SSC CHSL 12th August 2021 Shift-3

A car takes 50 minutes to cover a certain distance at a speed of 54 km/h. If the speed is increased by 25%, then how long will it take to cover three-fourth of the same distance?

The given pie charts represent the distribution of candidates who enrolled for a bank clerical examination and the candidates (out of those enrolled) who passed the examination, from five different institutes P,Q. R. S and T. Study the pie charts and answer the question that follows.
(i) Total number of candidates who enrolled for the examination from five institutes = 5500

                                      Fig. (i)

(ii) Total number of candidates who passed the examination from five institutes = 3300

                                              Fig.(ii)

Which institute(s) has/have the highest percentage of candidates passed to the candidates enrolled?

A rectangle with perimeter 50 cm has its sides in the ratio 1 : 4. What is the perimeter of a square whose area is the same as that of the rectangle?

If $$x^2 + \frac{1}{x^2} = 83, x > 0$$, then the value of $$x^3 - \frac{1}{x^3}$$ is:

Two equal circles of radius 8 cm intersect each other such that each passes through the centre of the other. The length of the common chord is:

If $$\tan A + \sec A = \frac{3}{2}$$ and A is an acute angle, then the value of $$\frac{10 \cot A + 13 \cos A}{12 \tan A + 5 \cosec A}$$ is:

Two circles with centres O and P and radii 17 cm and 10 cm. respectively, intersect each other at A and B. The length of the common chord AB is 16 cm. What is the perimeter of the triangle OAP (in cm)?

If $$x + \frac{1}{x} = \sqrt{13}$$, then one of the values of $$x^3 - \frac{1}{x^3}$$ is:

The number of students enrolled in different streams at Senior Secondary level in five schools is shown in the given bar graph.

What is the total number of students enrolled in the Science stream in all the schools?

If the nine-digit number ‘8475639AB’ is divisible by 99, then what is the value of A and B?