Question : If $x+\frac{1}{x}=0$, then the value of $x^{5}+\frac{1}{x^{5}}$ is:

Option 1: 2

Option 2:  –1

Option 3: 1

Option 4: 0

Question : If 7A425B is divisible by 36, then what is the value of A – B?

Option 1: 0

Option 2: 5

Option 3: 1

Option 4: 2

Question : If $(4 \sin \theta+5 \cos \theta)=3$, then the value of $(4 \cos \theta-5 \sin \theta)$ is:

Option 1: $3 \sqrt{2}$

Option 2: $4 \sqrt{2}$

Option 3: $2 \sqrt{3}$

Option 4: $2 \sqrt{5}$

Question : If $\frac{a}{b}+\frac{b}{a}=2$, then the value of $(a-b)$ is:

Option 1: 1

Option 2: 2

Option 3:  –1

Option 4: 0

Question : If $a+\frac{1}{a}=\sqrt{3}$, then the value of $a^{18}+a^{12}+a^{6}+1$ is:

Option 1: 0

Option 2: 1

Option 3:  –1

Option 4: 4