Problem Solving Questions for GMAT

Time Duration: 30 minutes

Directions to solve: Read each of the following problems, Then tick mark the correct answer on the answer sheet. [On the actual test sheet you will be allowed to use the available space for rough work. ]

IMPORTANT NOTE: A figure that appears with a problem must be drawn very accurately, so as to give information that may help in answering the question. Numbers in this test are real numbers.

  1. If the side of a square increase by 40%, then the area of the square increased by-

    1. 16%

    2. 40%

    3. 96%

    4. 116%

    5. 140%

  2. If 28 cans of soda cost $21.00, then 7 cans of soda should cost-

    1. $5.25

    2. $5.50

    3. $6.40

    4. $7.00

    5. $10.50

  3. A college has raised 75% of the amount it needs for a new building by receiving an average donation of $60 from the people already solicited. The people already solicited represent 60% of the people the college will ask for donations. If the college is to raise exactly the amount needed for the new building, how much must the remaining people donate per person?

    1. $25

    2. $30

    3. $40

    4. $50

    5. $60

  4. If 2x + y = 10 and x = 3, what is x-y?

    1. -4

    2. -1

    3. 0

    4. 1

    5. 7

  5. If a worker can pack ⅙ of a carton of canned food in 15 minutes and there are 40 workers in a factory, how many cartons should be packed in the factory in 1 ⅔ hours?

    1. 33

    2. 40 2/9

    3. 43 4/9

    4. 44 4/9

    5. 45 ⅔

  6. Which of the following inequalities is the solution to the inequality 7x − 5 < 2x + 18?

    1. x < 13/5

    2. x > 23/9

    3. x < 23/9

    4. x > 23/5

    5. x < 23/5

  7. A truck driver must complete a 180-mile trip in 4 hours. If he averages 50 miles an hour for the first three hours of his trip, how fast must he travel in the final hour?

    1. 30 mph

    2. 35 mph

    3. 40 mph

    4. 45 mph

    5. 50 mph

  8. If a triangle has base B and the altitude of the triangle is twice the base, then the area of the triangle will be-

    1. ½ AB

    2. AB

    3. ½ B2

    4. B2

    5. 2B2

  9. If the product of two numbers is 10 and the sum of the two numbers is 7, then the larger of the two numbers will be-

    1. -2

    2. 2

    3. 3

    4. 4 ¼

    5. 5

  10. Oranges cost $Xa bag for the first 100 bags a store buys from a wholesaler. All bags bought in addition to the first 100 get a discount of 10 %. How much does it cost to buy 150 bags of oranges from the wholesaler?

    1. $100

    2. $140x

    3. $145x

    4. $150x

    5. $100x + $50

  11. If the lengths of the two sides of a right triangle adjacent to the right angle are 8 and 15 respectively, Then the length of the side opposite the right angle is-

    1. 258

    2. 15.8

    3. 16

    4. 17

    5. 17.9

  12. It costs x each to print the first 600 copies of a newspaper. It costs (x-y/10) for every copy after the first 600. How much does it cost to print 1, 500 copies of the newspaper?

    1. 1500x

    2. 150y

    3. (1, 500x − 90y)

    4. $ (150x − 9y)

    5. $15x

  13. Which of the following sets of values for w, x, y, and z respectively are possible if ABCD is a parallelogram?

    1. 50, 130, 50, 130

    2. 60, 110, 70, 120

    3. 60, 150, 50, 150

      1. 1 only

      2. 2 only

      3. 1 and 2 only

      4. 1 and 3 only

      5. 1, 2 and 3

  14. John weights twice as much as Marcia. Marcia's weight is 60% of Bob's weight. Dave weights 50% of Lee's weight. Lee weighs 190% of John's weight. Which of these 5 persons weights the least?

    1. Bob

    2. Dave

    3. John

    4. Lee

    5. Marcia

  15. The sum of 5 consecutive integers is 35. How many of the five consecutive integers are prime numbers?

    1. 0

    2. 1

    3. 2

    4. 3

    5. 4

  16. Circle 1 has the same radius as circle 2. A is the center of circle 1, and B is the center of circle 2. Circle 1 and circle 2 meet only at C. ACB is a straight line segment of length 10. What is the length of DB if DA is perpendicular to AC?

    1. 10

    2. 55

    3. 11

    4. 102

    5. 15

  17. The assessed value of a house is $72, 000. The assessed value is 60% of the market value of the house. If taxes are $3 for every $1, 000 of the market value of the house, how much are the taxes on the house?

    1. $216

    2. $360

    3. $1, 386

    4. $2, 160

    5. $3, 600

  18. If the operation * is defined by * a = a2 − 2, then * ( * 5) is-

    1. 23

    2. 527

    3. 529

    4. 621

    5. 623

  19. If y/x = ⅓ and x + 2y = 10, then x is-

    1. 2

    2. 3

    3. 4

    4. 5

    5. 6

  20. What is the area of the parallelogram ABCD? A = (1, 1), B = (2, 2), C = (5, 2), and D = (4, 1)

    1. 3

    2. 4

    3. 41/2

    4. 9

    5. 10

  21. The area of a rectangular field is 1, 000 square yards. If the length of the field is y yards, then how many yards is the perimeter of the field?

    1. y + 1, 000/y

    2. 2y + 1, 000

    3. 1, 000

    4. 2y + 1, 000/y

    5. 2y + 2, 000/y

  22. The figure ABCDEFGH is a cube. AB = 10. What is the length of the line segment AF?

    1. 10

    2. 102

    3. 103

    4. 20

    5. 105

  23. If the product of 3 consecutive integers is 210, then the sum of the two smaller integers is-

    1. 5

    2. 11

    3. 12

    4. 13

    5. 18

  24. If X and Y are negative numbers, which of the statements given below is or are always true?

    1. X-Y is negative

    2. If-X is positive

    3. If-X and-Y is positive

      1. 1 only

      2. 2 only

      3. 1 and 2 only

      4. 2 and 3 only

      5. 1 and 3 only

  25. ABCD has area equal to 28. BC is parallel to AD. BA is perpendicular to AD. If BC is 6 and AD is 8, then what is CD?

    1. 22

    2. 2 × 3

    3. 4

    4. 25

    5. 6

  26. A manufacturer prints books at a cost of $x each for the first thousand copies printed. The second thousand copies printed cost $. 9x each. If it costs $3, 264 to print 1, 400 copies of a book, then x is

    1. 1.63

    2. 2.10

    3. 2.33

    4. 2.40

    5. 2.59