Question : If $(2^{3})^{2} = 4^{x}$, then $3^{x}$ is equal to:

Option 1: $3$

Option 2: $6$

Option 3: $9$

Option 4: $27$

Question : Direction: After interchanging + and -, 8 and 7, which one of the following becomes correct?

Option 1: 8 - 7 + 3 x 5 = 35

Option 2: 7 x 8 + 6 - 9 = 25

Option 3: 6 + 8 x 2 - 7 = 0

Option 4: 8 x 2 + 7 - 6 = 9

Question : Direction: A certain system is followed to solve the problem. Accordingly, find out the correct answer from the alternatives for the unsolved equation.
7 x 4 x 9 = 479
9 x 5 x 2 = 592
6 x 9 x 5 = 965
8 x 6 x 2 = ?

Option 1: 286

Option 2: 682

Option 3: 628

Option 4: 268

Question : If $x+\frac{1}{x}=1$, then the value of $x^{12}+x^9+x^6+x^3+1$ is:

Option 1: 1

Option 2: - 1

Option 3: 0

Option 4: - 2

Question : If x + y = 36, then find (x – 27)³ + (y – 9)³.

Option 1: 1

Option 2: 81

Option 3: 2y

Option 4: 0