MBA Exam Numerical Ability Time Distance and Speed

A bird starts flying from a place O towards B via A. There is no wind resistance from O to A. But there is uniform wind resistance between A and B. To travel from O to B the bird takes 12 minutes, whereas to travel from B to O via A, the bird takes 14 minutes. Had there been wind resistance between O and A also (which equals that between A and B), the bird would have taken only 11 minutes to travel from O to B. O, A and B are collinear.If there was the same wind resistance between O and A as between A and B, what would be the time taken by the bird to travel from B to O?

1) 12.5 min
2) 15.4 min
3) 18.2 min
4) none of these

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MBA Other Question
The foot of a ladder is 15m long, is 9m from a house and its top reaches the upper part of a circular window. When the foot is drawn to a distance of 3m away from the house, the top reaches the lower edge of the window. Find the area of the window.

1) 5(2/3)
2) 6
3) 7(1/14)
4) 8(2/3)
 The arithmetic mean of two numbers is smaller by 24 than the larger of the two numbers and the GM of the same numbers exceeds by 12 the smaller of the numbers.Find the numbers.(Kindly provide the solution as well)

1) 6 and 54
2) 8 and 56
3) 12 and 60
4) 7 and 55
5) none of these