SSC CGL Tier-2 29th January 2022 Maths

Instructions

For the following questions answer them individually

Question 11

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 $$y=0$$

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Question 12

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:

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Question 13

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)?

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Question 14

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

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Question 15

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?

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Question 16

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?

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Question 17

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.

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Question 18

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

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Question 19

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:

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Question 20

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):

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