SSC CGL Tier-2 4th-September-2011 Maths

Instructions

For the following questions answer them individually

Question 61

A cylinder and a cone have equal radii of their bases and equal heights. If their curved surface areas are in the ratio 8 : 5, the ratio of their radius and height is

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Question 62

A solid is hemispherical at the bottom and conical above. If the surface areas of the two parts are equal, then the ratio of radius and height of its conical part is

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Question 63

Base of a right prism is an equilateral triangle of side 6 cm. If the volume of the prism is 108 $$\sqrt{3}$$cc. its height is

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Question 64

If $$a+\frac{1}{a}+2$$ then the value of $$a^{37}-\frac{1}{a^{100}}$$

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Question 65

The value of k for which the graph of (k -1) x + y - 2 = 0 and (2 - k) x - 3y + 1) = 0 are parallel is

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Question 66

The length of a shadow of a vertical tower is $$ \frac{1}{\sqrt3} $$ times its height. The angle of elevation of the Sun is

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Question 67

The graph of x + 2y = 3 and 3x - 2y = 1 meet the Y-axis at two points having distance

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Question 68

if x+$$\frac{1}{16x}$$=1, then the value of $$64x{3}+\frac{1}{64x^{3}}$$

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Question 69

If a, b, c are three non-zero real numbers such that a + b + c = 0, and b2 ca, then the value of is $$\frac{a^{2}+b^{2}+a^{2}}{b^{2}-ca} is $$

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Question 70

If  $$a^{4}+ a^{2}b ^{2}+ b^{4}$$ =8 and $$a^{2}+ ab+ b^{2}$$ = 4, then the value of ab is

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