SSC CGL 13th Dec 2022 Shift-4

Instructions

For the following questions answer them individually

SSC CGL 13th Dec 2022 Shift-4 - Question 61


In the given figure $$\angle ABC = 81^\circ$$ and $$\angle ACB = 9^\circ$$. What is the value of $$\angle BDC$$?

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SSC CGL 13th Dec 2022 Shift-4 - Question 62


If $$x = 2 - 2^{\frac{1}{3}} + 2^{\frac{2}{3}}$$, then find the value of $$x^3 - 6x^2 + 18x$$.

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SSC CGL 13th Dec 2022 Shift-4 - Question 63


If A is an acute angle, the simplified fonn of
$$\frac{\cos(\pi - A). \cot \left(\frac{\pi}{2} + A\right)\cos(-A)}{\tan(\pi + A)\tan \left(\frac{3 \pi}{2} + A\right)\sin(2 \pi - A)}$$ is:

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SSC CGL 13th Dec 2022 Shift-4 - Question 64


If $$a + b + c = 5, a^3 + b^3 + c^3 = 85$$ and abc = 25, then find the value of $$a^2 + b^2 + c^2 - ab - bc - ca$$.

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SSC CGL 13th Dec 2022 Shift-4 - Question 65


Find the area of the shaded portion of an equilateral triangle with sides 6 units shown in the following figure. A circle of radius 1 unit is centred at midpoint of a side of the triangle.

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SSC CGL 13th Dec 2022 Shift-4 - Question 66


The table given below shows the sales turnover of 5 different companies.

What is the difference between the sales turnover of company H and F?

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SSC CGL 13th Dec 2022 Shift-4 - Question 67


If a = - 12, b = - 6 and c = 18, then what is the value of $$\frac{(2abc)}{9}$$

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SSC CGL 13th Dec 2022 Shift-4 - Question 68


By selling an article for Rs.33,000 a man gains 10%. To get a profit of 20%, he has to sell it for:

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SSC CGL 13th Dec 2022 Shift-4 - Question 69


In nine innings of cricket, the average of a batsman is 58 runs. How many runs does he need to make in the tenth innings to get the average score 61?

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SSC CGL 13th Dec 2022 Shift-4 - Question 70


Find the mean proportional between 25 and 225.

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