SSC CGL 20th April 2022 Shift-1

Find the value of k in the number 3426k if the number is divisible by 6 but NOT divisible by 5.

Simplify the following expression:
$$\cosec^{4} A\left(1 - \cos^{4} A \right) - 2 \cot^{2} A - 1$$

The inner circumference of a circular path enclosed between two concentric circles is 264 m. The uniform width of the circular path is 3 m. What is the area (in $$m^{2}$$, to the nearest whole number) of the path? (Taken $$\pi = \frac{22}{7}$$)

A college hostel mess has provisions for 25 days for 350 boys. At the end of 10 days, when some boys were shifted to another hostel, it was found that now the provisions will last for 21 more days. How many boys were shifted to another hostel?

If $$x^{2}+\frac{1}{x^{2}}=18, x>0$$, then find the value of $$x^{3}+\frac{1}{x^{3}}$$

Given below are four sentences which are jumbled. Pick the option that gives their correct order.
A. The sectors included agriculture, public health and public utilities among others.
B. The GGI framework covered 10 sectors and 58 Industries.
C. The Good Governance Index (GGI) 2021scores have been declared.
D. The objective was to provide quantifiable data to compare the performance of different States and Union Territories in these sectors.

Identify the segment in the sentence which contains the grammatical error.
Alex picked up the boxes quite easily even they were heavy.

Select the most appropriate ANTONYM of the given word.
Pliable

Select the option that can be used as a one-word substitute for the given group of words.
Easily hurt emotionally

The following sentence has been divided into parts. One of them may contain an 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.
This hall is / badly to need / of repair.