The area of a triangle is 456 sq.cm and its height is 24 cm. The length of its base is

If $$ {3^{a+3}×4^{a+6}×25^{a+1}\over{27}^{a-1}×8^{a-2}×125^{a+4}}={4\over15^{26}}$$ then the value of $$ {\sqrt{a+9}}$$.

$$ {tan7°tan23°tan60°tan67°tan83°}$$ is equal to-

A tap can fill the tank in 8 hours and another can empty it in 16 hours. If both the taps are opened simultaneously, the time (in hours) to fill the tank is__.

The average marks of the students of a class is 68. The average marks of girls in the class is 80 and that of boys is 60. What percentage of students are boys in the class?

Ritesh sold a pen for Rs. 36 with a profit of 20%. If it were sold for Rs. 33, then what could be the percentage of profit or loss?

A person who spends $$ 16{2\over3}\% $$ of  his income is able to save 1200 per month. His monthly expenses (in) is:  

A man spends a part of his monthly income and saves the rest. The ratio of his expenditure to the saving is 61 : 6. If his monthly income is Rs .8710, the amount of his monthly saving is