If cos²α + cos²β = 2, then the value of tan³ α + sin⁵ β is :

In solving a problem, one student makes a mistake in the coefficient of the first degree term and obtains – 9 and – 1 for the roots. Another student makes a mistake in the constant term of the equation and obtains 8 and 2 for the roots. The correct equation was 

0.001 is equivalent to: 

Directions: The Bar Graph given here shows the population (in crores) of India in various census years. Observe the graph and answer the question based on it.  

Per year increase in population from the year 1931 to 1981 is 

Direction: The line chart given below shows the number of labors (men and women) working in six different years. Study the data carefully and answer the following questions.

Total number of Men working in 2012 and 2013 together is what percent of the total number of labors (Men + Women) working in 2014?

Two places P and Q are 92 km apart. A train leaves P for Q and at the same time another train leaves Q for P. Both the trains meet 4 hrs after they start moving. If the train travelling from P to Q travels 7 km/hr faster than the other train, find the speed of the two trains.