SSC CGL 24th August 2021 Shift-1

Instructions

For the following questions answer them individually

SSC CGL 24th August 2021 Shift-1 - Question 61


In $$\triangle$$ABC, right angled at B, if cot A = $$\frac{1}{2}$$, then the value of $$\frac{\sin A(\cos C + \cos A)}{\cos C(\sin C - \sin A)}$$ is

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SSC CGL 24th August 2021 Shift-1 - Question 62


The area of a table top in the shape of an equilateral triangle is $$9\sqrt{3}$$ cm$$^2$$. What is the length (in cm) of each side of the table?

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SSC CGL 24th August 2021 Shift-1 - Question 63


Study the following table and answer the question:
Number of students Appeared (A) and Passed (P) in an annual examination from four schools Q, R, S & T in five years (2014 to 2018)

The difference between the average number of students passed from school R in 2015 to 2017 and the number of students passed from school Q in 2015 is x. The value of x lies between:

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SSC CGL 24th August 2021 Shift-1 - Question 64


Table shows the number of trees planted in 4 cities from 2016 to 2020.

What is the total number of trees planted in Chandigarh in 2017 and in Kolkata in 2020?

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SSC CGL 24th August 2021 Shift-1 - Question 65


The vertices of a $$\triangle ABC$$ lie on a circle with centre O. AO is produced to meetthe circle at the point P. D is a point on BC such that $$AD \perp BC$$. If $$\angle B = 68^\circ$$ and $$\angle C = 52^\circ$$, then the measure of $$\angle DAP$$ is:

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SSC CGL 24th August 2021 Shift-1 - Question 66


A can complete a work in $$11\frac{1}{2}$$ days. B is 25% more efficient than A and C is 50% less efficient than B. Working together A, B and C will complete the same work

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SSC CGL 24th August 2021 Shift-1 - Question 67


The average of 23 numbers is 51. The average of first 12 numbers is 49 and the average of last 12 numbers is 54. If the twelfth number is removed, then the average of the remaining numbers (correct to two decimal places) is:

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SSC CGL 24th August 2021 Shift-1 - Question 68


The total number of students in a school is 1400, out of which 35% of the students are girls and the rest are boys. If 80% of the boys and 90% of the girls passed in an annual examination, then the percentage of the students who failed is:

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SSC CGL 24th August 2021 Shift-1 - Question 69


If $$x + \frac{1}{x} = 7$$, then $$x^2 + \frac{1}{x^2}$$ is equal to:

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SSC CGL 24th August 2021 Shift-1 - Question 70


In a triangle ABC, length of the side AC is 4 cm more than 2 times the length of the side AB. Length of the side BC is 4 cm less than the three times the length of the side AB. If the perimeter of $$\triangle$$ABC is 60 cm, then its area (in cm$$^2$$) is:

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