GRE Exam Numerical Ability Geometry

In triangle ABC, the measure of angle B is 90°, the length of side AB is 4, and the length of side BC is x. If the length of hypotenuse AC is between 4 and 8, which of the following could be the value of x ? Indicate all such values.
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
(F) 6

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GRE Other Question

Each month, a certain manufacturing company’s total expenses are equal to a fixed monthly expense plus a variable expense that is directly proportional to the number of units produced by the company during that month. If the company’s total expenses for a month in which it produces 20,000 units are $570,000, and the total expenses for a month in which it produces 25,000 units are $705,000, what is the company’s fixed monthly expense?
(A) $27,000
(B) $30,000
(C) $67,500
(D) $109,800
(E) $135,000 A certain experiment has three possible outcomes. The outcomes are mutually exclusive and have probabilities p, p/2 and p/4 respectively. What is the value of p ?
(A) 1/7
(B) 2/7
(C) 3/7
(D) 4/7
(E) 5/7