One number is 50% less than X and another number is 20 percent less than X. What is the ratio of both the numbers?

The greatest value of $$ Sin^{4}θ+Cos^{4}θ $$ is:

The sum of squares of three numbers is 532. And the ratio of first to the second as also of the second to the third is 3:2. What is the second number?

In one glass, milk and water are mixed in the ratio 3:5 and in another glass they are mixed in the ratio 6:1.In what ratio should the content of the two glasses be mixed together so that new mixture contains milk and water in the ratio 1:1?

From a solid cylinder whose height is 12 cm and diameter 10 cm a conical cavity of same height and same diameter of the base is hollowed out. The volume of the remaining solid is (cm³)approximately .Π=22/7

B borrows 5,000 from A at 6 % p.a. simple interest and lends it to C at compound interest of 10 % p.a. If B collects the money back from C after 2 years and repays A, the profit made by B in the transaction is 

If A purchased 109 cars for Rs.2,64,89,071. How much does 1 car cost? 

Sumit got 186 marks in Science, 158 marks in Hindi and 78 marks in Maths. The maximum marks in Science is 220, 180 in Hindi and 130 in Maths. What is his approximate total percentage marks?