Quantitative Aptitude - Arithmetic Ability Questions

If  a+1/a = 3, then a3+1a3?

If x = x2+11 2 - 2, then x3 + 5x2 + 12x is

If sec2A cosec2A = x, then x is

The point P (a,b) is first reflected in origin to P1 and P1 is reflected in Y­axis to (4,­3). The co­-ordinates of point P are

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

Two students appeared for an examination. One of them secured 9 marks more than the other and his marks were 56% of the sum of their marks. The marks obtained by them are

The average marks obtained by a group of 10 students were 20. One student left the group as a result of which the average of the remaining students rose to 21. But another student joined, as a result of which the average marks of the group dropped a bit and became 20.6. What were the average marks obtained by the student who left and the one who joined?

ΔPQR is right angled at Q. If cotP = 5/12, then what is the value of tanR ?