Q. A right circular cylinder and a sphere have same radius and same volume. The ratio of their surface ara is
1) 8 : 3
2) 9 : 4
3) 4 : 3
4) 7 : 6
Q. A sphere and a hemisphere have the same volume. The ratio of their radii is
1) 1 : 2
2) 1 : 8
3) 1 : √2
4) 1 : 3√2
Q. Two circles with centres A and B and radius 2 nunits touch each other externally at `C'. A third circle with centre `C' and radius `2' units meets other two at D & E. Then the area of the quadrilateral ABDE is
1) 2√2 sq. unit
2) 3√3 sq. unit
3) 3√2 sq. unit
4) 2√3 sq. unit
Q. If two adjacent sides of a rectangular parallelepiped are 1 cm and 2 cm and the total surface area of the parallelepiped is 22 square cm, then the diagonal of the parallelepiped is
1) √ 10 cm
2) 2√3 cm
3) √ 14 cm
4) 4 cm
Q. The population of a village decreases at the rate of 20% per annum. If its population 2 years ago was 10,000, the present population is
1) 4600
2) 6400
3) 7600
4) 6000
Q. A person who pays income tax at the rate of 4 paise per rupee, finds that a fall of interest rate from 4% to 3.75% diminishes his net yearly income by Rs. 48. What is his capital?
1) Rs. 24,000
2) Rs. 25,000
3) Rs. 20,000
4) Rs. 18,000
Q. A man can swim at the rate of 4 km/hr in still water. If the speed of the water is 2km/hr, then the time taken by him to swim 10 km upstream is
1) 2 1/2 hrs
2) 3 1/2 hrs
3) 5 hrs
4) 4 hrs
Q. A train is running at a speed of 90 km/hr. If it crosses a signal in 10 sec, the length of the train in metres is
1) 150
2) 324
3) 900
4) 250
Q. Kishan spends 30% of his salary on food and donates 3% in a Charitable Trust. He spends Rs. 2,310 on these two items, then total salary for that month is
1) Rs. 6,000
2) Rs. 8,000
3) Rs. 9,000
4) Rs. 7,000
Q. A's salary is increased by 10% and then decreased by 10%. The change in salary is
1) 0%
2) 1% decrease
3) 1% increase
4) 2% decrease
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