Two equal glasses are filled with alcohol and water respectively. First glass is filled with (2/5) of alcohol and second glass is filled with (1/4) of alcohol. Then, the glasses are filled up with water and the resultant mixture is put into a big Jug. Find the ratio of alcohol and water in the jug.

Piyush is running at the speed of 8 km/h and he stops for 5 minutes at the end of every third kilometer. How much time will Piyush take to cover a distance of 56 km?

If one number is 50 percent less than X and the other numbers are 20 percent less than X. What is the ratio of both the numbers?

A lent some money from B and paid 1,573 after$$ {1{1\over 2}}$$ yr . Also B lent some money from A and paid 1444.50 after 6 months. If they want to settle the account forthwith, keeping 14 % as the rate of interest, then who should pay whom and how much?

If $${{k^2}\over {k^2-2k+1}}={1\over 6}$$, then what is the value of $${1\over k^3}+k3$$ ?

If the ratio of the areas of two similar triangle ABC and DEF is 36:81 and EF = 6.9 cm., then BC is equal to –

The price of an article is reduced by 25% but the daily sale of the article is increased by 30%. The net effect on the daily sale receipts is

What will be the area (cm²) of the curved surface of an elliptical cylinder whose height and diameter are 10 cm and 8 cm respectively?