SSC CGL Tier-2 2010 Maths

Instructions

For the following questions answer them individually

Question 81

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 $$\pi = \frac{22}{7}$$)

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Question 82

A right circular cylinderis circumscribing a hemisphere such that their bases are common. The ratio of their volumes is

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Question 83

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

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Question 84

The compound interest on Rs. 6250 at 12% per annum for 1 year, compounded halfyearly is

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Question 85

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

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Question 86

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

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Question 87

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

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Question 88

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 ?

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Question 89

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

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Question 90

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?

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