SSC CGL 12th Dec 2022 Shift-1

Instructions

For the following questions answer them individually

SSC CGL 12th Dec 2022 Shift-1 - Question 61


Radius of a circle is 5 cm. Length of chord AB in this circle is 6 cm. What is the distance of this chord from the centre of the circle?

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SSC CGL 12th Dec 2022 Shift-1 - Question 62


If $$m + \frac{1}{m - 2} = 4$$, then find the value of $$(m - 2)^2 + \frac{1}{(m - 2)^2}$$.

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SSC CGL 12th Dec 2022 Shift-1 - Question 63


The ratio of the cost price and selling price of an article is 10 : 11. The gain per cent is:

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SSC CGL 12th Dec 2022 Shift-1 - Question 64


If $$\cosec \theta + \cot \theta = p$$, then the value of $$\frac{p^2 - 1}{p^2 + 1}$$ is:

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SSC CGL 12th Dec 2022 Shift-1 - Question 65


If $$\triangle ABC \sim \triangle EDF$$ such that AB = 6 cm, DF = 16 cm and DE = 8 cm, then the length of BC is:

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SSC CGL 12th Dec 2022 Shift-1 - Question 66


How many metres of 2-m-wide cloth will be required to make a conical tent with the diameter of the base as 14 m and slant height as 9 m ignore wastage?

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SSC CGL 12th Dec 2022 Shift-1 - Question 67


What is the value of the expression $$\cos 2A \cos 2B + \sin^2 (A - B) - \sin^2 (A + B)$$?

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SSC CGL 12th Dec 2022 Shift-1 - Question 68


The average of six numbers is 3.52. The average of two of them is 3.7, while the average of other two is 2.5. What is the average of the remaining two?

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SSC CGL 12th Dec 2022 Shift-1 - Question 69


If a = 26 and b = 22, then the value of $$\frac{a^3 - b^3}{a^2 - b^2} - \frac{3ab}{a + b}$$ is ..............

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SSC CGL 12th Dec 2022 Shift-1 - Question 70


In $$\triangle ABC, D$$ and $$E$$ are points on sides $$AB$$ and $$AC$$, such that $$DE \parallel BC$$. If $$AD = x + 3, DB = 2x − 3, AE = x + 1$$ and $$EC = 2x − 2$$, then the value of x is:

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