Quantitative Aptitude - Arithmetic Ability Questions

If cosecA - cotA = x, then the value of x is

If 2x-2x=1 (x≠0),then the value of x3-1x3 is

P does half as much work as Q in 1/3 of the time. If together they take 15 days to complete a work, how many days will P take to do it alone?

Arun and Amit can do a piece of work in 9 days and 12 days respectively. If they work for alternate days and Amit starts the work first, then in how many days 35/36 parts of whole work will be completed?

A retailer gets a discount of 40% on the printed price of an article. The retailer sells it at the printed price. His gain percent is

50 litre mixture of water and alcohol contains 10% alcohol. How much more alcohol must be added to make the strength of alcohol 40% in the new mixture?

If tanA -­ tanB = X, then the value of X is

Assuming that the numbers in each of the following figures follow a similar pattern, select the option that can replace the question mark (?) in figure C.