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

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.

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?

The Population of vultures in a particular locality is decreases by a certain rate of interest (compounded annually). If the current population of vultures be 29160 and the ratio of decrease in population for second year and third year be 10: 9. What was the population of vultures 3 years ago? 

Two people, Savita and Karan, get their sales commissions based on the number of items sold each month. Their total sales commission amounts to Rs. 56,100 in a particular month. If savita got her commission 12 % higher than Karan, how much commission did Karan earn?