SSC CGL Tier-2 29th January 2022 Maths

The sum of the interior angles of a regular polygon A is 1260 degrees and each interior angle of a regular polygon B is $$128\frac{4}{7}$$ degrees. The sum of the number of sides of polygons A and B is:

Eight years ago, the ratio of ages of A and B was 5 : 4. The ratio of their present ages is 6 : 5. What will be the sum (in years) of the ages of A and B after 7 years from now?

The base of a right prism is a triangle with sides 16 cm, 30 cm and 34 cm. Its height is 32 cm. The lateral surface area (in $$cm^{2}$$) and the volume (in $$cm^{3}$$) are, respectively:

The graphs of the equations
$$4x+\frac{1}{3}y=\frac{8}{3}$$ and $$\frac{1}{2}x+\frac{3}{4}y+\frac{5}{2} = 0$$ intersect at a point P. The point P also lies on the graph of the equation:

A saves 35% of his income. If his income increases by 20.1% and his expenditure increases by 20%, then by what percentage do his savings increase or decrease? (correct to one decimal place)

The value of $$\left(2\frac{6}{7} of 4\frac{1}{5}\div\frac{2}{3}\right)\times5\frac{1}{9}\div\left(\frac{3}{4}\times2\frac{2}{3} of \frac{1}{2}\div\frac{1}{4}\right)$$ is:

Let x = $$\left(433\right)^{24}-\left(377\right)^{38}+\left(166\right)^{54}$$. What is the units digit of x?

If 7 $$\sin^{2}\theta + 4 \cos^{2}\theta = 5$$ and $$\theta$$ lies in the first quadrant, then what is the value of $$\frac{\sqrt{3}\sec\theta+\tan\theta}{\sqrt{2}\cot\theta-\sqrt{3}\cos\theta}$$?

The surface area of a sphere is 221.76 $$cm^{2}$$• Its volume (in $$cm^{3}$$ ) is (correct to one decimal place):
(Take $$\pi=\frac{22}{7}$$)

If $$2x^{2}+5x+1=0$$, then one of the values of $$x - \frac{1}{2x}$$ is: