SSC CGL 3rd March 2020 Shift-2

Instructions

For the following questions answer them individually

Question 61

PQRS is a cyclic quadrilateral in which PQ = x cm, QR= 16.8 cm, RS = 14 cm, PS = 25.2 cm, and PR bisects QS. What is the value of x ?

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Question 62

If $$\frac{\sec \theta - \tan \theta}{\sec \theta + \tan \theta} = \frac{3}{5}$$, then the value of $$\frac{\cosec \theta + \cot \theta}{\cosec \theta - \cot \theta}$$ is:

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Question 63

The given table represents the number of engineers recruited by four companies A, B, C and D over the years. Study the table carefully and answer the question that follows.


The total number of engineers recruited by company A in 2014 to 2017 is what percentage more than the total number of engineers recruited by all four companies in 2019?

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Question 64

If x is the mean proportional between 12.8 and 64.8 and y is the third proportional to 38.4 and 57.6, then 2x : y is equal to:

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Question 65

The average of the first four numbers is three times the fifth number. If the average of all the five numbers is 85.8, then the fifth number is:

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Question 66

Quadrilateral ABCD circumscribes circle. If AB = 8 cm, BC = 7 cm and CD = 6 cm,then the length of AD is:

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Question 67

The expression $$(a + b - c)^3 + (a - b + c)^3 - 8a^3$$is equal to:

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Question 68

If $$x^4 + x^2y^2 + y^4 = 21$$ and $$x^2 + xy + y^2 = 7$$, then the value of $$\left(\frac{1}{x^2} + \frac{1}{y^2}\right)$$ is:

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Question 69

The given table represents the number of engineers recruited by four companies A, B, C and D over the years. Study the table carefully and answer the question that follows.


The total number of engineers recruited by company B in 2014 and 2017 is what percentage of the total number of engineers recruited by C during 2015 to 2019?

Video Solution

Question 70

The value of the expression $$\cosec(85^\circ + \theta) - \sec(5^\circ - \theta) - \tan(55^\circ + \theta) + \cot(35^\circ - \theta)$$ is:

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