GRE Exam Numerical Ability Algebra

x, y and z are integers such that xy + z = 7, xz + y = 5 and x + y + z = 6. What is the value of xyz ? (A) 9 (B) 6 (C) 12 (D) 15 (E) 10

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GRE Other Question

180 students go to a school book exhibition. 110 buy English books, 90 buy Hindi books and at least 30 buy both. What is the least number of students who could have bought neither English nor Hindi books ? If a triangle ABC is equilateral and side AB has a length of s, then what is the area of triangle ABC in terms of s ? (A) 3s² (B) √3 s² (C) (√3/4) s² (D) s²/4 (E) (√3/2) s²