SSC CGL 6 June 2019 Shift-3

Instructions

For the following questions answer them individually

Question 61

The average of eleven numbers is 54. The average of the first four numbers is 48 and that of the next four numbers is 25% more than the average of the first four. The ninth number is 8 greater than the $$11^{th}$$ number and the tenth number is 4 greater than the $$11^{th}$$ number. What is the average  of the $$9^{th}$$ and the $$10^{th}$$ numbers?

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Question 62

PQRS is a cyclic quadrilateral. If angle P is three times the angle R and angle S is five times the angle Q,then the sum of the angles Q and R is:

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Question 63

Sudha saves 15% of her income. If her expenditure increases by 20% and savings increase by 60%, then by what percent has her income increased?

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Question 64

If a + b + c = 2, $$a^2 + b^2 + c^2 = 26$$, then the value of $$a^3 + b^3 + c^3 - 3 abc$$ is:

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Instructions

The table shows the production of different types of cars (in thousands).

Question 65

The total production of type B cars in 2015 and type C cars in 2013 is what percent more that the total production of type E cars in 2013 and 2014 ? (Correct to one decimal place)

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Question 66

If the data related to the production of type D cars is represented by a pie-chart, then the central angle of the sector representing the production of the cars in 2016 will be:

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Instructions

For the following questions answer them individually

Question 67

If a 10-digit number 2094x843y2 is divisible by 88, then the value of (5x—7y) for the largest possible value of x, is:

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Question 68

The table shows the production of different types of cars (in thousands).


The ratio of the total production of type A cars in 2017 and type D cars in 2015 to the total production of type B and type E cars in 2013 is:

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Question 69

If $$a + \frac{1}{a} = 3,  then   \left(a^4 + \frac{1}{a^4}\right)$$ is equal to:

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Question 70

If $$\frac{\cos \theta}{1 - \sin \theta} + \frac{\cos \theta}{1 + \sin \theta} = 4, 0^\circ < \theta < 90^\circ$$, then the value of $$(\tan \theta + \cosec \theta)$$ is:

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