Quantitative Aptitude - Arithmetic Ability Questions

If x + (1/x) = √13, then what is the value of x5 – (1/x5)?

Find the volume (in cub.cm) of a sphere of diameter 42 cm

Raghunandan sells a machine for Rs 45 lakhs at a loss. Had he sold it for Rs 55 lakh, his gain would have been 9 times the former loss. Find the cost price of the machine.

If (x + y):(x - y) = 11:1, find value of (5x + 3y)/(x - 2y).

The distance between the points (2, 7) and (k, -5) is 13. What is the value of k?

If sinA + sin2A = 1 then what is the value of cos2A + cos4A ?

In ΔUVW measure of angle V is 90 deg. If cosecU = 13/12, and UV = 2.5cm, then what is the length (in cm) of side VW?

The circumference of a circle is 88 cm, find its area?