SSC CGL Tier-2 18-February-2018 Maths

In the given figure. $$PQ$$ is a diameter of the semicircle $$PABQ$$ and $$O$$ is its center. $$\angle AOB = 64^\circ$$. $$BP$$ cuts $$AQ$$ at $$X$$. What is the value (in degrees) of $$\angle AXP$$?

In the given figure. $$E$$ and $$F$$ are the centers of two identical circles. What is the ratio of area of triangle $$AOB$$ to the area of triangle $$DOC$$?

In the given figure, in a right angle triangle $$ABC, AB = 12 cm$$ and $$AC = 15 cm$$. A square is inscribed in the triangle. One of the vertices of square coincides with the vertex of triangle. What is the maximum possible area (in $$cm^2$$) of the square?

In the given figure, $$PQRS$$ is a square of side 8 cm. $$\angle PQO = 60$$°. What is the area (in $$cm^2$$) of the triangle $$POQ$$?

In the given figure. two squares of sides 8 cm and 20 cm are given. What is the area (in $$cm^2$$) of the shaded part?

The area of a regular hexagon is equal to the area of the square. What is the ratio of the perimeter of the regular hexagon to the perimeter of square?

In the given figure, $$ABCDEF$$ is a regular hexagon of side 12 cm. $$P, Q$$ and $$R$$ are the mid points of the sides $$AB, CD$$ and $$EF$$ respectively. What is the area (in $$cm^2$$) of triangle $$PQR$$?

A man is running at the speed of 20 km/hr. What is time (in seconds) taken by man to cover one round of a circular garden of radius 350 metres?

In the given figure, four identical semicircles are drawn in a quadrant. XA = 7 cm. What is the area (in $$cm^2$$) of shaded region? 

A regular hexagonal base prism has height 8 cm and side of base is 4 cm. What is the total surface area (in $$cm^2$$) of the prism?