SSC CGL 20th April 2022 Shift-3

The length of the body diagonal of a cube is $$8\sqrt{3}$$ cm. What is the volume (in $$cm^{3}$$) of the cube?

A and B can do a work in 12 days and 18 days, respectively. They worked together for 4 days after which B was replaced by C and the remaining work was completed by A and C in the next 4 days. In how many days will C alone complete 50% of the same work?

Find the value of the following expression:
$$\frac{1\frac{1}{2}+1\frac{3}{7}\div\left(1\frac{3}{5} of 1\frac{1}{4}\right)\times2\frac{1}{3}}{2\frac{2}{3}\div\frac{4}{9}\times\frac{5}{6}+14}$$

PQRS is a cyclic quadrilateral and PQ is a diameter of the circle. If $$\angle RPQ = 23^{\circ}$$, then what is the measure of $$\angle$$ PSR?

If $$5\sqrt{3}+\sqrt{75}= 17.32$$, then the value of $$14\sqrt{3}+\sqrt{108}$$

Select the option that can be used as a one-word substitute for the given group of words.
Lacking interest or excitement

The following sentence has been split into four segments. Identify the segment that contains a grammatical error.
Will you / care for / a cup of / hot coffee?

The following sentence has been divided into parts. One of them may contain a grammatical error. Select the part that contains the error from the given options. If you don’t find any error, mark ‘No error’ as your answer.
They had hardly completed / half of the work / than the boss called them.

Select the option that expresses the given sentence in active voice.
He is given proper guidance by his boss.

The following sentence has been split into four segments. Identify the segment that contains a grammatical error.
We bought / two dozens / mangoes from / the mark.,