MBA Exam

From a solid cone of height 2 cm and radius 2*(21/2) cm, the maximum possible cube is cut. What is the volume(approximately) of the remaining portion in cubic cm? Assume pi = 22/7.

1) 10.5
2) 12
3) 13.5
4) none of these

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MBA Other Question

The angle of elevation of the top of the tower observed from each of the three points P,Q,R on the ground is 30'. If the circumradius of triangle P,Q,R on the ground is 8sqrt(3)m, then find the height of the tower.

1) 8sqrt(3)
2) 8/sqrt(3)
3) 8
4) 24
Terry Tortoise and Rabby Rabbit are best friends. Their home is 150 km apart. One day, they decided to meet. So Terry and Rabby started walking and running respectively towards each other at uniform speed at 9 am and they meet each other at 3:48 pm in the afternoon. Rabby runs at a speed 24 km/hr and stopped to take a nap after every 12 km He takes a nap for 15 minutes. Had Rabby made the journey without taking rest, they would have met 108 minutes earlier.Based on the information given below and answer the following questions.Question: At what speed Terry should walk so as not to allow Rabby his 7th nap?

1) 13.2 km / hr
2) 12.8 km / hr
3) 12 km / hr
4) 14 km / hr