SSC CGL Tier-2 01-December-2016 Maths

A square and a regular hexagon are drawn such that all the vertices of the square and the hexagon are on circle of radius r cm. The ratio of area of the square and the hexagon is

A solid cylinder has the total surface area 231 sq.cm. If its curved surface area is $$\frac{2}{3}$$ of the total surface area, then the volume of the cylinder is

The lateral surface area of frustum of a right circular cone,if the area of its base is $$16 \pi  cm^2$$ and the diameter of circular upper surface is 4 cm and slant height 6 cm, will be

The diameter of a sphere is twice the diameter of another sphere, The surface area ofthefirst sphere is equal to the volume of the second sphere, The magnitude of the radius ofthefirst sphereis

A right circular cylinder having diameter 21 cm & height 38 cm is full of ice cream. The ice cream is to be filled in cones of height 12 cm and diameter 7 cm having a hemispherical shape on the top. The numberof such conesto befilled with ice cream is

The Simplified value of $$  \left(1 - \frac{2xy}{x^2 + y^2}\right) \div \left(\frac{x^3 - y^3}{x - y} - 3xy\right)$$ is

If $$a + b + c = 0$$ then the value of $$\frac{1}{(a + b)(b + c)} + \frac{1}{(b + c)(c + a)} + \frac{1}{(c + a)(a + b)}$$ is

If $$x^2 + y^2 + 2x + 1 = 0$$, then the value of $$x^{31} + y{35}$$ is

If $$x = \frac{\sqrt{5} + 1}{\sqrt{5} - 1}  and  y = \frac{\sqrt{5} - 1}{\sqrt{5} + 1}$$, the value of $$\frac{x^2 + xy + y^2}{x^2 - xy + y^2}$$ is

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