SSC CGL 8th Dec 2022 Shift-2

Instructions

For the following questions answer them individually

Question 61

A person having bought goods for Rs.400 sells half of it at a gain of 5%. At what gain percentage must he sell the remainder, so as to gain 25% on the whole?

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Question 62

If $$\cot A = \frac{12}{5}$$ , then the value of $$\sin A =$$ ?

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Question 63

What is the value of $$\tan 6^{\circ} \times \tan 45^{\circ} \times \tan 84^{\circ}$$?

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Question 64

The given bar diagram represents the number of persons who have taken an insurance policy on the y-axis, and the year of purchase of the insurance policy on the x-axis.

What is the approximate percentage of change in the number of persons who have taken the insurance policy in the year 2014 to that in the year 2011 (correct to one decimal place)?

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Question 65

If $$x = \frac{\sqrt{5} - \sqrt{4}}{\sqrt{5} + \sqrt{4}}$$ and $$y = \frac{\sqrt{5} + \sqrt{4}}{\sqrt{5} - \sqrt{4}}$$ then the value of $$\frac{x^{2} - xy + y^{2}}{x^{2} + xy + y^{2}} =$$?

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Question 66

If $$\sin \theta -\cos \theta = \frac{4}{5}$$, then find the value of $$sin \theta + \cos \theta$$.

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Question 67

An iron rod with diameter 4 cm and length 12 cm is drawn into a wire of length 12 m of uniform thickness. Determine the thickness of the wire.

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Question 68

The fourth proportional to 16 and 26 and 32 is:

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Question 69

If $$\tan \left(\alpha+\beta\right)=\surd{3},\tan \left(\alpha-\beta\right)=1$$ where $$\left(\alpha+\beta\right)$$ and $$\left(\alpha-\beta\right)$$ are acute angles, then what is $$\tan \left(6\alpha\right)$$?

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Question 70

If $$\frac{2p}{2p^{2} - 5p + 1},p \neq 0$$, then the value of $$\left(p+\frac{1}{p}\right)$$

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