Value of $$ \sqrt{6+\sqrt {6+\sqrt {6+....}}}$$

The top of two poles of height 24m and 36 m are connected by a wire. If the wire makes an angle of 60° with the horizontal, then the length of the wire is 

The average weight of A, B, and C is 52 kg. If the average weight of B and C is 44 kg and that of C and A is 46 kg, then what will be the weight of C?

Direction (66-70): What should come in place of the question mark(?) in the following number series?

12664   34    20  14 ?

A sum of money amounts to Rs. 4,840 in 2 years and to Rs. 5,324 in 3 years at compound interest (compounded annually). The rate of interests per annum is

$$ (17)^{2} + 6 × (13)^{2}-212×6$$

Directions:  The table given below presents the number of books on different subjects kept on separate shelves subjects with odd and even numbers are of arts and Science respectively

What is the ratio of the total numbers of books on arts to that of science?

 If $$ {x=7-4\sqrt{3}}$$ find the value of $$ {\sqrt{x}+{1\over {\sqrt{x}}}}$$.