SSC CGL 6th Dec 2022 Shift-4

Instructions

For the following questions answer them individually

Question 51

If $$\sec \theta - 2\cos \theta = \frac{7}{2}$$?, where $$\theta$$ is a positive acute angle, then the value of $$\sec \theta$$ is:

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Question 52

The sum of two numbers is 18 and their HCF and LCM are 3 and 54 respectively. What will be the sum of their reciprocals?

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Question 53

Rohan scored twice as many marks in English as he did in Science. His total marks in English, Science and Mathematics are 126. If the ratio of his marks in English and Mathematics is 2 : 3, his marks in English are:

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Question 54

The diagonal of the square is $$8\surd{2}$$ cm. Find the diagonal of another square whose area is triple that of the first square.

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Question 55

If $$x + \frac{1}{x}=2$$, then the value of $$x^{57} + \frac{1}{x^{57}}$$ is:

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Question 56

Find the value of $$\tan 3\theta$$ if $$\sec 3\theta = \cosec (4\theta - 15^{\circ})$$.

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Question 57

Three-fourth of a consignment was sold at a profit of 8% and the rest at a loss of 4%. If there was an overall profit of Rs.600, then find the value of the consignment.

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Question 58

The number of parallel tangents of a circle with a given tangent is:

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Question 59

A man loses 20% of his money and after spending 85% of the remainder, he is left with Rs.120. How much did he have at first?

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Question 60

If $$mx^{m} - nx^{n} = 0$$, then the value of $$\frac{1}{x^{m}+x^{n}} + \frac{1}{x^{m} - x^{n}}$$ terms of $$x^{n}$$ is:
Where x, m, n, are x > 0

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