2016 SSC CGL 28 Aug Morning Shift

Instructions

For the following questions answer them individually

Question 61

The mid points of AB and AC of a triangle ABC are respectively X & Y. If BC + XY = 12 units, then the value of BC - XY is:

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Question 62

Which of the following relations is correct for $$0<\theta<90^{\circ}$$

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Question 63

The difference between two numbers is 9 and the difference between their squares is 207. The numbers are

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Question 64

The average of 20 numbers is calculated as 35. It is discovered later on that while calculating the average, one number, namely 85, was read as 45. The correct average is

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Question 65

If $$x^2-xy+y^2=2$$ and $$x^4+x^2y^2+y^4=6$$, then the value of $$x^2 + xy + y^2$$ is:

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Question 66

If $$a^2 + 13b^2 + c^2 - 4ab - 6bc = 0$$, then a:b:c is

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Question 67

The circum-centre of a triangle ABC is O. If ∠BAC = 85o, ∠BCA = 75o, then ∠OAC is of

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Question 68

Radius of the in-circle of an equilateral ΔABC of sides $$2\sqrt3$$ units is x cm. The value of x is

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Question 69

If $$tan3\theta\times tan7\theta=1$$, then the value of $$tan(\theta+36^{\circ})$$ is

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Question 70

If the angle of elevation of a cloud from a point 200 m above a lake is 30° and the angle of depression of its reflection in the lake is 60°. Then the height of the cloud above the lake is

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