MBA Exam

F(x) is a cubic polynomial and the coefficients of F(x) are rational. If the graph of F(x) touches the x-axis, then how many rational roots does F(x) = 0 have?

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

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MBA Other Question

There is a work to be done by three friends A,B,C Three of them take 5 hours less than A alone would have taken.one third that B alone would have taken and two ninths of the time C alone would have taken.How long does it take for the three of them to finish the work?

1) 3 hours
2) 4 hours
3) 5 hours
4) none of these
ΔABC is an equilateral triangle. Point D is the place where the medians of the ΔABC meet. Find the ratio of the areas of two square DJKL and ADFE to the area of the ΔABC.

1) 4 : 3√3
2) 5 : 3√3
3) 3√3 : 4
4) 1 : 2