SSC CHSL 12th April 2021 Shift-3

Instructions

For the following questions answer them individually

Question 51

The profit earned after selling an article for ₹8,579 is the same as the loss incurred after selling the article for ₹6,341. The profit percentage is:

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Question 52

$$\triangle PQR$$ is an isosceles triangle with PQ = PR = 25 cm. If PS is the median on QR from P such that PS = 7 cm, then the length of QR is:

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Question 53

Let O be the centre of a circle. PA and PB are tangents to the circle from a point P outside the circle and A and B are points on the circle, If angle $$APB = 50^\circ$$, then angle OAB is equal to:

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Question 54

If a nine-digit number 1263487xy is divisible by both 8 and 5, then the greatest possible values of x and y, respectively, are:

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Question 55

Study the given bar chart and answer the question that follows.
The bar chart shows the production of medicines by a company (in 1000 tonnes) over six years 2010 to 2015.

If in each of the following years, the percentage increase in production as compared to the previous year is taken, then the ratio for increase production of the year 2011 to increase production of year 2015 is:

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Question 56

$$2 \cos \theta + \sec \theta - 2\sqrt{2} = 0$$, where $$\theta$$ is an acute angle. Find the value of $$\theta$$.

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Question 57

Raghav spends 80% of his income. If his income increases by 12% and his expenditure increases by 17.5%, then what is the percentage decrease in his savings?

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Question 58

Three numbers are in the ratio $$\frac{1}{4} : \frac{5}{9} : \frac{7}{12}$$, The difference between the greatest and the smallest number is 180, Find the sum of all the three numbers.

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Question 59

The sum of the radius of the base and the height of a closed solid cylinder is 12.5 cm. If the total surface area of the cylinder is 275 cm$$^2$$, then its radius is:
(Take $$\pi = \frac{22}{7}$$)

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Question 60

The simple interest on a certain sum for 3 years at 12% p.a. is ₹6,750. What is the compound interest(in ₹) on the same sum for 2 years at 20% p.a., if interest is compounded half-yearly? (rounded off to the nearest ₹)

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