2016 SSC CGL 27 Aug Morning Shift

Instructions

For the following questions answer them individually

Question 61

O is the circumcentre of ΔABC. If AO = 8 cm, then the length of BO is

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Question 62

Given that $$tan(\theta+15^{\circ})=\sqrt3$$. Then the value of θ is?

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Question 63

The least number of square tiles of side 41 cms required to pave the ceiling of a room of size 15m 17cm long and 9m 2 cm broad is:

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Question 64

The average of fruits offered in a temple in a week was 75. The average of fruits offered in six days excluding Tuesday was 72. How many fruits were offered on Tuesday?

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Question 65

If $$a=x^\frac{1}{3}y^\frac{1}{3}+x^\frac{-1}{3}y^\frac{-1}{3}$$, then $$a^3-3ay-x$$ is

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Question 66

If $$x+\frac{1}{x}=5$$, then the value of $$\frac{6x}{x^2+x+1}$$ is

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Question 67

If a > b > 0, AB = a - b cm, BC = $$2\sqrt{ab}$$ cm AC=a+b, then ∠ABC is

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Question 68

PR is a tangent to a circle with centre O and radius 4 cm at point Q. If ∠POR = 90°, OR = 5 cm and OP = 20/3 cm, then the length of PR is:

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Question 69

From a point, 40 m apart from the foot of a tower, the angle of elevation of its top is 60°. The height of the tower is

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Question 70

The radius of a sphere and hemisphere are same. The ratio of their total surface area is

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