SSC MTS 14th October 2021 Shift-3

Instructions

For the following questions answer them individually

Question 51

The radius of a cylinder is reduced to 50% of its actual radius. If its volume remains the same as before, then its height becomes k times the original height. The value of k is:

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Question 52

The value of $$21-\left[29-\left\{27-\left(43-15\div3\times4of3+2\right)\right\}\right]$$ is:

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Question 53

The length and breadth of a rectangle are 35 cm and 11 cm, respectively. What will be the circumference of the circle that inscribes this rectangle? (Take $$\pi=\frac{22}{7}$$)

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Question 54

A man travelled from A to B at a speed of 10 m/sec, and returned to A from B at a speed of $$x$$ km/h. If his average speed is 45 km/h, then what is the value of $$x$$ ?

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Question 55

A loss of 12% is incurred when an article is sold for ₹242. To get a profit of 15%, the article should be sold for (in ₹):

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Question 56

Study the given graph and answer the question that follows.


In which year are the exports of the country 87.5% of the average imports during 2016, 2017 and 20 18?

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Question 57

If a, b and c are the median. mode and range, respectively, of the data: 8, 5, 4, 3, 2, 7, 3, 10, 9, 17, 12, 3, 8, 4, then what is the value of $$\left(3a-2b+c\right)$$?

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Question 58

The simple interest on a certain sum for $$4\frac{2}{3}$$ years at $$6\frac{3}{4}$$% is ₹8,820. What will be the amount of the same sum after $$7\frac{1}{2}$$ years at $$8\frac{1}{3}$$% at simple interest?

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Question 59

Study the given graph and answer the question that follows.


If a pie chart is drawn for the data related to the imports of the country over the 5 years, then what will be the central angle (in degrees) of the sector representing the imports in 2015?

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Question 60

Seven years ago, the ratio of the ages of A and B was 2 : 3. Three years hence, the ratio of their ages will be 5 : 7. The sum of their present ages (in years) is:

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