SSC CGL 17th August 2021 Shift-3

Instructions

For the following questions answer them individually

Question 71

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

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Question 72

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

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Question 73

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:

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Question 74

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.

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Question 75

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?

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Question 76

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.

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Question 77

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.

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Question 78

Select the most appropriate ANTONYM of the given word.
Dividing

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Question 79

Select the most appropriate ANTONYMofthe given word.
Segregate

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Question 80

Select the most appropriate synonym of the given word.
Grumble

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cracku

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