2016 SSC CGL 04 Sep Morning Shift

Instructions

For the following questions answer them individually

Question 61

A point P lying inside a triangle is equidistant from the vertices of the triangle. Then the triangle has P as its

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Question 62

If sinθ + cosθ = 1, then the sinθ cosθ is equal to

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Question 63

If 7 times the seventh term of an Arithmetic Progression (AP) is equal to 11 times its eleventh term, then the 18th term of the AP will be

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Question 64

The average age of eight teachers in a school is 40 years. A teacher among them died at the age of 55 years whereas another teacher whose age was 39 years joins them. The average age of the teachers in the school now is (in years)

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Question 65

If $$\frac{a^2}{b+c}=\frac{b^2}{c+a}=\frac{c^2}{a+b}=1$$ then find the value of $$\frac{2}{1+a}+\frac{2}{1+b}+\frac{2}{1+c}$$

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Question 66

If $$2x+\frac{2}{x}=3$$ than the value of $$x^{3}+\frac{1}{x^{3}}+2$$ is

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Question 67

Two equal circles of radius 3 cm each and distance between their centres is 10 cm. The length of one of their transverse common tangent is

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Question 68

In △ABC if the median AD=1/2 BC then $$\angle$$ BAC is 

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Question 69

If $$\frac{\sin\theta+\cos\theta}{\sin\theta-\cos\theta}=3$$ then the value of $$\sin^4\theta-\cos^4\theta$$ is 

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Question 70

A sphere has the same curved surface area as a cone of vertical height 40 cm and radius 30 cm. The radius of the sphere is

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