The ratio of the sides of a triangle is $$ {1\over2}$$: $$ {1\over3}$$: $$ {1\over4}$$ and its perimeter is 104 cm. is. What is the length of the longest arm?

A boat goes downstream in one-third the time it takes to go upstream. Then the ratio between the speed of boat in still water and speed of the stream is

The perimeter of two squares are 40 cm and 32 cm. The perimeter of a third square whose area is the difference of the area of two square, is 

One filling pipe P is three times faster than another filling pipe Q, if P can fill tank in 24 hours, then what is the time taken to completely fill the tank if both the pipes are opened together?

The profit on selling an article for Rs.1,100 is equal to three times the amount of loss on selling it for Rs.700. To gain 12.5%, the article must be sold for:

Cost price of 25 chairs equals the selling price of 20 chairs. Find the profit %.

A sum of ₹1,50,000 is distributed among three persons - A, B and C - so that they receive 20%, 30% and 50%. respectively. A receives the same amount from another sum of money which is distributed among them so that they receive 50%, 30% and 20%, respectively. Find the total amount received from both sums of money, by B.

If $$ x=\sqrt{\sqrt{5}+1\over {\sqrt{5}-1}}$$ then the value  of $$ {5x^2-5x-1}$$ will be: