SSC CGL 8th Dec 2022 Shift-2

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?

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

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

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)?

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 $$\frac{x^{2} - xy + y^{2}}{x^{2} + xy + y^{2}} =$$?

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

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.

The fourth proportional to 16 and 26 and 32 is:

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 $$\tan \left(6\alpha\right)$$?

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