SSC CGL Tier-2 21-February-2018 Maths

In the given figure, $$\angle QRU = 72^\circ$$, $$\angle TRS = 15^\circ$$ and $$\angle PSR = 95^\circ$$, then what is the value (in degrees) of $$\angle PQR$$?

What can be the maximum number of common tangent which can be drawn to two non-intersecting circles?

Triangle $$PQR$$ is inscribed in the circle whose radius is 14 cm. If $$PQ$$ is the diameter of the circle and $$PR = 10$$ cm, then what is the area of the triangle $$PQR$$?

$$PQR$$ is a right angled triangle in which $$PQ = QR$$. If the hypotenuse of the triangle is $$20 cm$$, then what is the area (in $$cm^2$$) of the triangle $$PQR$$?

$$PQRS$$ is a square whose side is $$20 cm$$. By joining opposite vertices of $$PQRS$$ are get four triangles. What is the sum of the perimeters of the four triangles?

If $$ABCDEF$$ is a regular hexagon, then what is the value (in degrees) of $$\angle AEB$$?

$$ABCD$$ is square and $$CDE$$ is an equilateral triangle outside the square. What is the value (in degrees) of $$\angle BEC$$?

There is a circular garden of radius 21 metres. A path of width 3.5 metres is constructed just outside the garden. What is the area (in metres$$^2$$) of the path?

In the given figure, $$PQRS$$ is a square whose side is $$8 cm$$. $$PQS$$ and $$QPR$$ are two quadrants. A circle is placed touching both the quadrants and the square as shown in the figure. What is the area (in $$cm^2$$) of the circle ? 

The base of a prism is in the shape of an equilateral triangle. If the perimeter of the base is $$18 cm$$ and the height of the prism is $$20 cm$$, then what is the volume (in $$cm^3$$) of the prism?