Free GRE Practice Questions with Solutions - Sample 1

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

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

Which of these in NOT a prime number?

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

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

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

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

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

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

Which of the following is true?

A) x^{2} > 0 for all real values of x.
B) | x | > 0 for all real values of x.
C) x^{2} + 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.

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|

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