SSC CHSL 4 July 2019 Shift-3

Instructions

For the following questions answer them individually

Question 51

A number is decreased by 30%, then increased by 30%, then further decreased by 10%. What is the net increase/decrease percent in the number(correct to the nearest integer)?

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Question 52

What is the area of a rhombus(in cm$$^2$$) whose side is 13 cm and the smaller diagonal is 10 cm ?

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Question 53

In a $$\triangle$$ABC, the bisectors of $$\angle$$B and $$\angle$$C meet at point O with in the triangle. If $$\angle$$BOC is given, then which among the given options is true ?

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Question 54

If $$x^4 + x^{-4} = 1442, (x > 0)$$ then the value of $$x - x^{-1}$$ is:

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Question 55

Three numbers are in the ratio $$\frac{1}{2} : \frac{2}{3} : \frac{3}{4}$$. The difference between the greatest and the smallest number is 27. The smallest number is:

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Question 56

If $$a^2 + b^2 = 99  and  ab = 11, (a > 0, b > 0)$$ then the value of $$(a^3 + b^3)$$ is:

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Instructions

The given Bar Graph presents the Imports and Exports of an item (in tonnes) manufactured by a company for the five financial years, 2013-2014 to 2017-2018.

Question 57

In which financial year the absolute difference between the Exports and the Importsis the highest?

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Question 58

What is the average of Import (in tonnes) during the five financial years?

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Instructions

For the following questions answer them individually

Question 59

If $$2 \sin^2 \theta + 5 \cos \theta - 4 = 0, 0^\circ < \theta < 90^\circ$$, then the value of $$\tan \theta + \sin \theta$$is:

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Question 60

If $$(3x - 7)^3 + (3x - 8)^3 + (3x + 6)^3 = 3 (3x - 7) (3x - 8) (3x + 6)$$, then what is the value of $$x$$ ?

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