# 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) 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. 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