,000 between two investments, X and Y. If in
34. Martha bought several pencils. If each pencil was either a
35. If x and y are integers and x > 0, is y > 0?
36. If m and n are positive integers and mn = k, is m + n = k + 1?
37. If (x + y)/z = -2, is x positive? (1) z is negative. (2) y is positive
38. What is the remainder when the positive integer n is divided by the po
39. If n and s are each 2-digit positive integers, is n greater than s ?
40. A certain motel has a total of 540 units, each of which has a 1-person
41. If @ denotes one of two arithmetic operations, addition or
42. Is y < (x + z)/2 ? (1) y - x < z - y (2) z - y > (z - x)/2
43. Set S consists of 20 different positive integers. How many
44. What is the average (arithmetic mean) height of the n people in a cert
45. How many more first-time jobless claims were filed in week P than in
46. A manufacturer produced x percent more video cameras in 1994 than in
47. Of the 20 people who each purchased 2 tickets to a concert, some used
48. If k is a 3 digit positive number, what is the hundred digit
49. If a, b, and c are positive integers, is b between a and c?
50. At a certain refreshment stand, all hot dogs have the same price and
51. If a certain company purchased computers at $2000 each and printers $
52. If x = 3 and y = 6, is y > nx + k ? (1) n = 5 (2) k = -10
53. Is the average (arithmetic mean) of 5 different positive integers at
54. On his trip from Alba to Benton, Julio drove the first x miles at an
55. To install cable television in a home, a certain cable company charges
56. Each of the numbers w, x, y, and z is equal to either 0 or 1. What is
57. If n is a positive integer and r is the remainder when n^2 - 1 is
58. A certain circular area has its center at point P and has
59. If zt < -3, is z < 4 ? (1) z < 9 (2) t < -4
60. If a and b are nonzero numbers on the number line, is 0 between a and
61. In the xy-plane, line k passes through the point (1, 1) and line m
62. Ann bought five different kinds of fruit: apples, oranges, pears
63. If a, b, and c are integers, what is the value of a?
64. The numbers of books read by 7 students last year were 10, 5
65. If r is the remainder when the positive integer n is divided by 7 what
66. Warehouse W's revenue from the sale of sofas was what percen
67. The cost of each adult's ticket for a certain concert was $3
68. For a certain play performance, adults' tickets were sold for $12 each
69. Linda, Robert, and Pat packed a certain number of boxes with books. Wh
700+
1. If k is a positive integer, is k the square of an integer?
2. One kilogram of a certain coffee blend consists of x kilogram of type
3. Juan bought some paperback books that cost $8 each and some
4. What is the value of the positive integer m ?
5. Sets A, B, and C have some elements in common. If 16 elements are in
6. Store S sold a total of 90 copies of a certain book during
7. Set S consists of five consecutive integers, and set T consi
8. If -2x > 3y, is x negative? (1) y > 0 (2) 2x + 5y - 20 = 0
9. Is 1/p > r/(r^2 + 2) ? (1) p = r (2) r > 0
10. If x and y are integers, is the value of x(y + 1) even?
11. Is positive integer n divisible by 3 ?
12. If ax + b = 0, is x > 0 (1) a + b > 0 (2) a - b > 0
13. Circle C and line K lie in the XY plane. If circle C is centered at th
14. In the fraction x/y, where x and y are positive integers, what is the
15. Whenever martin has a restaurant bill with an amount between
16. For Manufacturer M, the cost C of producing X units of its
17. If y is an integer and y = |x| + x, is y = 0?
18. A certain list consist of several different integers. Is the product
19. Does the integer k have a factor p such that 1 < p < k ?
20. If y>=0, What is the value of x? (1) |x-3|>=y (2) |x-3|<=-y
21. If a < y < z < b, is |y - a | < |y - b | ?
