SSC CGL 12th April 2022 Shift-2

Instructions

For the following questions answer them individually

Question 61

What is the average of all the prime numbers between 70 and 90?

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Question 62

In $$\triangle$$ ABC , $$\angle A= 88^{\circ}$$. If I is the incentre of the triangle, then the measure of $$\angle$$ BIC is:

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Question 63

If $$a^{2} + b^{2} + 49c^{2} + 18 = 2\left(b - 28c - a\right)$$ then the value of $$\left(a + b - 7c\right)$$ is:

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Question 64

The breakup of the total number of employees of a company working in different offices ( A to E). in degrees, is given in the pie chart.
Total number of employees = 2400.

In which office is the number of employees 600?

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Question 65

The value of $$\sqrt{\frac{\cot\theta+\cos\theta}{\cot\theta-\cos\theta}}, 0^{\circ} < \theta < 90^{\circ}$$, is equal to:

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Question 66

If the volume of a sphere is equal to that of a cylinder having the same radius, then find the ratio of the radius to the height of the cylinder.

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Question 67

The value of $$\left(\frac{1-\cot\theta}{1-\tan\theta}\right)^{2} - 1$$ When $$0^{\circ} < \theta < 90^{\circ}$$, is equal to:

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Question 68

Sides AB and AC of $$\triangle$$ ABC are produced to points D and E, respectively. The bisectors of $$\angle$$ CBD and $$\angle$$ BCE meet at P.
If $$\angle A = 78^{\circ}$$, then the measure of $$\angle$$P is:

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Question 69

A and B started their journeys from X to Y and Y to X, respectively. After crossing each other, A and B completed remaining parts of their journeys in $$6\frac{1}{8}$$ hours and 8 hours, respectively. If the speed of A is 32 km/h, then the speed, in km/h, of B is:

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Question 70

The following bar chart shows the number of students enrolled in two Summer Camps A and B from 2014 to 2019.
Study the chart carefully and answer the question that follows.

The number of students enrolled in Camp A in 2016 and 2019 together is what percentage of the number of students enrolled in Camp B in 2015 and 2017 together?

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