Quantitative Aptitude - Arithmetic Ability Questions

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

Instead of multiplying by 25, a student multiplies that number by 52 and gets 324 more than correct answer. Then that number is

A boy spends Rs 20 to purchase toffees at Rs 1 each. Next day, he purchased some toffees for Rs 40 with a discount of 50 paise per toffee. What is the average price per toffee (in paise)?

A work can be completed by 18 boys in 24 days. If 6 boys leave after working for 12 days, then how many days will be needed to complete the remaining work?

Simple interest on a certain sum of money for 3 years at 16% per annum is half the compound interest on Rs. 12000 for 2 years at 10% per annum. The sum placed on simple interest is

What will be the value of xy, if x2+y2 = 45 and x-y=5 ?

2 ­- (cosA + sinA)2 is equal to

A balloon leaves from a point P rises at a uniform speed. After 6 minutes, an observer situated at a distance of 450√3 metres from point P observes that angle of elevation of the balloon is 60 deg. Assume that point of observation and point P are on the same level. What is the speed (in m/s) of the balloon?