SSC CGL 17th August 2021 Shift-3

the following Pie charts represent the distribution of candidates who were enrolled for competitive examination and the candidates (out of those enrolled) who passed the exam from five different institutes P, Q, R, S and T. Fig.(i) Total number of candidates enrolled in five different institutes = 7500

Fig.(ii) Total number of candidates passed the examination from five Institutes = 4000

What is the pass percentage for institute Q? (correct up to one decimal place.)

The ratio of present ages of A and is 7 : 8. After 6 years from now, the ratio of their ages will be 8 : 9. If C's present age is 10 years more than the presentage of A, then the present age (in years) of C is:

A sports-goods shop has tennis balls of 3 colors - red, green and white. The number of white balls is 60% more than number of red balls and the number of green balls is 12.5% less than number of white balls. If total number of balls is 120, then how many green balls are there?

If $$x^2 + 9y^2 + 4z^2 = 12(x - 2y + 2z) - 88$$, then the value of $$(x - 3y + z)$$ is:

A man can rowa distance of 8 km downstream in a certain time and can row 6 km upstream in the same time. If he rows 24 km upstream and the same distance downstream in $$1\frac{2}{4}$$ hours, then the speed (in km/h) of the current is:

If $$7 \cos^2 \theta + 5 \sin^2 \theta - 6 = 0, (0^\circ < \theta < 90^\circ)$$, then what is the value of $$\sqrt{\frac{\cosec \theta + \tan \theta}{\sec \theta - \cot \theta}}$$

In a circle, a ten cm long chord is at a distance of 12 cm from the centre of the circle. Length of the diameter of the circle (in cm) is:

Whatis the area of the square (in cm$$^2$$) whose vertices lie on a circle of radius 5 cm?

The average score of 40 students in a class test is 45. Later on, it was found that at two places 25 was read as 35 and at one place 38 wasread as 32, What is the actual average score of the class?

Simplify the following expression.
$$ \left(\frac{7}{16} \div \frac{1}{2} of \frac{1}{5}\right)\times \frac{4}{5} - \frac{1}{3} \times \frac{5}{8} \div \frac{1}{2} + \frac{3}{4}$$