2016 SSC CGL 10 Sep Evening Shift

Instructions

For the following questions answer them individually

Question 61

If α + β = 90° and α:β = 2:1, then the ratio of cosα to cosβ is

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Question 62

The least number to be added to 13851 to get a number which is divisible by 87 is

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Question 63

Two numbers are in the ratio 3:5. If 6 is added to both of them, the ratio becomes 2:3. The numbers are

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Question 64

The average weight of 10 parcels is 1.7 kg. Addition of another new parcel reduces the average weight by 60 gram. What is the weight , in kg, of the new parcel?

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Question 65

If x=999 y=1000, z=1001, then the value of $$\frac{x^{3}+y^{3}+z^3-3xyz}{x-y+z}$$ is

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Question 66

$$\frac{a}{1-2a}+\frac{b}{1-2b}+\frac{c}{1-2c}=\frac{1}{2}$$ then the value $$\frac{1}{1-2a}+\frac{1}{1-2b}+\frac{1}{1-2c}$$ is 

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Question 67

In an isosceles triangle ΔABC, AB = AC and ∠A = 80°. The bisector of ∠B and ∠C meet at D. The ∠BDC is equal to

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Question 68

The length of a chord which is at a distance of 12 cm from the centre of a circle of radius 13 cm is

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Question 69

If Ɵ is positive acute angle and $$7cos^{2}$$Ɵ + 3 $$sin^{2}$$ Ɵ = 4, then the value of θ is

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Question 70

Radius of cross section of a solid right circular cylindrical rod is 3.2 dm. The rod is melted and 44 equal solid cubes of side 8 cm are formed. The length of the rod is (Take Π = 22/7)

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