Question : The value of $0.4 \overline{6}+0.7 \overline{23}-0.3 \overline{9} \times 0. \overline{7}$ is:

Option 1: $0.\overline{97}$

Option 2: $0.\overline{57}$

Option 3: $0.\overline{77}$

Option 4: $0.\overline{87}$

Question : The value of $11. \overline{4}+22.5 \overline{67}-33.5 \overline{9}$ is:

Option 1: $40. \overline{12}$

Option 2: $4. \overline{12}$

Option 3: $0.4\overline{12}$

Option 4: $0.04\overline{12}$

Question : If $\mathrm{A}=0.3 \overline{12}, \mathrm{~B}=0.4 \overline{15}$ and $\mathrm{C}=0.30 \overline{9}$, then what is the value of $A + B + C$?

Option 1: $\frac{1141}{1100}$

Option 2: $\frac{1097}{1100}$

Option 3: $\frac{1211}{1100}$

Option 4: $\frac{1043}{1100}$

Question : The value of $\frac{0.7× 0.7× 0.7+0.3 × 0.3 × 0.3}{0.7 × 0.7-0.7× 0.3+0.3 × 0.3}$ is_____.

Option 1: 2

Option 2: 1

Option 3: 3

Option 4: – 1

Question : If $x+\frac{1}{x}=2$, then the value of $x^{57}+\frac{1}{x^{57}}$ is:

Option 1: 1

Option 2: –2

Option 3: 0

Option 4: 2