Quantitative Aptitude - Arithmetic Ability Questions

If α and β are the roots of equation x2 – 2x + 4 = 0, then what is the equation whose roots are α3/β2 and β3/α2?

If 7A = 5B = 2C; find A : B : C.

The mean of 20 observations is 19. One more observation is included and the new mean becomes 20. The 21st observation is

There are three bottles of mixture of syrup and water of ratios 2:3, 3:4 and 7:5. 10 Litres of first and 21 Litres of second bottles are taken. How much quantity from third bottle is to be taken so that final mixture from three bottles will be of ratios 1:1.

Find the unit place digit in 71 x 72 x 73 x 74 x 76 x 77 x 78 x 79.

A train is moving at the speed of 72km/hr. How many seconds will it take to cover a distance of 1400 m ?

24 men can repair a road in 50 days. If they are joined by 16 more men, then in how much time (in days) the road can be repaired?

What is the simplified value of 1-sin A1+sin A ?