MBA Exam

f (x) = (x âˆ’ a)^3 + (x âˆ’ b)^3 + (x âˆ’ c)^3 , a < b < c.The number of real roots of f (x) = 0 is

1) 3
2) 2
3) 1
4) 0

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MBA Other Question

f(x)+f(y) = f(x+y) and f(8) = 32. then find f(36). [x and y are non-negative integers]

1) 72
2) 108
3) 144
4) 180
Answer the questions on the basis of the information given below.From a point D outside a circle, two tangents DA and DB are drawn as shown in the figure given below. It is also given that AC = CB, where point C lies on the given circle, AB = 2 cm and the measure of âˆ ACB is 30Â°.The distance (in cm) between the incenter of the triangle ABD and point C is

1) 4
2) 2sqrt(3)
3) 3sqrt(2)
4) 5
5) 6