SSC CPO 9th Dec 2019 Shift-1

60 discs each of diameter 21 cm and thickness $$\frac{1}{3}$$ cm are stacked one above the other to form rightcircular cylinder.
What is its volume in $$m^3$$ if $$\pi = \frac{22}{7}$$?

The speed of two railway enginesis in the ratio 5 : 4. If they moveonparallel tracks in the same direction and if the slower engine is ahead of the faster engine by 8 km when the latter starts, then how far will the faster engine have to travel before it overtakes the slower one?

If $$0 \leq \theta \leq 90^\circ$$, and $$(2\theta + 50^\circ) = \cos (4\theta + 16^\circ)$$, then what is the value of $$\theta$$ (in degrees)?

The average run rate of a cricket team during the first 20 overs is 4.5. What should be the askingrate per over for the next 30 overs,if it has to chase a target of 282 runs in total ?

A chord of the larger among two concentric circles is of length 10 cm and it is tangent to the smaller circle. What is the area (in cm$$^2$$) of the annular portion between the two circles?

What is the Simplified value of:
$$\frac{1}{8}\left\{\left(x + \frac{1}{y}\right)^2 - \left(x - \frac{1}{y}\right)^2\right\}$$

The following pie-chart and table show the percentage distribution of farmers in 5 states A, B, C, D & E of a country who claimed insurance due to drought in the year 2017 and ratio of males to females of the number of farmers in states, respectively.
Study the pie-chart and the table carefully and answer the following questions.
Note: Some data are missing in the pie-chart and table, if required in any question, find the missing data first and then answer the question.
Total number of farmers who claimed insurance in the year 2017 = 2,64,000

The number of farmers who claimed insurance in state C exceeds the total number of farmers (who claimed insurance)in state E and state A together by 5280. What is the percentage of farmers who claimed insurance in state E?

Which one among the following is the smallest?

At what percentage rate, compound interest compounded annually for a sum of ₹40,000, will amount to ₹44,100 in two years?

The two parallel sides of a trapezium are 27 cm and 13 cm respectively. If the height of the trapezium is 8 cm, then what is its area in m$$^2$$?