What is the area (in sq. units) of the triangle formed by the graphs of the equations 2x+5y-12=0, x+y=3 and y = 0?

Directions : The following graph shows production (in thousands) of two types (P and Q) of vehicles by a factory over the years 2009 to 2014. Study the graph and answer the given questions. 

The production of Type Q vehicles in 2010 was approximately what percent of Type P vehicles in 2014?

ABCD is a cyclic quadrilateral. AB and DC when produced meet at P, If PA 8 cm, PB = 6, PC = 4 cm, then the length (in cm) of PD is

In ∆ABC, ∠A=90⁰ , AD is the bisector of ∠A meeting BC at D, and DE ⊥ AC at E. if AB = 10 cm and AC = 15 cm, then the length of DE, in cm, is:

If   $$ a={b^2\over b-a} $$  then the value of a³ + b³ is 

Suppose an imaginary line is drawn from N to line VO such that it makes a perpendicular. The imaginary line meets VO at point Y. Then what is the perimeter of the quadrilateral NYOM?

A person lends 40% of his sum of money at 15% per annum, 50% of the rest at 10% per annum and the rest at 18% per annum rate of interest. What would be the annual rate of interest, if the interest is calculated on the whole sum?

Directions : Given here is a pie chart showing the cost of gold in 2010, 2011, 2012 and 2013. Study the chart and answer the following questions

The percentage increase in the price of gold from the year 2011 to 2013 is