SSC CGL 23rd August 2021 Shift-2

Pie-Chart shows the degree wise breakup of expenditure of a family in a month. Total income of the family is ₹144000.

What is the expenditure (in ₹) on education?

Tangent is drawn from a point P to a circle, which meets the circle at T such that PT = 8 cm. A secant PAB intersects the circle in points A and B. If PA= 5 cm, what is the length (in cm) of the chord AB?

Study the following table and answer the question:
Number of students enrolled for Vocational Courses (VC) in institutes A, B, C, D, E & F.

The difference between the average number of students enrolled for VC in institute F in 2015, 2017 and 2018 and the average number of students enrolled in all the six institutes in 2014, is:

If $$\frac{\sin^2 \theta}{\tan^2 \theta - \sin^2 \theta} = 5, \theta$$ is an acute angle, then the value of $$\frac{24\sin^2\theta-15\sec^2\theta}{6\operatorname{cosec}^2\theta-7\cot^2\theta}$$ is:

The area of a circular path enclosed by two concentric circles is 3080 m$$^2$$. If the difference between the radius of the outer edge and that of inner edge of the circular path is 10 m, what is the sum (in m) of the two radii? (Take $$\pi = \frac{22}{7}$$)

Three persons A, B and C donate 10%, 7% and 9% respectively of their monthly salaries to a charitable trust. Monthly salaries of A and B are equal and the difference between the donations of A and B is ₹900. If the total donation by A and B is ₹600 more than that of C, then what is the monthly salary (in ₹) of C?

If x is subtracted from each of 24, 40, 33 and 57, the numbers, so obtained are in proportion. The ratio of (5x + 12) to (4x + 15) is:

To do a certain work, efficiencies of A and B are in the ratio 7:5. Working together, they can complete the work in $$17\frac{1}{2}$$ days. In how many days, will B alone complete 50% of the same work?

At what rate percent per annum will ₹7200 amountto ₹7938 in one year, if interest is compounded half yearly?

Study the following table and answer the question:
Number of students enrolled for Vocational Courses (VC) in institutes A, B, C, D, E & F.

The total number of students enrolled for VC in institutes D and F in 2014 is what percent of the total number of students enrolled in institutes A, B and C in 2018? (correct to one decimal point)