Question : The value of $\frac{40+\frac{3}{4} \text { of } 32}{37+\frac{3}{4} \text { of }(34-6)}$ is:

Option 1: $1 \frac{3}{29}$

Option 2: $-1 \frac{3}{29}$

Option 3: $1 \frac{9}{29}$

Option 4: $2 \frac{3}{29}$

Question : What is the positive value of the following expression?
$\sqrt{36 \div 15 \text { of } 2 \text { of }[25 \times 4 \div 4 \text { of }\{29-(8-11) \div(9 \times 5 \div 5 \text { of } 3)\}]}$

Option 1: $1 \frac{5}{6}$

Option 2: $1 \frac{1}{5}$

Option 3: $2 \frac{4}{5}$

Option 4: $2 \frac{3}{5}$

Question : The value of $\frac{5-2 \div 4 \times[5-(3-4)]+5 \times 4 \div 2 \text { of } 4}{4+4 \div 8 \text { of } 2 \times(8-5) \times 2 \div 3-8 \div 2 \text { of } 8}$ is:

Option 1: $\frac{9}{8}$

Option 2: $\frac{9}{4}$

Option 3: $\frac{15}{32}$

Option 4: $\frac{89}{4}$

Question : If $x^2-8x+1=0$, what is the value of $(x^2+\frac{1}{x^2})$?

Option 1: $18$

Option 2: $34$

Option 3: $40$

Option 4: $62$

Question : A student was asked to find the value of $\frac{\left(2 \frac{1}{3}+2 \frac{1}{2}-\frac{1}{6}\right) \div 2 \frac{1}{3} \times 5 \frac{2}{3} \div 1 \frac{2}{3} \text { of } 4 \frac{1}{4}}{3 \frac{1}{5} \div 4 \frac{1}{2} \text { of } 5 \frac{1}{3}+5 \frac{1}{3} \times \frac{3}{4} \div 2 \frac{2}{3}}$. His answer was $\frac{6}{7}$. What is the difference between the correct answer and his answer?

Option 1: $\frac{9}{14}$

Option 2: $\frac{5}{14}$

Option 3: $\frac{11}{49}$

Option 4: $\frac{6}{49}$