Question : The price of a car is first increased by 35% and after that, the price is decreased by 25% due to a reduction in sales. What is the net percentage change in the final price of the car?

Option 1: Decreases by $2 \frac{1}{5}$%

Option 2: Increases by $2 \frac{1}{3}$%

Option 3: Decreases by $1 \frac{3}{5}$%

Option 4: Increases by $1 \frac{1}{4}$%

Question : Find the HCF of $\frac{11}{25}, \frac{9}{20}, \frac{16}{15}$, and $\frac{10}{33}$.

Option 1: $\frac{1}{3300}$

Option 2: $\frac{1}{330}$

Option 3: $\frac{1}{33}$

Option 4: $\frac{1}{300}$

Question : If $x\left(5-\frac{2}{x}\right)=\frac{5}{x}$, then the value of $x^2+\frac{1}{x^2}$ is:

Option 1: $\frac{54}{25}$

Option 2: $\frac{53}{28}$

Option 3: $\frac{53}{27}$

Option 4: $\frac{54}{23}$

Question : If 30% of Ravi’s income is equal to 40% of Suresh’s income, then 50% of Ravi’s income is equal to what percentage of Suresh’s income?

Option 1: $66 \frac{1}{3} \%$

Option 2: $33\frac{1}{3} \%$

Option 3: $33 \frac{2}{3} \%$

Option 4: $66 \frac{2}{3} \%$

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