Quantitative Aptitude - Arithmetic Ability Questions

If x1/4 + x-1/4 = 2, then what is the value of x81 + (1/x81)?

Determine the value of 'x' when 3x3 = 27

In the given figure, AB, AE, EF, FG and GB are semicircles. AB = 56 cm and AE = EF = FG = GB. What is the area (in sq.cm) of the shaded region?

Surbhi invested Rs.6000 for 5 months and Urba invested Rs.5000 for 6 months in a venture. The ratio in which they will share the profits is

The sum of a fraction and 7 times its reciprocal is 11/2. What is the fraction?

If 169 is subtracted from the square of a number, then the result obtained is 7056. What is the number?

Smita can finish a work in 12 days and Sam can finish the same work in 9 days. After working together for 4 days they both leave the job. What is the fraction of unfinished work?

In each of the following questions two equations I and II are given. Solve both the equations and give answer:
$$\begin{gathered} I. x2+2x-195=0 \\ II. y2+30y+225=0 \end{gathered}$$