22. If ab≠0 and points (-a, b) and (-b, a) are in the same quadr
23. If q is a positive integer less than 17 and r is the remainder when 17
24. In 1999, Company X's gross profit was what percent of its
25. At the bakery, Lew spent a total of $6.00 for one kind of
26. If n is a positive integer, is n^3 n divisible by 4 ?
27. If x ≠ -y is (x - y)/(x + y) > 1? (1) x > 0 (2) y < 0
28. If n is an integer between 2 and 100 and if n is also the square of an
29. If x and y are positive integers such that x = 8y + 12, what is the
30. In the rectangular coordinate system, are the points (r,s) and (u,v)
31. Is the square root of (x - 5)^2 = 5 - x ? (1) -x|x| > 0 (2) 5 - x > 0
32. Is x + y < 1 ? (1) x < 8/9 (2) y < 1/8
33. Is 2x - 3y < x^2 ? (1) 2x - 3y = -2 (2) x > 2 and y > 0
34. In a certain year the United Nations' total expenditures were $1.6 bil
35. If n is a positive integer and r is the remainder when (n - 1)(n + 1)
36. When positive integer n is divided by 3, the remainder is 2; and when
37. If 2/5 of the students at College C are business majors, wha
38. If t is a positive integer and r is the remainder when t^2 + 5t + 6 is
39. If w + x < 0, is w - y > 0 ? (1) x + y < 0 (2) y < x < w
40. If the drama club and music club is combined, what percent of the comb
41. If m and n are integers, is m odd?
42. If x is an integer, is the median of 5 numbers shown greater than the
43. If x and y are positive integers, is xy a multiple of 8?
44. If zy < xy < 0, is |x - z | + |x| = |z|?
45. A certain jar contains only b black marbles, w white marbles and r red
46. If 500 is the multiple of 100 that is closest to x and 400 is the mult
47. A certain list consists of five different integers. Is the average (ar
48. A store purchased 20 coats that each cost an equal amount and then sol
49. In the xy-coordinate plane, line L and line k intersect at the point
50. If mv < pv < 0, is v > 0?
51. If x and y are two points on the number line what is the
52. If the prime numbers p and t are the only prime factors of
53. In a certain senior class, 72 percent of the male students and 80 perc
54. If k is a positive integer and the tens digit of k+5 is 4
55. In 1995 Division A of company had 4850 customers. If there
56. If x and y are positive integers, is x an even integer?
57. In the figure shown, point O is the center of the semicircle and point
58. Rasheed bought two kinds of candy bars, chocolate and toffee, that cam
59. If m and r are two numbers on a number line, what is the value of r?
60. If m is a positive odd integer between 2 and 30, then m is
61. If k is an integer greater than 1, is k equal to 2^r for some positive
62. Of the 200 members of a certain association, each member who speaks Ge
63. Is x^4 + y^4 > z^4? (1) x^2 + y^2 > z^2 (2) x + y > z
64. In the xy-plane, the line k passes through the origin and through the
65. Is xy > 0? (1) x - y > -2 (2) x - 2y < -6
66. If x - y > 10, is x - y > x + y ? (1) x = 8 (2) y = -20
67. If w, x, y and z are integers such that w/x and y/z are integers, is
68. The integers m and p are such that 2<m<p, and m is not a
69. If d is a positive integer and f is the product of the first 30 positi
70. The numbers x and y are not integers. The value of x is closest to whi
71. What is the result when x is rounded to the nearest hundredt
72. At a certain theater, the cost of each adult's ticket is $5 and cost
73. At a certain bookstore, each notepad costs x dollars and
74. For each order, a mail order bookseller charges a fixed
75. Is the measure of one of the interior angles of quadrilateral ABCD equ
76. On the number line, the distance between point A and point C is 5 and
77. Is the three-digit number n less than 550?
22 Oct 2019, 09:57
Kudos
Bookmarks
PROBLEM SOLVING
PART 1 (194 QUESTIONS)
