What is the sum of two consecutive even numbers, the difference of whose square is 84? 

Mahadev covered some distance at some speed. If he traveled a distance of 3 km / h more, it took him 40 minutes less time. If he had covered the distance at a speed of 2 km / h less, he would have taken 40 minutes more. The distance (in km) is

A boat goes from A to B in upstream and come back from B to A downstream taking a total time of 3.5 hours. If the speed of boat in still water is 7 km/hr and the speed of stream is 5 km/hr. Find the distance between A and B. 

Surekha borrowed a sum of money and returned it in two equal annual instalments of ₹5,547 each. If the rate of interest was $$7{1\over 2}\%$$ p.a. compounded yearly, then the total interest paid by her was:

The zeros of the cubic polynomial $$ {2x^{3}-x^{2}-2x+1}$$ are a, b and c respectively. Find ab + bc + ca =?

If 3 + cos²θ= 3(cot²θ + Sin²θ), 0°<θ<90°, then what is the value of (cosθ +2sinθ)?

A shopkeeper marked the article 30 % above the cost price. And he gives a discount of 20 % on the M.R.P. find his profit percentage?

The prices of two articles are in the ratio 3 : 2 respectively. The price of the first article is increased by 40% and that of the second article is decreased by x%. If the new ratio of both the articles is : 7 : 3 then what is the value of x?