SSC CHSL 12th August 2021 Shift-1

What is the compound interest(₹) on a sum of ₹46,000 for $$2\frac{2}{5}$$ years at 15% per annum, interest being compounded annually (nearst to a ₹)?

If $$\sqrt{x} + \frac{1}{\sqrt{x}} = 2\sqrt{3}$$, then what will be the value of $$x^4 + \frac{1}{x^4} ?$$

If $$3x - 2y + 3 = 0$$, then what will be the value of $$27x^3 + 54xy + 30 - 8y^3$$?

Chords AB and CD of a circle meet at point P (outside the circle), when produced. If AB = 9cm, PB = $$\frac{1}{3}$$AB and CD = 5 cm, then the length of PD (in cm) is:

By selling an article for ₹3,150, a shopkeeper earns 5% profit. For how much money should he sell the article in order to gain 8%?

Given that $$3\sqrt{3} x^3 - 8y^3 = (\sqrt{3}x + Ay)(3x^2 + By^2 + Cxy)$$, the value of $$(A^2 + B^2 - C^2)$$ is:

A solid metallic sphere of radius 12 cm is melted and recast in the form of small spheres of radius 2 cm. How many small spheres are formed?

A tap can fill a tank in 4 hours. Another tap can fill the same tank in 6 hours. If both the taps are opened at the same time, then in how much time will the empty tank be filled completely?

If $$\tan 30 \theta = \sin 45^\circ. \cos 45^\circ + \cos 60^\circ$$ and $$3 \theta$$ is an acute angle, then what will be the value of $$\sin 4\theta$$?

A boat can go 15 km downstream and 8 km upstream in 2h. It can go 20 km downstream and 12 km upstream in 2h 50 min. What is the speed (in km/h of the boat while going downstream?