SSC CGL 2014 Tier 1 20 July First Sitting

Instructions

For the following questions answer them individually

Question 111

If a+b+c=4√3 and $$a^{2} + b^{2} +c^{2}$$ = 16, then the ratio a : b : c is

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Question 112

If $$x+\frac{1}{x}=2$$ then the value of $$(x^2+\frac{1}{x^2})(x^3+\frac{1}{x^3})$$ is

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Question 113

If a, b, c be all positive integers, then the least positive value of $$a^{3} + b^{3} + c^{3} - 3abc$$ is

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Question 114

If a+b=1,c+d=1 and a-b= $$\frac{d}{c}$$ then the value of $$c^{2}-d^{2}$$ is

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Question 115

When f(x) = $$12x^{3} - 13x^{2} - 5x + 7$$ is divided by (3x + 2), then the remainder is

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Question 116

If $$x=3t, y=\frac{1}{2} (t+1)$$ then the value of t for which $$x=2y$$ is

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Question 117

If $$x^{2}+\frac{1}{5}x+a^{2}$$ is a perfect square then a is

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Question 118

In a cyclic quadrilateral ABCD m∠A + m∠B + m∠C + m∠D =?

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Question 119

In a right angled triangle, the circumcentre of the triangle lies

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Question 120

If two angles of a triangle are 21° and 38°, then the triangle is

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