MBA Exam

For real m, n the function f(x) = 1/(mx+n). What is the relation between m and n such that there exist distinct real p, q, r where f(p) = q, f(q) = r, f(r) = p?

1) n= -m<sup>2</sup>
2) n = m<sup>2</sup>
3) m = -n<sup>2</sup>
4) m = n<sup>2</sup>

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MBA Other Question
Arjun and Barun walk at a speed of 5 km/hr and 4 km/hr respectively. Each of them can drive a car at 30 km/hr and cycle at 15 km/hr. There are three places to be visited-1. Water kingdom2. Nicco-Park3. Science CityIn order to reduce traffic and promote fuel efficient travel routes, the places are connected to each other through independent walk, car and cycle paths. The places are connected together such that.In Between : Water – kingdom and Nicco-park – The car route is 60% longer than the walk route and 20% longer than the cycle route.In Between : Nicco-park and Science City – The car route is 25% longer than the walk and 10% longer than the cycle path. There is no independent path between water-kingdom and science city. From anywhere along the path (car or cycle) one can get on to the walk path and vice-versa in10 minutes. It may be assumed that when a person moves from the first path to the second path and vice-versa, he moves in such a way that he reaches a point on the walk path which is exactly at a proportional distance to the distance already covered in the first path.Read the following information to answer the next questions.Question: If in the previous question, Barun’s cycle gets a puncture 30 minutes after starting and then he gets on to the walk path, what should be the length of the walk path between a point “x” and Science City, if he reaches “x” at the same time Arjun reaches Nicco-park?

1) 36.5 km
2) 25/3 km
3) 25 4/15 km
4) 20.5 km
 f(x)=(x+n+1)(x+n+2).....(x+2n) where n is a fixed number.Find f'(n)

1) (2n)!
2) (2n)!(1/(n+1)!+1/(n+2)!+...+1/(2n)!)
3) (3n)!
4) (3n)!/(2n)!*(1/(2n+1)+1/(2n+2)+....+1/(3n))