SSC CHSL 2021-16.04.2021-3 SSC Question Paper

Simplify the following expression.
\(\frac{0.8\times0.8\times0.8 + 0.6\times0.6\times0.6}{0.08\times0.08 + 0.06\times0.06 - 0.08\times0.06}\)

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)

Study the given bar graph which shows the lifetime (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 x² - y² = 45 and x - y = 5 then what is the value of x³ - y³ ?

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

If a³ + b³ + c³ - 3abc = 250 and a + b + c = 10, then what will be the value of \(\frac{1}{5}\) (ab + bc + ca)

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