SSC CGL 8th Dec 2022 Shift-2
For the following questions answer them individually
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?
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.
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 $$\left(p+\frac{1}{p}\right)$$
