For the following questions answer them individually
If $$cot\theta=\frac{a}{b}$$ then find the value of $$\frac{cos\theta+sin\theta}{cos\theta-sin\theta}$$
Read the following information carefully and answer the question given below.
Eight captains of different cricket teams—Australia, New Zealand, India, Pakistan, Sri Lanka, England, WestIndies and South Africa are sitting around a circular table and are facing the centre, but not necessarily in thesame order. Indian captain sits third to the left of the Sri Lankan captain. Only two people sit between theAustralian captain and West Indies captain. Neither the Australian captain nor West Indies captain is an immediate neighbour of the Indian captain. The captain of South Africa sits second to the right of the England captain. England captain is not an immediate neighbour of the Indian captain. The Australian captain sits third to the left of the Indian captain. Captains of Pakistan and New Zealand are not immediate neighbours. Pakistan captain sits third to the left of the England captain.
Which of the following captains sits exactly between the captain of India and West Indies?
The sum of three numbers is 100. The ratio of the first number to the second number is 4 : 9 and the ratio of the second to the third number is 3 : 4. Find the second number.
A sum of money at Simple Interest amounts to Rs.815 in 3 years and Rs.854 in 4 years. What is the sum?