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Browse complete papersA tower is in the shape of a cylinder surmounted by an inverted cone of the same base area as that of the cylinder. If the radius and height of the cylinder are 2√6 m and 14 m respectively and the height of the cone is 5 m, then the lateral surface area (in square meters) of the tower is
330
220√6
330√6
220
Correct answer
330
The part above the cone filled with ice-cream looks as a hemisphere surmounted on its top. If the height and the radius of the cone are 13 cm and 4 cm respectively, then the volume (in cu.cm) of the ice-cream is
198
176
352
396
Correct answer
198
From a wooden cube of edge 14 cm, a right circular cone of maximum volume is carved out. If the volume of the removed portion of the cube is V, then 3 V (in cu.cm) is
2744
2025.33
868
6076
Correct answer
2744
A solid metallic right circular cylinder of radius 3 inches and height 8 inches is melted and recast into identical hemispheres whose base is equal to the base of the cylinder. Then the number of hemispheres thus formed is
2
4
6
8
Correct answer
2
A solid iron cube of edge 24 cm is melted and recast into a rectangular sheet of thickness 2 mm. If the length (l) and breadth (b) of the sheet are in the ratio 6:5, then l + b (in cm) is
484
528
561
594
Correct answer
484
A vendor sells vegetables at 12% less than the cost price, but manipulates the weight of 800 gms as 1 kg. Then he gets
10% profit
10% loss
15% profit
15% loss
Correct answer
10% profit
A dealer bought an article for Rs. 400 and paid Rs. 40 towards its transport charges. If he sold it for a profit of 20% on the cost price, then he gets
a loss of Rs. 40
a profit of Rs. 40
a loss of Rs. 80
a profit of Rs. 80
Correct answer
a loss of Rs. 40
A telephone is sold for Rs. 4,000 at a loss of 10%. Then the price (in Rs.) at which it must be sold in order to get a profit of 17% is
4,400
4,800
5,200
5,600
Correct answer
4,400
If a certain principal amounts to Rs. 34,000 in 3 years and to Rs. 40,000 in 5 years at a simple interest of r% per year, then r =
8
15
10
12
Correct answer
8
If a principal of Rs. x, at a rate of interest 20% compounded annually for 4 years amounts to Rs. 62,208, then x =
30,000
40,000
35,000
45,000
Correct answer
30,000