MBA Exam

If (xyz)= 30^6Find the natural no. solutions of this equation....

1) 28^2
2) 28^3
3) 30^2
4) 30^3

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MBA Other Question

Two functions are defined on xy plane for any arbit point(x, y) where x, y, a, b are positive. Given, f(x, y) = (ax, y) and g(x, y) = (x, by). If the quadrilateral formed by (3, 4), f(3, 4), (5, 6) and g(5, 6) is convex then which among the following is true?

1) If b > 1, then a < 5/3
2) If a > 5/3, then b > 2/3
3) If 1 < a < 5/3 then b < 2/3
4) At least two of the above
Treat the questions independent of each other.For how many integral values of m does the graph of the quadratic function f(x) = 3x2 – 2x + 3 (where x is a real number) and the line y = 3/2mx have no point of intersection.

1) 1
2) 2
3) 3
4) 8