A set of 10 questions similar to the GMAT problem solving, with detailed solutions are presented.
Question 1ABC is a triangle whose sides AB and BC have length of 3 and 5 respectively. Which of the following could be the length of side AC?(I) 8 (II) 12 (III) 0.5 A) (I) only B) (II) only C) (III) only D) (I) and (II) only E) None Question 2Given the followingIf √ x = 3, then x4 = A) 6561 B) 9 C) 81 D) 729 E) 3 Question 3If n is an odd integer, then which of the following is even?(I) n2 (II) n2 + 1 (III) 3n2 - 1 A) (I) only B) (II) only C) (III) only D) (I) and (II) only E) (II) and (III) only Question 48×2100 + 4×2101 =A) 2101 B) 2102 C) 2103 D) 2104 E) 2105 Question 5If 3x + 5y = 5 and x + 3y = 20, then 2x + 4y =A) 25 B) 25 / 2 C) 25 / 4 D) 15 E) 15 / 2 Question 6If n is positive and less than 1, then which of the following is true?(I) n2 - n < 0 (II) n3 < n (III) n + 1 < 1 A) (I) only B) (II) only C) (III) only D) (I) and (II) only E) (II) and (III) only Question 7Which of the following has the greatest value?A) 250% B) 2 + 1/2 C) 5 × 0.5 D) 1 / 0.1 E) 4 Question 8(4x2 - 4) / (- 3x + 3) =A) (- 4/3)(x + 1) B) x + 1 C) (4/3)(x + 1) D) 4 (x - 1) E) (4/3)(x + 1) Question 9For what values of b and c will the equation x2 + bx = c have the solutions 2 and -3?A) b = 2 , c = -3 B) b = 1 , c = 3 C) b = 1 , c = - 6 D) b = 1 , c = 6 E) b = 2 , c = 6 Question 10(√12 - √3)(-√12 + √3)A) 9 B) - 9 C) 15 D) - 15 E) 18
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