$$x+{1\over x}=2$$ and x is real, then the value of $$x^{17}+{1\over x^{19}}$$ is

A trader allows a trade discount of 20% and a cash discount of $$6{1\over4}\%$$ on the marked price of the goods and gets a net gain of 20% of the cost. By how much above the cost should the goods be marked for the sale? 

If $${secθ+tanθ\over secθ-tanθ}={5\over 3}$$ then sinθ is equal to ;

The circumference of the base of a cylindrical vessel is 158.4 cm and its height is 1 m. How many litres of water can it hold (correct to one decimal place)?

(Take π = 22/7)

A number is first decreased by 10% and then increased by 10%. The number so obtained is 50 less than the original number. The original number is:

cosA(sec A – cosA)(cotA+tanA)=?

The marked price of an article is 40% above its cost price. If its selling price is $$73{1\over 2}\%$$ of the marked price, then the profit percentage is

If in a triangle, the circumcenter, incentre, centroid and orthocenter coincide, then the triangle is