SSC CGL Tier-2-17-February-2018 Maths
For the following questions answer them individually
Radius of base of a hollow cone is 8 cm and its height is 15 cm. A sphere of largest radius is put inside the cone. What is the ratio of radius of base of cone to the radius of sphere?
The ratio of curved surface area of a right circular cylinder to the total area of its two bases is 2 : 1. If the total surface area of cylinder is 23100 $$cm^2$$, then what is the volume (in $$cm^3$$) of cylinder?
A solid cylinder has radius of base 14 cm and height 15 cm. 4 identical cylinders are cut from each base as shown in the given figure. Height of small cylinder is 5 cm. What is the total surface area (in $$cm^2$$) of the remaining part?
10 identical solid spherical balls of radius 3 cm are melted to form a single sphere. In this process 20% of solid is wasted. What is the radius (in cm) of the bigger sphere?
The radius of base of a solid cylinder is 7 cm and its height is 21 cm. It is melted and converted into small bullets. Each bullet is of same size. Each bullet consisted of two parts viz. a cylinder and a hemisphere on one of its base. The total height of bullet is 3.5 cm and radius of base is 2.1 cm. Approximately how many complete bullets can be obtained?
A cuboid of size $$50 cm \times 40 cm \times 30 cm$$ is cut into 8 identical parts by 3 cuts. What is the total surface area (in $$cm^2$$) of all the 8 parts?
A right triangular pyramid XYZB is cut from cube as shown in figure. The side of cube is 16 cm. X. Y and Z are mid points of the edges of the cube. What is the total surface area (in $$cm^2$$) of the pyramid?
What is the value of $$\frac{[(\sin x + \sin y) (\sin x - \sin y)]}{[(\cos x + \cos y) (\cos y - \cos x)]}?$$
What is the value of $$\left[ \frac{(\tan 5\theta + \tan 3\theta)}{4} \cos 4\theta (\tan 5\theta - \tan 3\theta)\right] $$?
What is the value of $$\left(\frac{4}{3}\right) \cot^2 \left(\frac{p}{6}\right) + 3 \cos^2 (150^\circ)$$Â $$- 4 \cosec^2 45^\circ$$Â + $$8 \sin \left(\frac{p}{2}\right)$$?
