P can complete a piece of work in thrice the time taken to complete Q and R together. If P and Q together can complete the work in $$ 9{3\over 5} $$ days and R alone complete in 16 days, then find the no of days taken to complete the work by P alone?

The graphs of the linear equations 3x-2y=8 and 4x+3y=5 interest at the point P(α, β). What is the value of (2 α - β)?

if x+y =3 and $${1\over x}+{1\over y}= -{3\over 10}$$ then the value of (x²+y²) is :

Priyanshu's salary was reduced by 10% and then the reduced salary was increased by 10%. His new salary in comparison with his original salary is:

If x = y = 333 and z = 334, then the value of x³ + y³ + z³ – 3xyz is

While going to office, Sneha travels at a speed of 10 km/h and on her way back, she travels at a speed of 15 km/h. What is her average speed for the whole journey?

What will be the ratio of the interests earned by identical sum of money invested at the same rate of simple interest for 6 years and for 15 years respectively?

Which of the f ollowing numbers will replace the question mark (?) in the given series?
 15, 27, 12, ?, 9, 33