SSC CGL 5th March 2020 Shift-2

Instructions

For the following questions answer them individually

Question 61

A boat can go 3.6 km upstream and 5.4 km downstream in 54 minutes, while it can go 5.4 km upstream and 3.6 km downstream in 58.5 minutes. The time (in minutes) taken by the boat in going 10 km downstream is:

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Question 62

If $$5 \cos \theta - 12 \sin \theta = 0$$, then what is the value of $$\frac{1 + \sin \theta + \cos \theta}{1 - \sin \theta + \cos \theta}$$

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Question 63

The given table represents the sale (in thousands) of cars by four companies A, B, C and D in six years. Study the table and answer the question that follows.


The total number of cars sold by companies A in 2017 and C in 2013 is what percentage of the total number of cars sold by all four companies in 2013 and 2016? (correct to one decimal place)

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Question 64

If $$11 \sin^{2} \theta - \cos^{2} \theta + 4 \sin \theta - 4 = 0, 0^\circ < \theta < 90^\circ$$, then what is the value of $$\frac{\cos 2\theta + \cot 2 \theta}{\sec 2 \theta - \tan 2 \theta}$$

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Question 65

If the radius ofa right circular cylinder is decreased by 10%, and the heightis increased by 20%, then the percentage increase/decreasein its volumeis:

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Question 66

ABCD is a cyclic quadrilateral which sides AD and BC are produced to meet at P, and sides DC and AB meet at Q when produced. If $$\angle A = 60^\circ$$ and $$\angle ABC = 72^\circ$$, then \angle PDC - $$\angle DPC =$$

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Question 67

The given table represents the sale (in thousands) of cars by four companies A, B, C and D in six years. Study the table and answer the question that follows.

The Total number of cars sold by company C in 2018 exceeds the average number of cars sold by company A during 2014 to 2018 by:

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Question 68

A and B spend 60% and 75% of their incomes, respectively. If the savings of A are 20% more than that of B. then by what percentage is the income of A less than the income of B?

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Question 69

The given table represents the sale (in thousands) of cars by four companies A, B, C and in six years. Study the table and answer the question that follows.


The total number of cars sold by company B during 2015, 2017 and 2018 is what percentage less than the total number of cars sold by company C in 2013, 2015, 2017 and 2018?

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Question 70

To complete a certain task, X is 40 % more efficient than Y, and Z is 40% less efficient than Y. Working together, they can complete the task in 21 days. Y and Z together worked for 35 days. The remaining work will be completed by X alone in:

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