SSC CHSL 4th August 2021 Shift-1

Using algebraic identities, simplify the following expression.
$$\frac{(x^4 + x^2 + 1)}{(x^2 + x + 1)}$$

Students of Primary. Middle, Secondary and Sr. Secondary classes collected donation for a Relief Fund as shown in the pie chart. If the donation collected from Middle classes was ₹6,750, then how much money was collected by the Primary classes?

One-quarter of a circular pizza of diameter 28 cm was removed from the whole pizza. Whatis the perimeter(in cm) of the remaining pizza? (Take $$\pi = \frac{22}{7}$$)

The inner and outer radii of two concentric circles are 6.7 cm and 9.5 cm, respectively. Whatis the difference between their circumferences (in cm)? Take $$\pi = \frac{22}{7}$$

Study the given graph and answer the question that follows.

The average production of paper by company B in 2014, 2017 and 2018 was $$13\frac{1}{3}\%$$ less than the production of paper by company A in the year:

What is the perimeter (in cm)of an equilateral triangle whose height is 3.46 cm? Take $$\sqrt{3} = 1.73$$.

The value of $$[\left\{(232 \div 29  of  2) + 77 \times 10\right\} \div 18 ] - \frac{18 \times 8 \div 4  of  3 - 4}{2 \times (8 - 6) + 1 - 2 \times 3 \div 4  of  \frac{1}{2}}$$ is:

The string of a kite is 158 m long andit makes an angle of $$30^\circ$$ with the horizontal. Whatis the height (in m)of the kite? Assumethere is no slack in the string.

If $$\left(x + \frac{1}{x}\right)^3 = 27$$, then what is the value of $$\left(x^2 + \frac{1}{x^2}\right)$$? Given that x is real.

Study the given pie-chart and answer the question that follows.
The pie-chart represents the consumption offuel (in million litres) by various modes of transport of a country X in the year 2015. The total consumptionof fuel by various modesoftransport of the country is 800 million litres.
(The data shown here is only for mathematical exercise. They do not represent the actual figures of the country.)

To obtain fuel, energy is required to run the machinery, which is to be produced by burning coal.
If 1 tonne of coal is bumt to produce 0.4 million litres of oil, then approximately what is the requirement of coal (in tonnes) for the Trains sector?