SSC CGL 13th April 2022 Shift-1

In a circle of diameter 20 cm, chords AB and CD are parallel to each other. BC is diameter. If AB is 6 cm from the centre of the circle, what is the length (in cm) of the chord CD?

In a triangle ABC, D and E are points on BC such that AD= AE and $$\angle BAD - \angle CAE$$. If AB= (2p + 3), BD = 2p. AC= (3q - 1) and CE = q, then find the value of (p + q).

In a factory with 400 employees, the ratio of the number of male employees to that of female employees is 5: 3. There are 87.5% regular employees in the factory. If 92% of male employees are regular employees, then what is the percentage of regular female employees?

Find the value of the following expression:
$$\frac{\tan^{3} 45^{\circ}+4 \cos^{3} 60^{\circ}}{2 \cosec^{2} 45^{\circ} - 3 \sec ^{2} 30^{\circ} + \sin 30^{\circ}}$$

The given bar graph shows the income and expenditure (in crores ₹) of a company over 5 years, from 2014 to 2018.
Study the bar graph and answer the question that follows.

In which of the following years is the ratio of expenditure to income the minimum?

The following sentence has been divided into parts. One of them contains an error. Select the part that contains the error from the given options.
This question / is quite too / simple for me / to answer.

Select the most appropriate meaning of the given idiom.
Dark horse

Select the most appropriate ANTONYM of the given word.
CLENCH

The following sentence has been split into four segments. Identify the segment that contains a grammatical error.
If he wants / farther information, / send him / to me.

Select the correct passive voice of the given sentence.
Preeti invited Ritu for a party.