Quantitative Aptitude - Arithmetic Ability Questions

Given: 6x + 2(6-x) > 2x -2 < 5x/2 - 3x/4; then x can take which of the following values?

If cotθ = 4, then the value of 5sinθ+3cosθ5sinθ-3cosθ is

What is the value of √[(1 + sinA)/(1 -­ sinA)]?

A boat covers a distance of 14 km upstream and 16 km downstream in 9 hours. It covers a distance of 12 km upstream and 40 km downstream in 11hours. What is the speed (in km/hr) of the boat in still water?

In an alloy, aluminium and tin are in the ratio of 4 : 5. In the second alloy, the ratio of same elements is 4 : 7. If equal quantities of these two alloys be mixed to form a new alloy, then what will be the ratio of both of these elements in the new alloy?

The speed of car B is half the speed of car A. If car A covers a distance of 120 km in 1.5 hours, what is the speed of car B?

Car B is twice as fast as car A. If car A covers 90 km in 2 hours, what is the speed of car B?

P and Q together can make a door in 12 days. They started the work together but after 8 days P left the work. The remaining work is completed by Q alone in 7 more days. In how many days can P alone complete the entire work?