SSC CHSL 10th March 2023 Shift-3

If $$\frac{(15)^3+(4)^3}{(15^2 + 4^2 - k)} = 19$$, then what is the value of K?

Which of the following is the smallest among $$(14)^{\frac{1}{3}}, (12)^{\frac{1}{2}}, (16)^{\frac{1}{6}}$$ & $$(25)^{\frac{1}{12}}$$?

In a mixture, milk and water are in ratio of 1 : 4. Some milk is added to the mixture because of which ratio of milk and water becomes 2 : 1. How much milk was added as a percentage of initial mixture?

The marked price of an article is 20 percent more than its cost price. What maximum discount percentage can be offered by the shopkeeper to sell his article so that there is no loss?

If $$x^2 + \frac{1}{x^2} = 38$$, then what is the value of $$x - \frac{1}{x}$$?

What is the value of an angle subtended by a chord at the centre of the circle, if the angle subtended by this chord at the circumference is $$66^\circ$$ ?

If $$a + b + c = 0$$, then what is the value of $$a^3 + b^3 + c^3$$?

If $$\sin \theta = \surd{3} \cos \theta$$, then what is the value of $$\frac{3 \sin^2 \theta + \cos \theta}{2 \cos \theta + 5}$$?

If $$\sin(C + D) = \frac{\surd{3}}{2}$$ and $$\sec(C - D) = \frac{2}{\surd{3}}$$ then what is the value of C and D?

The line chart given below shows the saving and expenditure of 5 companies C, D, E, F and G.

Income = Saving + Expenditure
What is the ratio of total expenditure to the total incomes of all the companies?