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. 

In how many of the given years, was the production of Type P vehicles of the company more than the average production of this type vehicles in the given years?  

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

Directions : Study the following pie chart carefully and answer the questions. The pie chart represents the percentage of people involved in various occupations.
Total number of people = 20000

The ratio of the people involved in service to that in industry is 

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?

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:

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?

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