If 27(x+y)³ – 8(x-y)³=(x+5y)(Ax²+By²+Cxy), then what is the value of (A+B-C)?

Two vessels A and B contains acid and water in the ratio 4:3 and 5:3 respectively Then the ratio in which these mixtures to be mixed to obtain a new mixture in vessel C containing acid and water in the ratio 3:2 is 

The value of   $${sin23^0cos67^0+sec52^0sin38^0+cos23^0sin67^0+cosec52^0cos38^0}\over cosec^220^0-tan^270^0$$ is

Suppose an imaginary line is drawn from N to line VO such that it makes a perpendicular. The imaginary line meets VO at point Y. Then what is the perimeter of the quadrilateral NYOM?

Find the ratio between the fourth proportional of 12, 16, 6 and the third proportional of 4, 6.

Find the value of the given expression.

$$ \sqrt { 20-{ \sqrt { 20- \sqrt { 20- \sqrt { 20- .....∞}}}}} $$

If $$ A = {1\over 2}+{1\over 3}×{1\over 4}÷{1\over 5}-{1\over 6}$$ and $$B={1\over 2}÷{1\over 3}×{1\over 4}+{1\over 5} $$ , then what is the value of A - B?

Directions : Study the following pie chart carefully and answer the questions. The pie chart represents the percentage of people involved in various occupations.
Total number of people = 20000

The difference between the maximum number of people involved and minimum number of people involved in various professions is