SSC CGL Tier-2 12-January-2017 Maths

The radius of a cylindrical milk container is half its height and surface area of the inner part is 616 sq.cm. The amount of milk that the container can hold, approximately, is [ Use : $$\surd5 = 2.23$$ and $$\pi = \frac{22}{7}$$ ]

A solid brass sphere of radius 2.1 dm is converted into a right circular cylindrical rod of length 7cm. The ratio of total surface areas of the rod to the sphere is

The sum of the length and breadth of a rectangle is 6 cm. A square is constructed such that one of its sides is equal to a diagonal of the rectangle. If the ratio of areas of the square and rectangle is 5 : 2, the area of the square in $$cm^2$$ is

The length of a side of an equilateral triangle is 8 cm. The area of the region lying between the circum circle and the incircle of the triangle is (use: $$\pi = \frac{22}{7}$$)

A solid sphere of radius 3 cm is melted to form a hollow right circular cylindrical tube of length 4 cm and external radius 5 cm. The thickness of the tube is

If $$x^2 + \frac{1}{x^2} = 98 (x > 0)$$, then the value of $$x^3 + \frac{1}{x^3}$$ is

If $$a + \frac{1}{b} = 1  and  b + \frac{1}{c} = 1$$, then the value of $$c + \frac{1}{a}$$ is

If  $$x = y + 2  then  x^3 - y^3 - z^3  is$$

If $$a + b + c + d = 4$$, then the value of 

$$\frac{1}{(1 - a)(1 - b)(1 - c)} + \frac{1}{(1 - b)(1 - c)(1 - d)} + \frac{1}{(1 - c)(1 - d)(1 - a)} + \frac{1}{(1 - d)(1 - a)(1 - b)}$$ is

The simplified value of  $$\frac{\sqrt{3} - \sqrt{2}}{\sqrt{12} - \sqrt{18}} - \frac{1}{3} \times \sqrt{27} - \frac{1}{2} \times \sqrt[3]{27}$$ is Closest to