SSC CGL 2013 Tier 1 19 May Morning I

Instructions

For the following questions answer them individually

Question 111

2 men and 3 boys can do a piece of work in 10 days while 3 men and 2 boys can do the same work in 8 days. In how many days can 2 men and 1 boy do the work ?

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Question 112

The perimeter of a rectangular plot is 48 m and area is 108 m2. The dimensions of the plot are

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Question 113

If the total suface area of a hemisphere is 27$$\pi$$ square cm, then the radius of the base of the hemisphere is

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Question 114

A fraction becomes 9/11 , if 2 is added to both the numerator and the denominator. If 3 is added to both the numerator and the denominator it becomes 5/6 . What is the fraction ?

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Question 115

If x = 1 - โˆš2 , then the value of $$(x - 1/x)^3$$

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Question 116

if $$\frac{a}{b} + \frac{b}{a} - 1$$ = 0, then the value of $$a^3 + b^3$$ is

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Question 117

If $$ x + \frac{1}{x} = 99$$, find the value of $$\frac{100x}{2x^2 + 102x + 2}$$

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Question 118

If x = 3 + 2โˆš2 , then find the value of $$x^2 + \frac{1}{x^2}$$

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Question 119

If (a + b + c) = 0, then $$(\frac{a^2}{bc} + \frac{b^2}{ca} + \frac{c^2}{ab})$$

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Question 120

If x and y are positive real numbers and xy = 8, then the minimum value of 2x + y is

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