SSC CGL 17th August 2021 Shift-3

If $$4 \sin^2 (2x - 10)^\circ = 3, 0 \leq (2x - 10) \leq 90$$, then find the value of $$\frac{\sin^4(x - 5)^\circ + \cos^4 (x - 5)^\circ}{1 - 2 \sin^2 (3x - 15)^\circ \cos^2(3x - 15)^\circ}$$

Simplify the following expression:
$$\frac{108 \times 108 \times 108 - 92 \times 92 \times 92}{108 \times 108 + 92 \times 92 + 108 \times 92}$$

The value of $$\frac{\sqrt{2}\tan(60^\circ - \theta) \tan(30^\circ + \theta)}{\sin^2 (45^\circ + \theta) + \sin^2 (45^\circ - \theta)}$$ is:

A man borrowed a certain sum and agrees to repay it by paying ₹4000 atthe end of first year and ₹7700 at the end of second year. If the rate of compoundinterest compounded annually is 10% per annum,then find the sum (in ₹) borrowed.

The following bar graph shows the demand and production (in Lakhs) of motor cycles of five different companies A, B, C, D and in 2020.

What is the ratio of total production of motor cycles of companies A, B, C, D and E, to that of the total demand of motorcycles of all the companies during the five years?

Select the most appropriate option to substitute the underlined segment in the given sentence. If no substitution is required, select ‘No substitution’.
No one are supposed to react to her prejudiced comments.

Select the most appropriate option to substitute the underlined segment in the given sentence. If no substitution is required, select ‘No substitution’.
The teacher asked the students for fill the form before entering the classroom.

Select the most appropriate ANTONYM of the given word.
Dividing

Select the most appropriate ANTONYMofthe given word.
Segregate

Select the most appropriate synonym of the given word.
Grumble