SSC CGL Tier-2-17-February-2018 Maths

Instructions

For the following questions answer them individually

Question 41

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?

Video Solution
Question 42

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?

Video Solution
Question 43

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?

Video Solution
Question 44

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?

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Question 45

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?

Video Solution
Question 46

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?

Video Solution
Question 47

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?

Video Solution
Question 48

What is the value of $$\frac{[(\sin x + \sin y) (\sin x - \sin y)]}{[(\cos x + \cos y) (\cos y - \cos x)]}?$$

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Question 49

What is the value of $$\left[ \frac{(\tan 5\theta + \tan 3\theta)}{4} \cos 4\theta (\tan 5\theta - \tan 3\theta)\right] $$?

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Question 50

What is the value of $$\left(\frac{4}{3}\right) \cot^2 \left(\frac{p}{6}\right) + 3 \cos^2 (150^\circ)$$ $$- 4 \cosec^2 45^\circ$$ + $$8 \sin \left(\frac{p}{2}\right)$$?

Video Solution
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