SSC CGL Tier-2 8th August 2022 Maths

What is the value of $$\frac{\sqrt{29.13}}{\sqrt{1.1664}} + \frac{\sqrt{0.2916}}{\sqrt{116.64}} + \frac{\sqrt{0.0036}}{\sqrt{0.36}}$$?

If $$\left(x + \frac{1}{x}\right)^2 = 3$$, then what is the value of $$x^6 + x^{-6}$$?

What is the simplefied value of $$\frac{(x + y + z)(xy + yz + zx) - xyz}{(x + y)(y + z)(z + x)}$$?

A person sells an ru1icle for a loss of 18 percent. If he increases the selling price by ₹ 144 ru1d decreases the cost price by 30 percent, then there is profit of 20 percent. What is the original selling price?

The selling prices of articles A and B are the same. A is sold at a profit of 28 percent and B is sold at a loss of 24 percent. If the total selling price of the both an icles is ₹ 48640, then what is the cost price of A and B, respectively?

If $$\sin \theta = \left(\frac{9}{41}\right), 0^\circ < \theta < 90^\circ$$ then what is the value of $$\cos \theta$$?

The ratio of the three sides of the triangle are 5 : 13 : 12. What is the largest angle of the triangle?

The cost price of an anicle is ₹ 2800. Profit as a percentage of selling price is 20 percent. What is the actual profit (in ₹)?

The curved surface area of a solid hemisphere is 22 cm$$^2$$. What is the total smface area of the hemisphere? (use $$\pi = \frac{22}{77}$$)

Salaries of B, C, D and E are in the ratio of 2 : 3 : 4 : 5 respectively. Their salaries are increased by 20 percent, 30 percent, 40 percent and 50 percent respectively. If the increased sala1y of D is ₹ 560, then what is the sum of the original salaries of B, C, D and E?