SSC CGL 13th Dec 2022 Shift-3

Instructions

For the following questions answer them individually

Question 51

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

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Question 52

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

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Question 53

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?

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Question 54

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:

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Question 55

The side of an equilateral triangle is 9 cm. What is the radius of the circle circumscribing this equilateral triangle?

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Question 56

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:

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Question 57

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?

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Question 58

If $$\tan 40^\circ = \alpha$$, then Find $$\frac{\tan 320^\circ - \tan 310^\circ}{1 + \tan 320^\circ . \tan 310^\circ}$$.

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Question 59

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?

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Question 60

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?

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