If $${{p^2\over q^2}+{q^2\over p^2}}=1$$, then the value of (p⁶ + q⁶ ) is

Amit sold an article for ₹369.60 after allowing 12% discount on the marked price. Had he not allowed any discount he would have earned a profit of 20%. What is the cost price of the article?

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?

Diagonal of a given square is 4√2 cm. What is the diagonal of the other square whose area is double of the given square?

A circle circumscribes a rectangle with sides 16 cm and 12 cm. What is the area of the circle?

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 sectoral angle made by the people involved in service in the given pie-chart is

The average age of a husband and his wife was 27 years when the child was born, the average age of the husband, the wife and new-born child is 21 years now. The present age of the child is:

if $$a+{1\over a}=5$$, then what is the value of $$a^3+{1\over a^3}$$