GRE Exam Numerical Ability Permutation and Combination

In how many different ways can the letters of the word SINISTER be arranged such that two S are never together? A)2520 B)7560 C)8280 D)10080

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GRE Other Question

Machines A and B always operate independently and at their respective constant rates. When working alone, Machine A can fill a production lot in 3 hours, and Machine B can fill the same lot in x hours. If A and B worked alternatively, while each work for 1 hour at a time, the total work gets completed in 4 hours. What is the value of x? A)8 B)9 C)6 D)5 E)7 The area of an equilateral triangle is √3 times the area of an isosceles triangle. If the three sides of the isosceles triangle are 5, 5 and 6. Find the length of each side of the equilateral triangle.
A) 4 B) 6 C) 4√3 D) 8 E) 6√ 3