SSC CGL 2012 Tier 1 8 July NZ Evening II

Instructions

For the following questions answer them individually

Question 111

If $$tanθ = \frac{a}{b}$$, then $$\frac{a sin \theta + b cos \theta}{a sin \theta - b cos\theta}$$ is

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Question 112

The value of $$\frac{sin39^{\circ}}{cos51^{\circ}}$$ + $$2 tan11^{\circ} tan31^{\circ} tan45^{\circ} tan59^{\circ} tan79^{\circ}$$ - $$3(sin^{2}21^{\circ} + sin^{2}69^{\circ})$$ is

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Question 113

If x = 27 and $$\sqrt[3]{x} + \sqrt[3]{y} = \sqrt[3]{729}$$, the y =

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Question 114

The value of $$(\sqrt{5}+\sqrt{3})(\frac{3\sqrt{3}}{\sqrt{5}+\sqrt{2}} - \frac{\sqrt{5}}{\sqrt{3}+\sqrt{2}})$$ is

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Question 115

If $$\frac{3-5x}{x} + \frac{3-5y}{y} + \frac{3-5z}{z} = 0 $$, the value of $$\frac{1}{x} + \frac{1}{y} + \frac{1}{z}$$ is

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Question 116

If ab > 0 and the point (a, b) lies in the third quadrant, the quadrant in which the point (­5, - a) lies is

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Question 117

If $$x = \frac{\sqrt{5}-2}{\sqrt{5}+2}$$, then $$x^4 + x^{-4}$$ is

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Question 118

If $$ x + \frac{1}{x} = 3$$, the value of $$x^5 + \frac{1}{x^5}$$ is

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Question 119

ABC is a triangle with AC = BC and ∠ABC = 50°. The side BC is produced to D so that BC = CD. ∠BAD is

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Question 120

If a straight line L makes an angle θ (θ > 90°) with the positive direction of x­ axis, then the acute angle made by a straight line L 1 , perpendicular to L, with the y­axis is

Video Solution
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