If \(\dfrac{5\cot\theta + \sqrt{3}\cosec\theta}{2\sqrt{3}\cosec\theta + 3\cot\theta}\)= 1, 0° < θ < 90° then the value of \(\dfrac{\dfrac{7}{2}\cot^{2}\theta - \dfrac{3}{4}\cosec^{2}\theta}{4\sin^{2}\theta + \dfrac{3}{2}\tan^{2}\theta}\) will be:
Gaurav bought some articles at 5 for βΉ6 and sold them at 10 for βΉ11. His loss percentage is:
\(8 \tfrac{1}{3}\%\)
\(7 \tfrac{1}{3}\%\)
\(7 \tfrac{2}{3}\%\)
\(8 \tfrac{2}{3}\%\)
Study the following graph and answer the question that follows.
Number of students that appeared and qualified, from various colleges, at a scholarship examination.
What is the ratio of the number of students that appeared to the number of students that qualified at the scholarship examination from College X?
The value of \(\dfrac{284}{5} \div \left[\left(\dfrac{4}{5}\right)\times(15+35) - 11\tfrac{3}{5}\right]\)