SSC CGL 11 June 2019 Shift-1

Instructions

For the following questions answer them individually

SSC CGL 11 June 2019 Shift-1 - Question 61


The price of sugar is increased by 22 % . A person wants to increase his expenditure by 12% only. By what percent should he decrease his consumption, nearest to one decimal place?

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SSC CGL 11 June 2019 Shift-1 - Question 62


If $$\sqrt x + \frac{1}{\sqrt x} = \sqrt6$$, then $$x^2 + \frac{1}{x^2}$$ is equal to:

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SSC CGL 11 June 2019 Shift-1 - Question 63


An article is sold for ₹ 657.90 after successive discounts of 15 % and 10%. What is the marked price of the article?

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SSC CGL 11 June 2019 Shift-1 - Question 64


The value of $$\sec^2 28^\circ - \cot^2 62^\circ + \sin^2 60^\circ + \cosec^2 30^\circ$$ is equal to:

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SSC CGL 11 June 2019 Shift-1 - Question 65


The following table indicates the number of students studying in three disciplines in five colleges:

What is the ratio of the total number of students studying in the science stream to that of studying in commerce stream in all five colleges taken together?

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SSC CGL 11 June 2019 Shift-1 - Question 66


The radii of two circular faces of the frustum of a cone of height 21 cm are 3 cm and 2 cm respectively. What is the volume of the frustum of the cone in cm$$^3$$ ($$\pi = \frac{22}{7}$$)?

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SSC CGL 11 June 2019 Shift-1 - Question 67


In $$\triangle$$ABC, AD is a median and P is a point on AD such that AP : PD =3 : 4. Then ar($$\triangle$$APB) : ar($$\triangle$$ABC) is equal to:

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SSC CGL 11 June 2019 Shift-1 - Question 68


In a circle with centre O, AB is the diameter and CD is a chord such that ABCD is a trapezium. If $$\angle$$BAC = $$25^\circ$$, then $$\angle$$CAD is equal to:

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SSC CGL 11 June 2019 Shift-1 - Question 69


If $$\cot \theta = \frac{3}{4},  then  \sin \theta + \cos \theta - \tan \theta$$ is equal to:

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SSC CGL 11 June 2019 Shift-1 - Question 70


If a + b = 5 and ab = 3, then $$(a^3 + b^3)$$ is equal to:

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