Free GRE Practice Questions with Solutions -
Sample 1

A set of 10 questions similar to GRE quantitative reasoning questions , with detailed solutions are presented.

  1. Which of the following would be the value of the digit B so that the number 3B324 is divisible by 6?

    A) 0
    B) 1
    C) 2
    D) 3
    E) 4
    F) 5
    G) 6
    H) 7
    I) 8
    J) 9

  2. Which of these in NOT a prime number?

    A) 27
    B) 13
    C) 43
    D) 49
    E) 119
    F) 1111

  3. If a, b, c and d are real numbers of a date set such that a < b < c < d, which of the following statement is always true?

    A) The average (arithmetic mean) of a, b, c and d is smaller than d
    B) The average of a, b, c and d is greater than d
    C) The average of a, b, c and d is greater than a
    D) Three times the average of a, b, c and d is greater than d

  4. If x is distant by 5 units from -1, what are the possible values of x?

    A) 4
    B) - 4
    C) - 6
    D) 6
    E) 5

  5. Which of these fractions are equivalent to 6 / 8?

    A) 30 / 40
    B) 4 / 5
    C) 12 / 16
    D) 3 / 4
    E) 99 / 132
    F) 4 / 3

  6. Which of the triangles below, defined by their three sides, are right triangles?

    A) 1 , 2 , 3
    B) 6 , 8 , 10
    C) 1.2 , 1.6 , 2.0
    D) 3 , 5 , √34
    E) 10 , 12 , 20

  7. The lengths of the sides AB and AC of triangle ABC are both equal to 10 and the size of the interior angle at vertex A of triangle ABC is equal to 30. Which is true about triangle ABC?

    A) Angles ABC and ACB are equal in size.
    B) Angle ABC has a size of 30
    C) Angle ACB has a size of 75
    D) The area of triangle ABC is equal to 25

  8. Which of the following is true?

    A) x2 > 0 for all real values of x.
    B) | x | > 0 for all real values of x.
    C) x2 + 1 > 0 for all real values of x.
    D) | x + 1| > 0 for all real values of x.
    E) | x | + 1 > 0 for all real values of x.

  9. Which of the following is true for all real numbers x and y?

    A) |- x - y| = |x + y|
    B) |x - y| = |x + y|
    C) |y - x| = |x - y|
    D) |- x + y| = |x - y|

  10. a, b, c, d, e, f, and h are numbers such that a b c = 100, a d e = 0 and b f h = 0. Which of the following could be true?

    A) a = 0
    B) d = 0 or f = 0
    C) d e not equal to 0
    D) f = 0 or h = 0



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