SUB-600
1. A grocery store purchased crates of 40 oranges each for $5.00 per
2. The product P of two prime numbers is between 9 and 55. If one of the
3. A certain taxi company charges $3.10 for the first 1/5 of a
4. If (1/5)^m * (1/4)^18 = 1/(2*(10)^35), then m = ?
5. A flower arrangement consists of 30 roses, each of which is either whi
6. Last year the range of the annual salaries of the 100 employees
7. If a = 7 and b = -7, what is the value of 2a - 2b + b^2 ?
8. In the figure above, the radius of circle with center O is 1
9. Last year a certain bond with a face value of $5,000 yielded 8 percent
10. If m lies between the integers p and s on the number line sh
11. (8^2)(3^3)(2^4)/96^2=
12. When 2/3 of the garments in the shipment were inspected, 18
13. In a certain baord game, a stack of 48 cards, 8 of which
14. According to the information above, how many teaspoons are equal to 3/
15. For a finite sequence of non zero numbers, the number of variations in
16. It takes Carlos 9 minutes to drive from home to work at an average rat
17. If a = 1 and b = -2, then (2a^2 + b)(x + y) + (a + b)(x - y) =
18. The formula F=9/5*C + 32 gives the relationship between the temperatu
19. For the 5 days shown in the graph, how many kilowatt-hours greater was
20. In a certain game, the units of currency of 3 countries are the crown,
21. If a > b > 0, then √a^2 - b^2
22. There are 10 children in a company's day-care center, and a pair of
23. The value of the expression above is closest to which of the following
24. The circle shown has center O and radius 4. What is the area of the sh
25. What is the sum of the different positive prime factors of 550?
26. Six machines, each working at the same constant rate
27. A certain company employs 6 senior officers and 4 junior of
28. While working alone at their constant rates computer X can process 240
29. If x ≠ 0, then root(x^2)/x=
30. √576800 is between
31. Which of the following is an integer?
32. Circular gears P and Q start rotating at the same time at
33. Mary purchased 3 theater tickets with an average (arithmetic mean) pri
34. An auction house charges a commission of 15% on the first
35. A small water pump would take 2 hours to fill an empty tank. A larger
36. The manager of a theater noted that for every 10 admissions
37. In the rectangular coordinate system above, the area of triangular
38. The number 75 can be written as the sum of the squares of 3 different
39. A certain company has 18 equally qualified applicants for 4
40. Susan drove an average speed of 30 miles per hour for the
41. At a dinner party, 5 people are to be seated around a circular table.
42. A certain builder is selling five homes for the following
43. If each term in the sum a1+a2+a3+...+an is either 7 or 77 and the sum
44. The table above shows the distribution of test scores for a
45. If a quality control check is made inspecting a sample of 2
46. At the end of the first quarter, the share price of a certain mutual
47. Which of the following is equal to x^18 for all positive values of x ?
48. At a certain college there are twice as many english majors
49. In the rectangular coordinate system above, the area of triangle PQR
50. In the rectangular coordinate system above, for which of the shaded re
51. In the figure below, a square is inscribed in a circle. If the area of
52. If x/y = 2/3, then (x - y)/x?
53. If x is a negative integer, which of the following expressions has the
54. At a constant Rate of flow, it takes 20 minutes to fill a swimming poo
55. If xy+z=x(y+z), which of the following must be true?
56. If -3 is 6 more than x, what is the value of x/3?
57. A list of measurements in increasing order is 4, 5, 6, 8, 10 and x. If
58. If the average (arithmetic mean) of the 4 numbers n +2, 2n - 3, 4n + 1
59. If a certain sample of data has a mean of 20.0 and a standard deviatio
60. In the arithmetic sequence t1, t2, t3, ..., tn, t1=23 and tn
61. The residents of Town X participated in a survey to determine the numb
62. If N is a positive integer less than 200, and 14N/60 is an
63. For a certain exam, a score of 58 was 2 standard deviations below mean
64. The figure shows seven train stations and the distances, in miles, alo
65. Which of the following is closest to the value of 999/(100+1/999)?
66. Jill, who lives in City C, plans to visit 3 different cities, M, L, an
67. Of the 12 temporary employees in a certain company, 4 will
