The average age of 32 boys of a class is equal to 15 years. When the age of the class teacher is included the average becomes 16 years. Find the age of the class teacher. 

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

12664   34    20  14 ?

If b is the mean proportionate of a and c then find the value of $$ {(a-b)^{3}:(b-c)^{3}}$$ ?

$$ (17)^{2} + 6 × (13)^{2}-212×6$$

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

Study the following table and answer the equation:
Number of cars sold by dealers A, B, C, D and E during first six months of 2018.

In July 2018, if the sales of cars by the dealer D increases by the same percentage as in June 2018 over its previous month, then what is the number of cars sold by D in July 2018 ?

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

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?