SSC CGL 10 June 2019 Shift-3

Instructions

For the following questions answer them individually

Question 51

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

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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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Question 53

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

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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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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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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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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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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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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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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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