68. The figure shown represents a piece of land that is in the
69. Which of the following is equal to the value of 2^5 + 2^5 + 3^5 + 3^5
70. The total cost of a vacation was divided equally among 3 people. If
71. The table shows the number of red blood cells per cubic millimeter of
72. The table above shows the number of days worked by a certain sales rep
73. According to the table, the median acreage managed by the Federal Land
74. If d is the standard deviation x, y, and z, what is the standard devia
75. A student worked for 20 days. For each of the amounts shown in the fir
76. A 4-person task force is to be formed from the 4 men and 3 w
77. For each of her sales, a saleswoman receives a commission eq
78. The cost to park a car in a certain parking garage is $8.00 for up to
79. If x and y are integers and 3^(x-4) = 3^(y+2), what is y in
80. If 5^21 * 4^11 = 2 * 10^n, what is the value of n?
81. In a survey of students, each student selected from a list
82. If m = 9/25, w = 15/32, and m + w+ c = 1, which of the
83. Each of 10 machines works at the same constant rate doing a
84. Machine A, working alone at its constant rate, manufactures 280 bolts
85. A long-distance telephone company charges a monthly fee of $4.95 plus
86. Company C has a machine that, working alone at its constant rate, proc
87. If n is a positive integer and the product of all integers from 1 to n
88. If 2^x-2^(x-2)=3*2^13 what is the value of x?
89. If a, b, c, and d are consecutive even integers and a < b < c < d, the
90. Committee X has 4 members, committee Y has 5 members, and these commit
91. Which of the following must be equal to (x^6)(x^4) ?
92. If n and y are positive integers and 450y = n^3 which of the following
93. The architects of a certain type of building estimate construction cos
94. The total price of a basic computer and a printer was $2,500. If the
95. Julia purchased a car on an installment plan. She made a down payment
96. A metal company's old machine makes bolts at a constant rate of 100
97. The main ingredient in a certain prescription drug capsule cost $500
98. Adam and Beth each drove from Smallville to Crown City by different ro
99. If two sides of a triangle have lengths 2 and 5 which of the following
100. A certain kennel will house 24 dogs for 7 days. Each dog requires 10
101. A retailer sold an appliance for $80. If the retailer's gross profit
102. A certain company sold 800 units of its product for $8 each and 1,000
103. Which of the following equations is NOT equivalent to 4x^2 = y^2 - 9 ?
104. On a certain day, Tim invested $1,000 at 10 percent annual interest
105. A certain state levies a 4% tax on the nightly rates of hotel room. A
106. Peter and Tom shared the driving on a certain trip. If Peter
107. At what simple annual interest rate must $2,500 be invested if it is
600-700
1. In a stack of boards at a lumber yard, the 20th board counting from th
2. The value of (10^8-10^2)/(10^7-10^3) is closest to which of the follow
3. At a speed of 50 miles per hour, a certain car uses 1 gallon of
4. Which of the following numbers is greater than three fourths of the nu
5. If xy = 1, what is the value of 2^(x + y)^2/2^(x-y)^2?
6. A furniture dealer purchased a desk for $150 and then set the
7. Of the following, which is least?
8. In a certain deck of cards, each card has a positive integer
9. Three grades of milk are 1 percent, 2 percent and 3 percent
10. A certain stock exchange designates each stock with a one-, two- or th
11. All of the stocks on the over the counter market are designated by eit
12. Mark bought a set of 6 flower pots of different sizes at a
13. A committee of three people is to be chosen from four married couples.
14. The table above shows the distribution of scores on a geography quiz
15. Which of the following inequalities has a solution set that, when
16. If is n is multiple of 5, and n=p^2*q where p and q are prim
17. In the graduating class of a certain college, 48 percent of
18. Rates for having a manuscript typed at a certain typing
19. As shown in the figure above, a thin conveyor belt 15 feet long is
20. For which of the following functions is f(a + b) = f(a) + f(b) for all
21. If in a certain population, people are born at an average rate of 9 pe
22. For how many integers n is 2^n = n^2 ?
23. The number of stamps that Kaye and Alberto had were in the
