SSC CHSL 12th August 2021 Shift-2

If $$a = \frac{\sqrt{5} + 2}{\sqrt{5} - 2}$$ and $$b = \frac{\sqrt{5} - 2}{\sqrt{5} + 2}$$, then the value of $$2a^2 + 2b^2 - 5ab$$ is equal to:

The value of $$a^3 + b^3 + c^3 - 3abc$$, when a = 125, b = 127 and c = 129, is:

The marked price of a table is ₹3,000, which is 25% above the cost price. It is sold at a discount of 20% on the marked price. What is the profit or loss per cent?

$$\triangle ABC$$ is drawn in a circle such that AC = BC and $$\angle BAC = 65^\circ$$. From points B and C two tangents are drawn which intersect at point P. Whatis the measure of $$\angle BPC$$?

If $$\cosec A = 10$$, then what is the value of $$20 \sin A + 9 \sqrt{11} \sec A$$?
Given that A is an acute angle.

The daily wages of P, Q and are in the proportion 5 : 7 : 8. If Q earns ₹560 per day, then what are the daily wages(in ₹) of R and P, respectively?

The area of an equilateral triangle is $$10.24 \sqrt{3} m^2$$. Its perimeter (in m) is:

The square of the diagonal of a cube is 2175 cm$$^2$$. What is the total surface area (in cm$$^2$$) of the cube?

A shopkeeper bought 95 dozen oranges at ₹4.50 each. 7 dozen oranges were rotten and so were discarded. He sold the remaining oranges at ₹78 per dozen. What is his profit or loss per cent (to the nearest integer)?

The average age of 7 members of a family is 35 years. If the youngest members are twins and they are 15 years old, then what was the average age (in years) of the family members at the time of the birth of the twins?