Question : Which of the following is not the first-day event in the decathlon?

Option 1: Discus throw

Option 2: Shot put

Option 3: 100-metre dash

Option 4: 400-metre dash

Question : Which of the following expressions is equal to the expression $\frac{x^2-3 x+2}{x^2-4}$?

Option 1: $\frac{x+1}{x-2}$

Option 2: $\frac{x-1}{x+2}$

Option 3: $\frac{x+1}{x+2}$

Option 4: $\frac{x-1}{x-2}$

Question : What is the value of $(x+1)\left(x^2-x+1\right)$ ?

Option 1: $x^3-1$

Option 2: ${x}^3+{x}$

Option 3: $x^3+1$

Option 4: ${x}^3-{x}$

Question : If $x^2+\frac{1}{x^2}=29$, then find the value of $x-\frac{1}{x}$.

Option 1: $\pm 4$

Option 2: $\pm 3 \sqrt{3}$

Option 3: $\pm 3$

Option 4: $\pm 4 \sqrt{3}$

Question : If $x^4+\frac{1}{x^4}=194, x>0$, then find the value of $x^3+\frac{1}{x^3}+x+\frac{1}{x}$

Option 1: 76

Option 2: 66

Option 3: 56

Option 4: 46