# Free GRE Practice Questions with Solutions - Sample 1

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

## Question 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

## Question 2

Which of these in NOT a prime number?
A) 27
B) 13
C) 43
D) 49
E) 119
F) 1111

## Question 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

## Question 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

## Question 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

## Question 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

## Question 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

## Question 8

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.

## Question 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|

## Question 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

## More References and Links to Maths Practice Tests

Free GRE Quantitative for Practice
Free Practice for GAMT Math tests
Free Compass Math tests Practice
Free Practice for SAT, ACT Math tests
Free AP Calculus Questions (AB and BC) with Answers