SSC CGL 13th Dec 2022 Shift-3

The HCF of three numbers 72, 108 and 2010 is:

If $$\sec \theta + \frac{1}{\cos \theta} = 2$$, find the value of $$\sec^{55} \theta + \frac{1}{\sec^{55} \theta}$$.

The following bar chat shows the export of a certain commodity P in crore rupees between 2014 and 2020.

For how many years, there was less expon 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?

Shiva’s monthly salary is Rs.75,000. He spends Rs.12,000 on household items, Rs.14,000 on LIC and mutual funds, Rs.15,000 on his children’s education, and keeps Rs.10,000 for miscellaneous expenses. His savings are Rs.21,000 per month and he donates the rest of the amount to an orphanage. The percentage of his income that he donates is:

The following line graph displays the ratio of exports to imports (in terms of money in t 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 $$\tan 40^\circ = \alpha$$, then Find $$\frac{\tan 320^\circ - \tan 310^\circ}{1 + \tan 320^\circ . \tan 310^\circ}$$.

The table given below shows the foreign trade by two countries in 5 different years.

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?