SSC CGL Tier-2-17-February-2018 Maths

In the given figure, two identical circles of radius 4 cm touch each other. A and B are the centres of the two circles. If RQ is a tangent to the circle, then what is the length (in cm) of RQ?

The radius of two circles is 3 cm and 4 cm. The distance between the centres of the circles is 10 cm. What is the ratio of the length of direct common tangent to the length of the transverse common tangent?

$$ABC$$ is a triangle. $$AB = 5 cm$$, $$AC = \surd41 cm$$ and $$BC = 8 cm.$$ $$AD$$ is perpendicular to $$BC$$. What is the area (in $$cm^2$$) of triangle $$ABD$$?

In the given figure, PQR is a triangle and quadrilateral ABCD is inscribed in it. QD = 2 cm, QC = 5 cm, CR = 3 cm. BR = 4 cm. PB = 6 cm. PA = 5 cm and AD = 3 cm. What is the area (in $$cm^2$$) of the quadrilateral ABCD?

In the given figure, ABCD is a square of side 14 cm. E and F are mid points of sides AB and DC respectively. EPF is a semicircle whose diameter is EF. LMNO is a square. What is the area (in $$cm^2$$) of the shaded region?

In the given figure. $$ABCDEF$$ is a regular hexagon whose side is 6 cm. $$APF, QAB, DCR$$ and $$DES$$ are equilateral triangles. What is the area (in $$cm^2$$) of the shaded region?

Length and breadth of a rectangle are 8 cm and 6 cm respectively. The rectangle is cut on its four vertices such that the resulting figure is a regular octagon. What is the side (in cm) of the octagon?

In the given figure, radius of a circle is $$14\sqrt{2}cm.$$ PQRS is a square. EFGH, ABCD, WXYZ and LMNO are four identical squares. What is the total area (in $$cm^2$$) of all the small squares?

In the given figure, AB, AE, EF, FG and GB are semicircles. AB = 56 cm and AE = EF = FG = GB. What is the area (in $$cm^2$$) of the shaded region?

A right prism has a square base with side of base 4 cm and the height of prism is 9 cm. The prism is cut in three parts of equal heights by two planes parallel to its base. What is the ratio of the volume of the top, middle and the bottom part respectively?