Subject Experts Solutions for Chapter: SSC Combined Graduate Level (CGL) Solved Paper (2018), Exercise 3: QUANTITATIVE APTITUDE

A train without stoppage travels with an average speed of $50 km/h$, and with stoppage, it travels with an average speed of $40 km/h$. For how many minutes does the train stop on an average per hour?

If $x+\frac{1}{x}=3$, then $x^3+\frac{1}{x^3}$ is equal to:

A is $40\%$ more efficient than B and C is $20\%$ less efficient than B. Working together, they can finish a work is $5$ days. In how many days will A alone complete $70\%$ of that work?

If $\tan \theta =\frac{2}{3}$, then $\frac{3 \sin \theta -4 \cos \theta }{3 \sin \theta +4 \cos \theta }$ is equal to:

If $\sec 4 \mathrm{\theta }=\mathrm{cosec} (\mathrm{\theta }+{20}^{\mathrm{o}})$, then $\mathrm{\theta }$ is equal to:

In a circle with centre $O, AB$ is the diameter and $CD$ is a chord such that $ABCD$ is a trapezium. If $\angle BAC=40°$, then $\angle CAD$ is equal to:

The value of ${\sin }^2 38°+{\sin }^2 52°+{\sin }^2 30°-{\tan }^2 45°$ is equal to:

$△ABC~△RQP$ and $AB=4 cm, BC=6 cm$ and $AC=5 cm$. If $ar(△ABC):ar(△PQR)=9:4$, then $PQ$ is equal to: