MBA Exam Numerical Ability Geometry

The surface of a right circular cone is painted black. The cone has height 4 and its base has radius 3. It is cut into two parts by a plane parallel to the base, so that the volume of the top part (the small cone) divided by the volume of the bottom part (the frustrum) equals the painted area of the top part divided by the painted are of the bottom part. The height of the small cone is

1) 8/3
2) 15/4
3) 5/2
4) None of these

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MBA Other Question
What is the ratio of area of an equilateral triangle and total surface area of a cuboid where the equilateral triangle is made by taking side equal to the longest rod that can be placed in the cuboid 12 m long, 9 m broad and 8 m high?

1) 289√3 : 2208
2) 17√3 : 36
3) 17 : 29
4) 29√3 : 2208
5) None of these
 The total cost of 2 pencils, 5 erasers and 7 sharpeners is Rs.30, while 3 pencils and 5 sharpeners cost Rs.15 more than 6 erasers. By what amount (in Rs.) does the cost of 39 erasers and 1 sharpenerexceed the cost of 6 pencils?(1) 20 (2) 30 (3) It does not exceed (4) Cannot be determined

1) 1
2) 2
3) 3
4) 4