SSC CGL 24th August 2021 Shift-2

The value of $$\frac{\sec^2 60^\circ \cos^2 45^\circ + \cosec^2 30^\circ}{\cot 30^\circ \sec^2 45^\circ - \cosec^2 30^\circ \tan 45^\circ}$$ is:

Simplify the following expression.
$$\frac{5(a^6 - b^6)^3 + 5(b^6 - c^6)^3 + 5(c^6 - a^6)^3}{2(a^3 - b^3)^3 + 2(b^3 - c^3)^3 + 2(c^3 - a^3)^3}$$

Atul borrowed a sum of ₹12000 and agreed to repay it by paying ₹4800 at the end of first year and ₹9240 at the end of second year. Whatis the rate of compound interest compounded annually?

What is the product of the average of first ten positive odd numbers and the average of first fifteen positive even numbers?

Bar graph shows the number of males and females in five organizations A, B, C, D and E.

What is the ratio of number of males working in organizations C, D and E taken together to that of females working in organizations A, B and C taken together?

A shop keeper sold an article at four-fifth of the marked price and suffered a loss of $$3 \frac{1}{3}\%$$. Find the profit percent, if he sold the article at the marked price. (correct to nearest integer)

Points A, B and C are on circle with centre O such that $$\angle$$BOC = 84$$^\circ$$. If AC is produced to a point D such that $$\angle$$BDC = 40$$^\circ$$, then find the measure of $$\angle$$ABD (in degrees).

A man walking at a speed of 3 km/h crosses a square field diagonally in 5 minutes. What is the area of the field (in m$$^2$$)?

If $$y = 2x + 1$$, then what is the value of $$(8x^3 - y^3 + 6xy)$$?

The pie graph shows the distribution of employees working in five departments A, B, C, D and E of a company.
Total number of employees = 9000

If the number of employees working in department A is x and the total number of employees working in departments C and E is y, then the value of y - 2x is: