Free GMAT Practice Problems with Solutions
Sample 1

A set of 10 questions similar to the GMAT problem solving, with detailed solutions are presented.

  1. ABC is a triangle whose sides AB and BC have length of 3 and 5 respectively. Which of the following could be the length of side AC?

    (I) 8
    (II) 12
    (III) 0.5

    A) (I) only
    B) (II) only
    C) (III) only
    D) (I) and (II) only
    E) None
  2. Given the following

    If √ x = 3, then x4 =

    A) 6561
    B) 9
    C) 81
    D) 729
    E) 3
  3. If n is an odd integer, then which of the following is even?

    (I) n2
    (II) n2 + 1
    (III) 3n2 - 1

    A) (I) only
    B) (II) only
    C) (III) only
    D) (I) and (II) only
    E) (II) and (III) only

  4. 82100 + 42101 =

    A) 2101
    B) 2102
    C) 2103
    D) 2104
    E) 2105
  5. If 3x + 5y = 5 and x + 3y = 20, then 2x + 4y =

    A) 25
    B) 25 / 2
    C) 25 / 4
    D) 15
    E) 15 / 2
  6. If n is positive and less than 1, then which of the following is true?

    (I) n2 - n < 0
    (II) n3 < n
    (III) n + 1 < 1

    A) (I) only
    B) (II) only
    C) (III) only
    D) (I) and (II) only
    E) (II) and (III) only
  7. Which of the following has the greatest value?

    A) 250%
    B) 2 + 1/2
    C) 5 0.5
    D) 1 / 0.1
    E) 4
  8. (4x2 - 4) / (- 3x + 3) =

    A) (- 4/3)(x + 1)
    B) x + 1
    C) (4/3)(x + 1)
    D) 4 (x - 1)
    E) (4/3)(x + 1)
  9. For what values of b and c will the equation x2 + bx = c have the solutions 2 and -3?

    A) b = 2 , c = -3
    B) b = 1 , c = 3
    C) b = 1 , c = - 6
    D) b = 1 , c = 6
    E) b = 2 , c = 6
  10. (√12 - √3)(-√12 + √3)

    A) 9
    B) - 9
    C) 15
    D) - 15
    E) 18



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