Quantitative Aptitude - Arithmetic Ability Questions

What is the value of {[sin (x + y) – 2 sin x + sin (x – y)]/[cos (x – y) + cos (x + y) – 2 cos x]} × [(sin 10x – sin 8x)/(cos 10x + cos 8x)]?

What is the third proportional to 10 and 25?

What is the equation of the line passing through the point (2,-3) and making an angle of -45°with the positive X-axis?

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?

A boy crosses a 300 metres wide road in 30 seconds. What is his speed (in km/hr)?

In what time will Rs.4400 become Rs.4576 at 8% per annum interest compounded half-yearly?

A sum of money (P) doubles in 10 years. How much would it be in 20 years at the same rate of simple interest?

If cosec∅+sin∅cosec∅-sin∅=53 then the value of sin∅is equal to