SSC CGL 10 June 2019 Shift-3

Instructions

For the following questions answer them individually

SSC CGL 10 June 2019 Shift-3 - Question 51


If $$x + \frac{1}{x} = \sqrt5$$. then $$x^3 + \frac{1}{x^3}$$ is equal to:

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SSC CGL 10 June 2019 Shift-3 - Question 52


Ina circle with centre O, AB is a diameter and CD is a chord such that ABCD is a trapezium. If $$\angle$$BAC = $$15^\circ$$, then $$\angle$$CAD is equal to:

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SSC CGL 10 June 2019 Shift-3 - Question 53


If a : b = 4 : 5, then (2a + 3b) : (3a + 2b)is equal to:

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SSC CGL 10 June 2019 Shift-3 - Question 54


The price of sugar is increased by 18%. A person wants to increase the expenditure by 12% only. By what percent, correct to one decimalplace, should he decrease his consumption?

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SSC CGL 10 June 2019 Shift-3 - Question 55


If a + b + c = 11 and ab + bc + ca = 38, then $$a^3 + b^3 + c^3 - 3abc$$ is equal to:

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SSC CGL 10 June 2019 Shift-3 - Question 56


The average marks of 50 students in a class was found to be 64. If the marks of two students were incorrectly entered as 38 and 42 instead of 83 and 24, respectively, then what is the correct average?

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SSC CGL 10 June 2019 Shift-3 - Question 57


A train without stop page travels with an average speed of 70km/h, and with stoppage,it travels with the average speed of 56km/h. How many minutes, does the train stop on an average per hour?

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SSC CGL 10 June 2019 Shift-3 - Question 58


Two articles are sold for ₹10,384 each. On one,the seller gains 18% and onthe other, he loses 12%. Whatis his overall gain or loss?

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SSC CGL 10 June 2019 Shift-3 - Question 59


The table below shows the percentage of students and the ratio of boys and girls in different colleges. Total students = 1800

What is the ratio of boys and girls in the colleges A and B taken together?

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SSC CGL 10 June 2019 Shift-3 - Question 60


The value of $$\sin^2 60^\circ - \cos^2 45^\circ + \sec 60^\circ + \cos^2 40^\circ + \cos^2 50^\circ$$ is equal to:

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