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 : Directions: A man was 32 years of age when he had his first son. His wife was 35 years of age when his son attained the age of 7 years. The difference in age between the man and his wife is?

Option 1: 7 years

Option 2: 3 years

Option 3: 5 years

Option 4: 4 years

Question : Directions: A man was 31 years of age when his son was born. His wife was 26 years of age when his son attained the age of 7 years. What is the difference between the man's age and his wife's age?

Option 1: 7 years

Option 2: 9 years

Option 3: 5 years

Option 4: 12 years

Question : If $x^2-7x+1=0$, what is the value of $(x+\frac{1}{x})$.

Option 1: 7

Option 2: 3

Option 3: 51

Option 4: 47

Question : What is the value of $\frac{x^2-x-6}{x^2+x-12}÷\frac{x^2+5x+6}{x^2+7x+12}$?

Option 1: $1$

Option 2: $\frac{(x-3)}{(x+3)}$

Option 3: $\frac{(x+4)}{(x-3)}$

Option 4: $\frac{(x-3)}{(x+4)}$