SSC CGL 24th August 2021 Shift-3

Table shows District-wise data of number of primary school teachers posted in schools of a city.

What is the difference between the total number of male teachers in the districts East, North, West taken together and the total number of female teachers in the districts East and South?

If $$x^4 - 62 x^2 + 1 = 0$$, where $$x > 0$$, then the value of $$x^3 + x^{-3}$$ is:

Given that $$x^8 - 34x^4 + 1 = 0, x > 0$$. What is the value of $$(x^3 - x^{-3})$$?

If $$\frac{\sin\theta+\cos\theta}{\sin\theta-\cos\theta}=5$$, then the value of $$\frac{4\sin^2\theta+3}{2\cos^2\theta+2}$$ is:

In a circle with centre O, points A, B, C and D in this order are concyclic such that BD is a diameter of the circle. If $$\angle$$BAC = 22$$^\circ$$, then find the measure (in degrees) of $$\angle$$COD.

What is the coefficient of $$x^2$$ in the expansion of $$\left(5-\frac{x^2}{3}\right)^3$$?

A shopkeeper marks an article at a price such that after giving a discount of x%, he gains 20%. If the cost price and the marked price of the article are ₹920 and ₹1472 respectively, then what is the value of x?

In the table, the production and the sale (in 1000 tonnes) of a certain product of a company over5 years is given.

In which year(s) the production increases by more than 10% of that in the previous year?

Simplify: $$\frac{(\sin \theta + \sec \theta)^2 + (\cos \theta + \cosec \theta)^2}{(1 + \sec \theta \cosec \theta)^2}, 0^\circ < \theta < 90^\circ$$

Triangle ABC is right angled at B and D is a point of BC such that BD = 5 cm, AD = 13 cm and AC = 37 cm. then find the length of DC in cm.