MBA Exam

A square is drawn with all its vertices on a regular hexagon. If the area of the hexagon is 6 *root (3)what is the side (in cm) of the square

1) 7 - 3*root(3)
2) 6 - 2*root(3)
3) 7 - 2*root(3)
4) 8 - 3*root(3)

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MBA Other Question
There are t taps numbered 1,2 and so on till t, each of which can fill a cistern. the rate of filling of the nth ta is such that it is equal to twice that of all the taps from 1 to (n-1) put together. If the 18th tap can fill the cistern in 2 minutes, then find the time in which the 15th tap alone can fill the empty cistern.

1) 27
2) 34
3) 54
4) 72
 There are 3 boxes A, B, and C in which 9 balls comprising 3 identical red balls, 3 identical blue balls and 3 identical green balls are to be placed such that there are exactly 3 balls in each box and no box contains all three balls of the same colour. In how many ways can this be done?

1) 31
2) 35
3) 25
4) 49