2016 SSC CGL 31 Aug Morning Shift

Instructions

For the following questions answer them individually

Question 41

If $$(x+\frac{1}{x})^2=3$$, then the value of $$x^3+\frac{1}{x^3}$$ is

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Question 42

If a - b = 3 and $$a^2 + b^2 = 25$$, then the value of ab is

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Question 43

In ΔABC, ∠B = 70°and ∠C = 60°. The internal bisectors of the two smallest angles of ΔABC meet at O. The angle so formed at O is

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Question 44

If θ be positive acute angle and 5cosθ + 12sinθ = 13, then the value of cosθ is

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Question 45

A cylinderical container of 32 cm height and 18 cm radius is filled with sand. Now all this sand is used to form a conical heap of sand. If the height of the conical heap is 24 cm, what is the radius of its base?

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Question 46

The angle of elevation of the top of a pillar from the foot and the top of a building 20 m high, are 60° and 30° respectively. The height of the pillar is

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Instructions

The pie-chart shows the percentage of literate and illiterate male and female in a state. Study the diagram and answer the following questions.

Question 47

If the total number is 35000, then the difference between the numbers of literate male and literate female is

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Question 48

The difference of central angles corresponding to illiterate male and illiterate female is

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Question 49

If the difference between the two categories of people are represented by 36° in the diagram then these categories are

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Question 50

If two categories together have a central angle of 169.20,then these categories are

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