Quantitative Aptitude - Arithmetic Ability Questions

What is the value of sin6θ + cos6θ + 3 sin2θ cos2θ –1?

The flight fare between two cities is increased in the ratio 9:11. What is the increase (in Rs) in the fare, if the original fare was Rs. 18,000?

ΔDEF is similar to ΔGHI. Length of DE is 9 cm and length of the corresponding side GH is 16 cm. What is the ratio of areas of Δ DEF : Δ GHI?

In the following question, select the odd word pair from the given alternatives.

If x -­ y = 7 and xy = 32, then value of (x2 + y2) is

The price of an article is cut by 36%, to restore to its original value, the new price must be increased by

In ΔDEF, G and H are points on side DE and DF respectively. GH is parallel to EF. If G divides DE in the ratio 1:3 and HF is 7.2 cm, find length of DF?

A train 240 meters in length crosses a telegraph post in 16 seconds. The speed of the train is?