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

Instructions

For the following questions answer them individually

Question 61

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

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Question 62

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?

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Question 63

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:

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Question 64

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

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Question 65

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

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Question 66

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:

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Question 67

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

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Question 68

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?

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Question 69

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.?

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Question 70

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.

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