SSC CGL 12 June 2019 Shift-3

Instructions

For the following questions answer them individually

Question 61

The value of: $$108 \div 36 \times 4 + 2.5 \times 4 \div 0.5 - 10$$

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Question 62

$$\triangle$$ABC $$\sim$$ $$\triangle$$EDF and ar($$\triangle$$ABC) : ar($$\triangle$$DEF) = 4 : 9. If AB = 6 cm, BC = 8 cm and AC = 10 cm,then DF is equal to:

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Question 63

This table shows the percentage of students passing out of five different colleges over three years. It is given that from each college, 200 students appeared every year.

What is the approximate percentage increase in the number of students passing out of college B in the year 2017 as compared to the previous year?

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Question 64

If $$12 \sin \theta = 5 \cos \theta,  then  \sin \theta + \cos \theta - \cot \theta$$ is equal to:

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Question 65

A sphere of radius 4 cm is melted and recast into smaller spheres of radii 2 cm each. How many such spheres can be made?

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Question 66

If $$\sqrt x - \frac{1}{\sqrt x} = 3\sqrt2,  then  x^2 + \frac{1}{x^2}$$ is equal to:

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Question 67

Walking at $$\frac{3}{5}$$ of his usual speed, a person reaches his office 20 minutes late than the usual time. His usual time in minutes is:

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Question 68

In a class of 40 students, 60% are girls. The average of the girls’ marks is 72 and that of the boys is 54. What are the average marks of the whole class?

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Question 69

$$\sec^2 29^\circ - \cot^2 61^\circ + \sin^2 60^\circ + \cosec^2 30^\circ$$ is equal to:

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Question 70

The efficiencies of A, B and C are in the ratio 2 : 5 : 3. Working together, they can compete a task in 9 days. In how many days will C alone complete 40% ofthat task?

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