SSC CGL 7th Dec 2022 Shift-3

Instructions

For the following questions answer them individually

Question 61

Find the fourth proportional to the numbers 24, 192 and 27.

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Question 62

The following bar graph shows the sales of books (in thousands) from six branches of a publishing company during two consecutive years 2018 and 2019.


What is the average sales of all the branches (in thousands) for the year 2018?

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Question 63

The below bar graph represents the number of students who qualified 1n the GATE exam. the GATE exam, the CAT exam and those who qualified in none of these exams. (Given that there are no students who passed two or more exams.)


The percentage of students who qualified in at least one of the three exams 1n 2015 was:

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Question 64

The pie chart given below shows the number of television sold by 8 different companies. The total number of television sold by all these 8 companies is 21000. The number of television sold by a particular company is shown as a percent of total number of television sold by all these 8 companies.


J1 = The value of average number of television sold by P and W.
J2 = The value of average number of television sold by Q, R, S and V.
What is the value of (J2 - J1)?

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Question 65

The length of the altitude of an equilateral triangle is $$6\sqrt{3}$$ m. The perimeter of the equilateral triangle (in m) is:

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Question 66

$$\cos(30^{\circ} + \theta) - \sin(60^{\circ} - \theta)$$ = ____________.

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Question 67

A starts from a point at a speed of 34 m/s. After 5 seconds, B starts chasing A from the same point at a speed of 44 m/s. What will be the distance travelled by B before A is caught by B?

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Question 68

The average of the first 7 non-zero multiples of 17 is:

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Question 69

Find the value of the following expression.
$$5\left(\sin^{4} \theta + \cos^{4}\theta\right) + 3 \left(\sin^{6} \theta + \cos^{6} \theta\right) + 19\sin^{2} \theta\cos^{2} \theta$$

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Question 70

What is the total surface area of a cone, if the slant height and radius of a cone is 30 cm and 14 cm, respectively?

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