SSC CGL Tier-2 29th January 2022 Maths

What is the area (in unit squares) of the region enclosed by the graphs of the equations $$2x-3y+6=0$$, $$4x+y=16$$ and $$y=0$$

The slant height and radius of right circular cone are in the ratio 29 : 20. If its volume is 4838.4 $$\pi$$ $$cm^{3}$$, then its radius is:

If the selling price of 7 articles is equal to the cost price of 8 articles, then what is the profit percentage (correct to one decimal place)?

The value of $$0.4\overline{6}+0.7\overline{23}+0.3\overline{9}\times0.\overline{7}$$ is:

In an examination, average marks of a student per paper were 71. If he would have obtained 35 more marks in sciences; 11 more marks in history and 4 more marks in computer science, his average marks per paper would have been 76. How many papers were there in the examination?

In $$\triangle$$PQR , S is a point on the side QR such that $$\angle QPS =  \frac{1}{2}\angle PSR$$, $$\angle QPR =78^{\circ}$$ and $$\angle PRS = 44^{\circ}$$. What is the measure of $$\angle$$PSQ?

The value of $$\left(1\frac{1}{3}\div2\frac{6}{7} of 5\frac{3}{5}\right)\times\left(6\frac{2}{5}\div4\frac{1}{2} of 5\frac{1}{3}\right)\div\left(\frac{3}{4}\times2\frac{2}{3}\div\frac{5}{9} of 1\frac{1}{5}\right)$$= k, where k lies between.

If $$2x-y = 2$$ and $$xy=\frac{3}{2}$$, then what is the value of $$x^{3}-\frac{y^{3}}{8}$$?

The income of A is $$\frac{2}{3}$$ of B's income and the expenditure of A is $$\frac{3}{4}$$ of B's expenditure. If $$\frac{1}{3}$$ of the income of B is equal to the expenditure of A, then the ratio of the savings of A to those of B is:

G is the centroid of a triangle ABC, whose sides AB= 35 cm. BC= 12 cm, and AC= 37 cm. The length of BG is (correct to one decimal place):