MBA Exam

Concentriccircles radii 1, 2, 3, ... , 100 are drawn. The interior of thesmallest circle is colored red and the annular regions are coloredalternately green and red, so that no two adjacent regions are the samecolor. The total area of the green regions divided by the area of thelargest circle is

1) 1/2
2) 51/100
3) 101/200
4) 50/101
5) None of the foregoing

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MBA Other Question
x^4-y^4 = 844Find the number of pairs of positive integers (x,y)a) 3!b) 2!c) 4d) 4!-2!*2e)none of these

1) A
2) B
3) C
4) D
5) E
 In triangle ABC, AB = 13, BC = 15 and CA = 14. Point D is on BC with CD = 6. Point E is on BC such that ∠BAE = ∠CAD. Given that BE = p/q where p and q are relatively prime positive integers, find q.

1) 338
2) 469
3) 463
4) 336