Question : The ratio of Ram's age to Rahim's age is $10:11$. What is Rahim's age in percentage of Ram's age?
Option 1: $109\frac{1}{2}$%
Option 2: $110$%
Option 3: $111\frac{1}{9}$%
Option 4: $111$%
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Correct Answer: $110$%
Solution : Let Ram's age be $10x$. Then, Rahim's age will be $11x$. So, the required percentage = $\frac{11x}{10x}×100=110$% Hence, the correct answer is $110$%.
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Question : If the cost of 20 books is equal to the selling price of 18 books, then the gain percentage is:
Option 1: $11 \frac{1}{9}$%
Option 2: $11 \frac{1}{3}$%
Option 3: $11 \frac{2}{9}$%
Option 4: $10 \frac{1}{9}$%
Question : Choose the option in which the numbers are in the correct ascending order.
Option 1: $\frac{4}{5}, \frac{2}{3}, \frac{1}{11}$ and $\frac{2}{9}$
Option 2: $\frac{1}{11}, \frac{2}{9}, \frac{2}{3}$ and $\frac{4}{5}$
Option 3: $\frac{2}{9}, \frac{1}{11}, \frac{4}{5}$ and $\frac{2}{3}$
Option 4: $\frac{2}{3}, \frac{4}{5}, \frac{1}{11}$ and $\frac{2}{9}$
Question : If $(4 y-\frac{4}{y})=13$, find the value of $(y^2+\frac{1}{y^2})$.
Option 1: $12 \frac{11}{16}$
Option 2: $10 \frac{9}{16}$
Option 3: $12 \frac{9}{16}$
Option 4: $8 \frac{9}{16}$
Question : If $\frac{21\cos A+3\sin A}{3\cos A+4\sin A}=2$, then find the value of cot A.
Option 1: $\frac{9}{11}$
Option 2: $\frac{11}{9}$
Option 3: $\frac{1}{3}$
Option 4: $\frac{11}{10}$
Question : If a 10% loss is made on the selling price, the percentage of loss on the cost price will be:
Option 1: $11\frac{1}{9}\%$
Option 2: $9\frac{1}{11}\%$
Option 3: $10\%$
Option 4: $11\%$
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