SSC CHSL 16th April 2021 Shift-3

Simplify the following expression.
$$\frac{0.8 \times 0.8 \times 0.8 + 0.6 \times 0.6 \times 0.6}{0.08 \times 0.08 + 0.06 \times 0.06 - 0.08 \times 0.06}$$

Study the given graph and answer the question that follows.

What percentage of the imports in 2018 is the average exports in 2013, 2015 and 2017? (correct to one decimal place)

$$\triangle ABC$$ is right-angled at B and D is a point on AC such that BD is perpendicular to AC. If BD = 6 cm and AD = 3 cm, then what will be the length of AC?

Study the given bar graph which shows the life time (in hours) of neon lamps and the number of neon lamps and answer the question that follows.

The number of neon lamps having life 800 hours or more but less than 1000 hours is what percent(correct to nearest integer) of the total number of neon lamps having life 700 hours or less?

If $$x^2 - y^2 = 45$$ and $$x - y = 5$$ then what is the value of $$x^3 - y^3$$?

If a person travels at a speed of 48 km/h, he will reach his destination on time. He covers two-thirds of his journey in five-sixths of time. At what speed (in km/h) should he travel to cover the remaining distance to reach his destination on time?

Two wrist watches were sold for ₹1,980 each. One wrist watch was sold at a profit of 10%andthe other oneat a loss of 10%. The entire transactionresulted in:

A solid metallic cube of side 4.4 cm is melted andrecast in the form of a wire of radius 2 mm. Findthe length (in cm) of the wire.(Use $$\pi = \frac{22}{7}$$)

If $$a^3 + b^3 + c^3 - 3abc = 250$$ and $$a + b + c = 10$$, then what be the value of $$\frac{1}{5}(ab + bc + ca)$$

Simplify the following expression.
$$\left(3\frac{2}{3} of \frac{3}{4} - \frac{1}{4} of \frac{4}{3}\right) \div \left(\frac{1}{4} \div \frac{3}{2}\right) + 1\frac{1}{2}$$