SSC CGL Tier-2 11th September 2019 Maths

A train travelling at the speed of x km/h crossed a 200 m long platform in 30 seconds and overtook a man walking in the same direction at the speed of 6 km/h in 20 seconds. What is the value of x ?

Let $$x = (633)^{24} - (277)^{38} + (266)^{54}$$. What is the units digit of x ?

Three solid metallic spheres whose radii are 1 cm, X cm and 8 cm, are melted and recast into a single solid sphere of diameter 18 cm. The surface area (in $$cm^2$$) of the sphere with radius x cm is:

The value of $$\left(2\frac{6}{7}of4\frac{1}{5}\div\frac{2}{3}\right)\times1\frac{1}{9}\div\left(\frac{3}{4}\times2\frac{2}{3}of\frac{1}{2}\div\frac{1}{4}\right)$$ is:

An article is sold at a certain price. If it is sold at $$33\frac{1}{3}\%$$ of this price, there is a loss of $$33\frac{1}{3}\%$$ What is the percentage profit whenit is sold at 60% of the original selling price?

If $$a^3 + b^3 = 218$$ and $$a + b = 2$$, then the value of $$ab$$ is:

In $$\triangle ABC, \angle A = 58^\circ$$. If I is the in center of the triangle, then the measure of $$\angle BIC$$ is:

If $$2\sqrt{2}x^3-3\sqrt{3}y^3=\left(\sqrt{2}x-\sqrt{3}y\right)\left(Ax^2+By^2+Cxy\right)$$, then the value of $$A^2 + B^2 - C^2$$ is:

A circle is inscribed in $$\triangle ABC$$ , touching AB, BC and AC at the points P, Q and respectively. If AB - BC = 4 cm, AB - AC = 2 cm and the perimeter of $$\triangle ABC$$ = 32 cm, then PB + AR is equal to:

If each interior angle of a regular polygon is $$\left(128\frac{4}{7}\right)^\circ$$ , then what is the sum of the number of its diagonals and the number of its sides?