2016 SSC CGL 03 Sep Morning Shift

Instructions

For the following questions answer them individually

2016 SSC CGL 03 Sep Morning Shift - Question 61


If $$x^2+y^2+z^2 = 14$$ and xy + yz + zx = 11, then the value of $$(x+y+z)^2$$ is

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2016 SSC CGL 03 Sep Morning Shift - Question 62


If $${\sqrt{6}}tan\theta=\sqrt{2}$$ and $$0^\circ<\theta<45^\circ$$, then the value of $$sin\theta+\sqrt{3}cos\theta-2tan^2\theta$$ is

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2016 SSC CGL 03 Sep Morning Shift - Question 63


A positive number when decreased by 4, is equal to 21 times the reciprocal of this number. The number is:

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2016 SSC CGL 03 Sep Morning Shift - Question 64


If $$tan \alpha=2$$, then the value of $$\frac{sin\alpha}{sin^3\alpha+cos^3\alpha}$$ is

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2016 SSC CGL 03 Sep Morning Shift - Question 65


If $$x=\sqrt[3]{28},y=\sqrt[3]{27}$$, then the value of $$x+y-\frac{1}{x^2+xy+y^2}$$ is

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2016 SSC CGL 03 Sep Morning Shift - Question 66


If x=12 and y=4, then the value of $$(x+y)^\frac{x}{y}$$ is

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2016 SSC CGL 03 Sep Morning Shift - Question 67


In a triangle PQR, PQ = PR and ∠Q is twice that of ∠P. Then ∠Q is equal to

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2016 SSC CGL 03 Sep Morning Shift - Question 68


If the length of a chord of a circle is 16 cm and is at a distance of 15 cm from the centre of the circle, then the radius of the circle (in cm) is:

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2016 SSC CGL 03 Sep Morning Shift - Question 69


On 24th May 2008 the maximum temperature of Delhi, Kolkata and Mumbai were recorded as 35°C, 33°C and 34°C respectively. What was the maximum temperature of Chennai so that the average maximum temperature of those cities would be 35°C?

Video Solution

2016 SSC CGL 03 Sep Morning Shift - Question 70


The diameter of a sphere is twice the diameter of another sphere. The curved surface area of the first and the volume of the second are numerically equal. The numerical value of the radius of the first sphere is

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