SSC CHSL 15th April 2021 Shift-2

Instructions

Study the line graph and answer the question that follows.
The line graph represents the number of vehicles (in thousands) manufactured by two automobile companies A and B over the years from 2010 to 2015. The X-axis represents the years and the Y-axis represents number ofvehicles in thousands.
(The data shown here is only for mathematical exercise. They do not represent the actual figures of the country.)

Question 51

If there was an increase of 24%in the average number of vehicles (in thousands) manufactured by Company B during 2011 to 2014 with respect to number of vehicles manufactured by Company A in 2009. then how many vehicles (in thousands) did Company A manufacture in 2009?

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Question 52

What is the difference between the average number ofvehicles (in thousands) of the companies A and B for the years 2010. 2012. 2014 and 2015?

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Instructions

For the following questions answer them individually

Question 53

If $$(7x + 3)^3 + (x - 2)^3 + 27(2x - 5)^3 = 9(7x + 3)(x - 2)(2x - 5)$$, then the value of $$5x + 3$$is:

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Question 54

Two persons P and Q are 844 m apart. They both start cycling simultaneously in the same direction with speeds of 12 m/s and 8 ms, respectively. In how much time will P overtake Q?

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Question 55

What is the length (in cm) of the longest rod that can be fitted in a box of dimensions 28 cm $$\times$$ 4 cm $$\times$$ 10 cm?

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Question 56

The perimeter of an isosceles triangle is 3.6 m and its base is 30 cm shorter than each of the equal sides. What is the area (in m$$^2$$) of the triangle?

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Question 57

What is the value of $$\frac{\tan^2 60^\circ - 2 \sin^2 45^\circ}{\cos 24^\circ \cos 37^\circ \cosec 53^\circ \cos 60^\circ \cosec 66^\circ + \sin^2 60^\circ}$$

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Question 58

Two successive discounts of 40% and 20%, respectively, on the marked price of an article are equalto a single discount of ₹988. The marked price (in ₹) ofthe article is:

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Question 59

If the simple interest for 9 years be equal to 45% of the principal, then the rate of interest per annum is equal to:

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Question 60

By selling an article for ₹8,670, a man loses 15%. At whatprice (in ₹) should he sell it in order to make a profit of 15%?

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