Find the value of $$\left({sin 35°\over cos55°} \right)^2+\left({cos55°\over sin 35°} \right)^2 \ -2 sin^{3}30°$$

If P is 15 years old now and Q will be 26 years old after 6 years, what is the ratio of their percentages? 

A can cultivate $$2\over5$$ th of a land in 6 days and B can cultivate $$1\over3$$  of the same land in 10 days. Working together A and B can cultivate of $$4\over5$$  the land in;

Vikram gives 35% of the money he had to his wife and gave 50% of the money he had to his sons. Remaining amount of Rs. 11,250 he kept for himself. What was the total amount of money Vikram had?

The height of a wall is six times its width and the length of the wall is seven times its height. If volume of the wall be 16128 cube m, its width is 

Two circle X and Y with centres A and B intersect at C and D. If area of circle X is 4 time area of circle Y, then AB=?

Simplify : $$ {9\over 13} ÷{18\over 26}÷{90\over 52}$$

A can do as much work as B and C together can do. A and B can together do a piece of work in 9 hours 36 minutes and C can do it in 48 hours. The time (in hours) that B needs to do the work alone, is: