A and B are 2 cities 60 Km. apart. Two men P and Q start together to walk from A to B. Speed of P is 4 Km / hr. less than that of Q. Q reaches the city B and return back . He meets P at 12 Km away from city B. What is the speed of P? 

A and B started business with the initial investment in the ratio 12:11 and their profit in the business were 4x and x respectively. If A invested the money for 11/12 year, then B invested the money for?

x is a five - digit number. The digit in ten thousand's place is 1. The number formed by its digits in unit's and ten's places is divisible by 4. The sum of all the digits is divisible by 3 . If 5 and 7 also divide x, then x will be: 

 If $$ {x\over y}={y\over w}$$ then what is the value of (xy+zw).

From an observation tower ‘h’ meter above the level of river, the angle of depression of a point on the near shore is A^° and that of a point directly on the far shore is B^°. Find the width of the river.

In ΔABC θ is an acute angle and tanθ is equal to three times of cotθ. Find the value of $$ {sin^{2}θ+cosec^{2}θ-{1\over 2}cot^{2}θ}$$.

A right pyramid stands on a rectangular base whose sides are 24 cm and 18 cm and on the shorter side, the slant height is 17 cm. Find the volume of the pyramid.

Find the square root of  $$ {k+l+m+n+2\sqrt{ml+mk}+2\sqrt{mn}+2\sqrt{kn+ln}}$$