SSC CGL Tier l 2023 Question Paper Shift 3 (July 21st)

The value of $$\frac{3}{2} \div \frac{1}{7} \times \left[\left(\frac{1}{2} - \frac{1}{3}\right) \div \frac{1}{42}\right]$$=?

In a circular race of 1600 m, A and B start from the same point and at the same time with speeds of 27 km/h and 45 km/h, respectively. After how long will they meet again for the first time on the track when they are running in the same direction?

A can do 20% of a work in 4 days, and B can do $$33\frac{1}{3}\%$$ of the same work in 10 days. They worked together for 9 days and then C completed the remaining work in 6 days. B and C together will complete 75% of the same work in:

What is the equivalent discount percentage corresponding to two successive discounts of 9% and 17%?

If $$\frac{\cos \alpha}{\sin \beta} = 10$$ and $$\frac{\cos \alpha}{\cos \beta} = 11$$, then the value of $$\cos^{2} \beta$$ is:

Three solid metallic spheres of radii 1 cm, 6 cm and 8 cm, respectively, are melted and recast into a single solid sphere. The radius of the new sphere so formed is:

Simplify the following expression.
$$\frac{\sin \theta - 2\sin^{3} \theta}{2\cos^{3} \theta - \cos \theta}$$

Richa, Rita and Reena can independently complete a work in 8 hours, 12 hours and 24 hours, respectively. If they work together, how much time will they take to complete that work?

Study the given data and answer the question that follows.
Data regarding population of different states in the year 2015 is shown in the pie-chart and table.

If the total population of the given states is 31,5000, then what was the total number of illiterate people in Goa and M.P.?

The area of the sector of a circle of radius 28 cm is 112 $$cm^{2}$$. Find the length of the corresponding arc of the sector.