Question : What percentage of 15 hours is 18 seconds?
Option 1: $30$%
Option 2: $\frac{1}{30}$%
Option 3: $36$%
Option 4: $\frac{1}{36}$%
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Correct Answer: $\frac{1}{30}$%
Solution : 18 seconds = $\frac{18}{60×60}$ hour The required percentage is $\frac{18}{15\times60\times60} \times 100=\frac{1}{30}$% Hence, the correct answer is $\frac{1}{30}$%.
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Question : If $x^2+\frac{1}{x^2}=7$, then what is the value of $x^3+\frac{1}{x^3}$?
Option 1: 9
Option 2: 18
Option 3: 27
Option 4: 36
Question : The value of $3\frac{1}{2} - [2\frac{1}{4}+ 1\frac{1}{4} - \frac{1}{2}(1\frac{1}{2}-\frac{1}{3} -\frac{1}{6})]$ is:
Option 1: $\frac{1}{2}$
Option 2: $2\frac{1}{2}$
Option 3: $3\frac{1}{2}$
Option 4: $9\frac{1}{2}$
Question : A trader allows a 40% discount on his goods, but he loses 30% on them. Find the percentage of the marked price above the cost price.
Option 1: $15\frac{2}{3}\%$
Option 2: $15 \frac{1}{3} \%$
Option 3: $16 \frac{2}{3} \%$
Option 4: $16 \frac{1}{3} \%$
Question : 30 women working 5 hours a day can complete a work in 18 days, In how many days will 21 women working 8 hours a day complete the same work?
Option 1: $18 \frac{7}{13}$ days
Option 2: $17 \frac{11}{13}$ days
Option 3: $16 \frac{1}{14}$ days
Option 4: $13 \frac{3}{14}$ days
Question : If $\mathrm{A}=\cot 30^{\circ} \tan 60^{\circ}+\cot 60^{\circ} \tan 30^{\circ}$, then what is the value of A?
Option 1: $\frac{1}{ \sqrt{ 3}}$
Option 2: $\frac{10}{3}$
Option 3: $\frac{10}{ \sqrt{3}}$
Option 4: $\frac{1}{3}$
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