SSC CPO 9th Dec 2019 Shift-1
For the following questions answer them individually
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?
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$$^2$$?
