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

Instructions

For the following questions answer them individually

SSC CGL Tier-2 4th-September-2011 Maths - 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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SSC CGL Tier-2 4th-September-2011 Maths - 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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SSC CGL Tier-2 4th-September-2011 Maths - 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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SSC CGL Tier-2 4th-September-2011 Maths - Question 64


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

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SSC CGL Tier-2 4th-September-2011 Maths - 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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SSC CGL Tier-2 4th-September-2011 Maths - 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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SSC CGL Tier-2 4th-September-2011 Maths - 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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SSC CGL Tier-2 4th-September-2011 Maths - Question 68


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

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