SSC CHSL 12th April 2021 Shift-1

Instructions

For the following questions answer them individually

Question 51

The line graph shows the production (in tonnes) and the sales (in tonnes) of a company.
What percentage (approximately) of the total production of the company is the total sales of the company in all the years together? (correct to 2 decimal places)

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Question 52

If $$\cos \theta = \frac{\sqrt{5}}{2}$$, then what will be the value of $$(\sec \theta + \tan \theta - \cot \theta \sin \theta)$$?

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Question 53

One diagonal of a rhombus is $$8\sqrt{3}$$ cm. If the other diagonal is equal to its side, then the area (in cm$$^2$$) of the rhombus is

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Question 54

The average weight of 30 persons of group A is 3 kg more than the average weight of 25 persons of group B. The average weight of 25 persons of group is 2.5 kg more than the average weight of 20 persons of group C. If the total weight of 30 persons of group A is 1725 kg, then what will be the average weightof the persons of group A and group C taken together (in kg)?

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Question 55

In $$\triangle ABC, \angle A = 135^\circ, CA = 5\sqrt{2}$$ cm and AB = 7 cm. E and F are the midpoints of sides AC and AB, respectively. The length of EF (in cm) is:

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Question 56

Study the given graph and answer the question that follows.

What is the ratio of the total exports in 2014 and 2017 to the total imports in 2015 and 2018?

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Question 57

If $$x^2 - 6\sqrt{3}x + 1 = 0$$, then the value of $$x^3 + \frac{1}{x^3}$$ will be:

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Question 58

A car covers a distance of 48 km at a speed of 40 km/hand another 52 km with a speed of 65 km/h. Whatis the average speed of the car (in km/h) for the total distance covered?

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Question 59

Simplify the following expression. $$(2x - 3y)^3 - 18xy(2x - 3y)$$

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Question 60

Anamika paid ₹4,965 as compound interest on a loan of ₹15,000 after 3 years when compounded annually. Suman took a loan of ₹10,000 at the same rate on simple interest. How much interest did Suman pay after 3 years?

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