MBA Exam

ABCD is a square of side 6 cm. A regular hexagon is drawn inside the square such that there is at least one vertex on each side of the square. Find the side of the regular hexagon.

1) 2√3
2) 6(√3-1)
3) 3(√3-1)
4) 3(√6-√2)
5) (2√3-√2)

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MBA Other Question

Out of n consecutive numbers , four numbers are selected such that the differences of all possible pairs are distinct. What is the least value of n for which this is possible?Please give a detailed approach with the answer.

1) 6
2) 7
3) 8
4) 9
f(x) = log_7 {log_3 ( log_5 ( 20x - x^2 - 91 ) ) }Domain is

1) (7,13)
2) (8,12)
3) (7,12)
4) (12,13)
5) None of the above