SSC CHSL Quantitative Aptitude Test 44

Instructions

For the following questions answer them individually

Q 1

What is the HCF of $$\frac{4}{5}, \frac{6}{8}, \frac{8}{25} ?$$

Q 2

In $$\triangle ABC, \angle C = 90^\circ$$ and $$D$$ is a point on $$CB$$ such that $$AD$$ is the bisector of $$\angle A$$. If $$AC = 5 cm$$ and $$BC = 12cm$$, then what is the length of $$AD$$?

Q 3

From a point 12 m above the water level, the angle of elevation of the top of a hill is $$60^\circ$$ and the angle of depression of the base of the hill is $$30^\circ$$. What is the height (in m)of the hill?

Q 4

If $$x^2 - 2\sqrt{5}x + 1 = 0$$, then what is the value of $$x^5 + \frac{1}{x^5}$$?

Q 5

The value of $$\frac{(\cos 9^\circ + \sin 81^\circ)(\sec 9^\circ + \cosec 81^\circ)}{2 \sin^2 63^\circ + 1 + 2 \sin^2 27^\circ}$$ is:

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