If \(\sec \theta + \frac{1}{\cos \theta} = 2\) Find the value of \(\sec^{55}\theta + \frac{1}{\sec^{55}\theta}\)
The following bar chart shows the export of a certain commodity P in crore rupees between 2014 and 2020.
For how many years, there was less export of P than the average export of P?
The cost price of an article is ₹800. After allowing a discount of 10%, a gain of 12.5% was made. The marked price of the article is:
The side of an equilateral triangle is 9 cm. What is the radius of the circle circumscribing this equilateral triangle?
2\( \sqrt{3} \) cm
5\( \sqrt{3} \) cm
4\( \sqrt{3} \) cm
3\( \sqrt{3} \) cm
The following line graph displays the ratio of exports to imports (in terms of money in ₹ crores) of company A from 2010 to 2015.
Study the graph carefully and answer the question based on the given line graph. 
In how many years, the export of company A was more than the company's import?
If tan40° = α, then find \(
\frac{\tan 320^\circ - \tan 310^\circ}{1 + \tan 320^\circ \cdot \tan 310^\circ}
\)
\(
\frac{1 - \alpha^2}{\alpha}
\)
\(
\frac{1 + \alpha^2}{2\alpha}
\)
\(
\frac{1 - \alpha^2}{2\alpha}
\)
\(
\frac{1 + \alpha^2}{\alpha}
\)
The table given below shows the foreign trade by two countries in 5 different years.
| Years |
Country
|
|
| L | M | |
| Y1 | 250 | 125 |
| Y2 | 230 | 185 |
| Y3 | 155 | 275 |
| Y4 | 145 | 255 |
| Y5 | 115 | 170 |
What is the total foreign trade by country M in all the 5 years?
A train travels at a speed of 18 m/s in the first 5 minutes, covers 7.5 km in the next 10 minutes and covers 12 km in another 10 minutes. What is its average speed (in km/h, rounded off to 1 decimal place) for the entire journey?