SSC CGL Tier-2 19-February-2018 Maths

In the given figure, $$O$$ is the centre of the circle and $$\angle QOR = 50^\circ$$, then what is the value of $$\angle RPQ$$ (in degrees)?

Three circle $$C_1, C_2$$ and $$C_3$$ with radii $$r_1, r_2$$ and $$r_3$$ (where $$r_1 < r_2 < r_3$$) are placed as shown in the given figure. What is the value of $$r_2$$?

An equilateral triangle of area 300 $$cm^2$$ is cut from its three vertices to form a regular hexagon. Area of hexagon is what percent of the area of triangle?

In the given figure, $$PQR$$ is an equilateral triangle with side as 12 $$cm$$. $$S$$ and $$T$$ are the mid points of the sides $$PQ$$ and $$PR$$ respectively. What is the area (in $$cm^2$$) of the shaded region?

ABCD is a rectangle. P is a point on the side AB as shown in the given figure. If DP = 13, CP = 10 and BP = 6, then what is the value of AP ?

In the given figure, $$PQRSTU$$ is a regular hexagon of side 12 cm. what is the area (in $$cm^2$$) of triangle $$SQU$$?

In the given figure. $$ABCD$$ is a square, $$BCXYZ$$ is a regular pentagon and $$ABE$$ is an equilateral triangle. What is the value (in degrees) of $$\angle EBZ$$?

In the given figure, 3 semicircles are drawn on three sides of triangle ABC. AB = 21 cm, BC = 28 cm and AC = 35 cm. What is the area (in $$cm^2$$) of the shaded part?

The sum of radii of the two circles is 91 cm and the difference between their area is 2002 $$cm^2$$. What is the radius (in $$cm$$) of the larger circle?

A right triangular prism has equilateral triangle as its base. Side of the triangle is 15 cm. Height of the prism is $$20\surd3$$ cm. What is the volume (in $$cm^3$$) of the prism?