For the following questions answer them individually
If the radius of a sphere is increased by 2 m, its surface-area is increased by 704 m$$^2$$. What is the radius of the original sphere?(Use $$\pi = \frac{22}{7}$$)
A right circular cylinderis circumscribing a hemisphere such that their bases are common. The ratio of their volumes is
A man invested $$\frac{1}{3}$$ of his capital at 7%, $$\frac{1}{4}$$ at 8% and the remaining at 10% rate of simple interest. If his annual income from interests is Rs. 561, the capital invested was
A sum of money lent at compound interest amounts to Rs. 1460 in 2 years and to Rs. 1606 in 3 years.The rate of interest per annum is
If A travels to his school from his house at the speed of 3 km/hr. then he reaches the school 5 minutes late. If he travels at the speed of 4 km/hr, he reaches the school 5 minutes earlier than school time. The distance of his school from his house is
A train travelling with a speed of 60 km/hr catches another train travelling in the same direction and then leaves it 120 m behind in 18 seconds. The speed of the second train is
A and B together can complete a piece of work in 12 days and B and C together in 15 days. If A is twice as good a workman as C, then in how many days will be alone complete the same work ?
4 men and 6 women together can complete a work in 8 days while 3 men and 7 women together can complete it in 10 days. 20 womenworking together will complete it in
The average of two numbers A and B is 20, that of B and C is 19 and of C and A it is 21. What is the value of A?