24. If the perimeter of square region S and the perimeter of rec
25. On July 1 of last year, total employees at company E was dec
26. The scores on a certain history test are shown above. How
27. A firm has 4 senior partners and 6 junior partners. How many different
28. From a bag containing 12 identical blue balls, y identical
29. If r and s are integers and rs + r is odd, which of the following must
30. An investment of d dollars at k percent simple annual
31. In the addition table shown above, what is the value of m+n
32. A company has two types of machines, type R and type S
33. A circular jogging track forms the edge of a circular lake that has a
34. According to the directions on a can of frozen orange juice concentrat
35. Two water pumps, working simultaneously at their respective constant
36. In the figure above, equilateral triangle ABC is inscribed in the
37. Last year, a certain public transportation system sold an average
38. What is the sum of the integers in the table above?
39. For all positive integers m, [m]=3m when m is odd and [m]=(1/2)*m when
40. If 0 < x < 1, what is the median of the values x, x^-1, x^2,
41. A used car dealer sold one car at a profit of 25 percent of
42. A certain office supply store stocks 2 sizes of self-stick
43. A vending machine is designed to dispense 8 ounces of coffee
44. Of the following integers which is the closest approximation
45. If the speed of X meters per second is equivalent to the speed of Y ki
46. If $10,000 is invested at x percent simple annual interest for n years
47. If a equals the sum of the even integers from 2 to 20, inclusive, and
48. A certain library assesses fines for overdue books as follow
49. If M = 4^(1/2) + 4^(1/3) + 4^(1/4), then the value of M is:
50. A lawyer charges her clients $200 for the first hour of her time and
51. To furnish a room in model home, an interior decorator is to select 2
52. At a repair shop, the total cost of a repair consists of the charge fo
53. In 1990 the budgets for projects Q and V were $ 660,000
54. A certain scholarship committee awarded scholarships in the
55. For which of the following functions f is f(x) = f(1-x) for all x?
56. Of the 13 employees in a certain department, 1 has an annual salary of
57. In a certain state, gasoline stations compute the price per gallon "p"
58. List K consists of 12 consecutive integers. If -4 is the least integer
59. Three boxes of supplies have an average (arithmetic mean) weight of 7
60. The table shows the number of shares of each of the 5 stocks owned by
61. A certain company charges $6 per package to ship packages weighing les
62. Each year Mark works 40 hours per week for 50 weeks. Last year Mark wa
63. If 0 < r < 1 < s < 2. Which of the following must be less than 1.
64. Pumps A, B, and C operate at their respective constant rates. Pumps A
65. A basket contains 5 apples, of which 1 is spoiled and the rest are
700+
1. For every positive even integer n, the function h(n) is defined to be
2. At a certain university, the ratio of the number of teaching assistant
3. If x^4 + y^4 = 100, then the greatest possible value of x is between
4. For every integer k from 1 to 10, inclusive the "kth term of a certain
5. A certain city with population of 132,000 is to be divided into 11
6. In the circle above, PQ is parallel to diameter OR, and OR has length
7. In the figure above, points P and Q lie on the circle with
8. Alice’s take-home pay last year was the same each month, and
9. A thin piece of wire 40 meters long is cut into two pieces. One piece
10. A company plans to assign identification numbers to its empl
11. Which of the following can be inferred from the data above?
12. A certain junior class has 1,000 students and a certain
13. A set of 15 different integers has median of 25 and a range
14. The rate of a certain chemical reaction is directly proportional to th
15. A boat traveled upstream 90 miles at an average speed of
16. The perimeter of a certain isosceles right triangle is 16 + 16*2^(1/2)
17. If x > y^2 > z^4, which of the following statements could be
18. If x is positive, which of the following could be correct ordering of
19. Before being simplified, the instructions for computing income tax in
20. If the operation is defined for all integers a and b by ab = a+b-ab
21. When a certain tree was first planted, it was 4 feet tall
22. Last month 15 homes were sold in Town X. The average (arithmetic mean)
