MBA Exam

If a and c are integers and 3<= a <=7 and c>=0, how many equations of the form ax^2+12x+c=0 have real roots?

1) 39
2) 48
3) 36
4) 40
5) 44

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MBA Other Question

Fifty white marbles are placed in a row. What is the minimum number
of black marbles that need to be placed between the white marbles such
that each marble (white or black) has at least one neighbour of the
other colour?

1) 24
2) 49
3) 48
4) 25
A race track is in the form of a right triangle. The longer leg of the track is 2 km more than the shorter leg (both the legs being on a highway at right angle to each other). The start and end points are also connected to each other through a side road. The escort vehicle for the race took the side road and rode with a speed of 30 k/h and covered the two intervals along the highway during the same time with a speed of 42 k/h. Find the length of the race track.

1) 14 km
2) 10 km
3) 24 km
4) 36 km
5) 18 km