Quantitative Aptitude - Arithmetic Ability Questions

In the given figure, ABCDEF is a regular hexagon whose side is 6 cm. APF, QAB, DCR and DES are equilateral triangles. What is the area (in sq.cm) of the shaded region?

If cosec ­4π/3 = x, then the value of x is

If (x + y + z) = 12, xy + yz + zx = 44 and xyz = 48, then what is the value of x3 + y3+ z3?

After a discount of 23% an article is sold for Rs 1848. What is the marked price (in Rs) of the article?

A train travels 40% faster than a car. Both start from point A at the same time and reach point B, 140 km away at the same time. On the way the train takes 25 minutes for stopping at the stations. What is the speed (in km/hr) of the train?

What number should be added to each of the numbers 35, 115, 53 and 165, so that the resulting numbers are in continued proportion?

In what time will a train, 60 metres long, running at the rate of 36 km/hr pass a telegraph post?

A dishonest milkman buys milk at Rs 30 per litre and adds 1/5 of water to it and sells the mixture at Rs 32 per litre. What will be his gain?