In ΔABC, ∠C=90° and D is a point on CB such that AD is the bisector of ∠A. If AC=5 cm and BC=12 cm, then what is the length of AD?

X, Y and Z take 18 days to complete a piece of work. If X works alone he finishes the work in 36 days and if Y works alone he finishes it in 60 days. How long will it take Z to complete the work alone?

The average monthly income of x and y is 5050. The average monthly income of y and z is 6250 and the average monthly income of x and z is 5200. The monthly income of x is?

The largest three-digit number that gives the same remainder 2 when divided by 3, 5 and 9 is ________.

If $$ {x+{1\over x}}=2$$ then find out the value of $${2x^2+2}\over{3x^2+5x+3}$$

Two things were sold at same sale-price. One thing got 10% profit and another suffered 10% loss. The difference of their purchase price will be in multiple of which number.Tell_____. 

If the difference of interest of two banks of Rs 500 is Rs 2.50, find the difference between their rates.

ABCD is square and CDE is an equilateral triangle outside the square . What is the value ( in degrees ) of ∠BEC ?