A set of 10 questions similar to GRE quantitative reasoning questions , with detailed solutions are presented.
Question 1A car covered 130 miles using 4 gallons of diesel. What distance would the same car cover, under similar conditions, on 6.7 gallons?A) 77 B) 260.25 C) 520 D) 217.75 E) 871 Question 2If plotted in the same rectangular system of axis, the graphs of f(x) = | |x| - 4 | and g(x) = 2 will haveA) no points of intersection B) 1 point of intersection C) 2 points of intersection D) 3 points of intersection E) 4 points of intersection Question 3Which of the following is the largest?A) 125% B) 1.25 C) 1 + 1/3 D) 4/3 E) 0.0015/0.001 Question 4| |- 10 - 19| - 20 | = ?A) 9 B) 49 C) - 49 D) 19 E) 11 Question 5The algebraic expression x / (x + 2) is undefined if x =A) 0 B) 1 C) 2 D) - 2 E) - 1 Question 6(√5 - √7)(√5 + √7) = ?A) 12 B) 2 C) 24 D) - 24 E) - 2 Question 7In the figure below the sides AB and AC of triangle ABC have equal lengths. Find the size of angle ABC.. A) 46°B) 67° C) 134° D) 136° E) Cannot be calcualated using the given information Question 8If y= 10° in the figure below, what is the value of x?. A) 20°B) 30° C) 10° D) 5° E) 15° Question 9By what percent will the volume of a rectangular solid increase if its length, width and height increase by 25% each? A) 25%B) 95% C) 74% D) 15.6% E) 50% Question 10What is the average of all prime numbers between 20 and 40?A) 20 B) 25 C) 30 D) 35 E) 40
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