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

A and B together can complete a work in 12 days, A alone can complete in 20 days. If B now does the work only for half a day daily, then the number of days required to complete the work, by A and B together, is

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?

The ratio of the square of volume of two cylinders is a:b and the ratio of their radius is x:y, then what is the ratio of their heights?

A circular pavement was to be built around a square park of side 18 m. The maximum width of pavement is 5 m. Calculate the cost of cementing the pavement at Rs. 15 per m² .

Some students went on a field trip. At a speed of 6 km/h, they travelled by bikes for 2 hours; then at a speed of 2 km/h, they walked for another hour; then they took rest for an hour and had lunch for half an hour; then at a speed of 1 m/s, they walked for an hour to visit a garden; and finally at a speed 4 km/h, they returned home in 3 hours. Their average speed, in km/h, (rounded off to two places of decimal) is:

Directions: The bar graph given below shows the production (in ' 000 tones) of rice of a country for the year 2007 to 2011. Study the graph carefully and answer the question given below it.

What is the percentage increase in the production of rice in the year 2008 in comparison to the year 2007? 

If circumference of first circle is 132 cm and circumference of second circle is 110 cm then find the difference between area of both the circle?