SSC CGL 13th August 2021 Shift-3

The value of $$14 - 20 \times [7 - \left\{18 \div 2  \text{of}   3 - (15 - 25 \div 5 \times 4)\right\}]$$ is:

A circle touches all the four sides of a quadrilateral ABCD whose sides are AB = 8.4 cm, BC = 9.8 cm and CD = 5.6 cm. The length of side AD, in cm, is:

If $$2x^2 - 8x - 1 = 0$$, then what is the value of $$8x^3 - \frac{1}{x^3}?$$

A, B and C divide a certain sum of money among themselves. The average of the amounts with them is ₹4520. Share of A is $$10\frac{2}{3}\%$$ more than share of B and $$33\frac{1}{3}\%$$ less than share of C. What is the share of B (in ₹)?

If $$3 \tan \theta = 2\sqrt{3} \sin \theta, 0^\circ < \theta < 90^\circ$$, then find the value of $$2 \sin^2 2\theta - 3 \cos^2 3\theta$$.

The area of a circular park is 12474 m$$^2$$ . There is 3.5 m wide path around the park. What is the area (in m$$^2$$) of the path?(Take $$\pi = \frac{22}{7}$$)

In $$\triangle$$ABC, $$\angle$$C = 90$$^\circ$$ and Q is the midpoint of BC. If AB = 10 cm and AC = $$2\sqrt{10}$$ cm, then the length of AQ is:

The cost price of an article is ₹280. A shopkeeper sells it by allowing 16% discount on its marked price and still gains 20%. What is the marked price(in ₹) of the article?

A and B can do certain work in 18 days and 30 days,respectively. They work together for 5 days. C alone completes the remaining work in 15 days. A and C together can complete $$\frac{5}{6}$$th part of the same work in:

$$\triangle$$ABC $$\sim$$ $$\triangle$$DEF and the area of $$\triangle$$ABC is 13.5 cm$$^2$$ and the area of $$\triangle$$DEF is 24 cm$$^2$$ . If BC = 3.15 cm, then the length (in cm) of EF is: