Quantitative Aptitude - Arithmetic Ability Questions

If tanθ + cotθ = 5, then the value of tan2θ + cot2θ is

To cover a certain distance with a speed of 60 km/hr, a train takes 15 hours. If it covers the same distance in 12 hours, what will be its speed?

A and B can complete a task in 20 days, B and C can complete it in 30 days while C and A can do the same task together in 24 days. How many days will each of and C take to complete the task individually? 

The average weight of 3 men A, B and C is 84 Kg. Another man D joins the group and the average now becomes 80 Kg. If another man E whose weight is 3 Kg more than that of D, replaces A then the average weight of B, C, D and E becomes 79 Kg. What is the weight of A?

Simple interest on a sum of Rs 3300 for 5 years is Rs 1980. What is the annual rate (in percentage) of interest?

If (9 - 3x) - (17x - 10) = -1, then the value of x is

If x = 313- 3-13, then 3x2 + 9xis equal to

What is the simplest form of (1 + cosA)(cosecA ­ cotA)?