2016 SSC CGL 03 Sep Morning Shift

Instructions

For the following questions answer them individually

Question 61

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

Video Solution

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

Video Solution

Question 63

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

Video Solution

Question 64

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

Video Solution

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

Video Solution

Question 66

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

Video Solution

Question 67

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

Video Solution

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:

Video Solution

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

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

Video Solution

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2016 SSC CGL 03 Sep Morning Shift

2016 SSC CGL 03 Sep Morning Shift

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

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

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

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

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

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

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

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:

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?

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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