SSC CHSL 16th April 2021 Shift-1

Instructions

For the following questions answer them individually

Question 51

The average weight of some studentsin a class was 69.5 kg. When 10 students of average weight 68 kg joined the class. and 6 students of average weight 60 kg left the class, it was noted that the average weight of the newgroup of students increased by 2 kg. How many students are there in the class now?

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Question 52

The length of the base of a right-angled triangle is 40 cm and its hypotenuse is 41 cm long. Whatis its area (in cm?) and perimeter (in cm), respectively?

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Question 53

In how manyyears, will ₹5,450 amountto ₹8,175, if invested at simple interest at the rate of 12.5% per annum?

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Question 54

If $$\left(x + \frac{2}{x}\right) = 7$$, then what is the value of $$\left(2x^2 + \frac{8}{x^2}\right)$$?

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Question 55

A bicycle wheel has a radius of 42 cm. It makes 40 revolutions in 25 seconds. Whatis its speed (in km/h, up to one decimalplace)?

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Question 56

P can complete five-eighths of a work in 15 days and Q can complete three-fourths of the same work in 30 days. They worked together for 8 days and then P left. How muchtime will Q working alone, take to complete the remaining work?

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Question 57

The diameter of a wheel is 1.33 m. Whatdistance (in m, to the nearest whole number) will it travel in 380 revolutions?
(Take $$\pi = \frac{22}{7}$$)

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Question 58

If $$x - 3 = \frac{1}{2x}$$, then what is the value of $$\left(x^4 + \frac{1}{16x^4}\right)$$?

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Question 59

Akite is flying at a height of 138 m above the ground.It is attached to a string inclined at $$45^\circ$$ to the horizontal. What is the approximate length (in m) of the string?

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Question 60

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 of vehicles in thousands.
(The data shown here is only for mathematical exercise. They do not represent the actual figures of the country.)

The average value of the vehicles manufactured by Company A is what per cent of the average value of the vehicles manufactured by Company B during 2010 to 2015?

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