SSC CGL Tier-2 9-March-2018 Maths Shift-2

Instructions

For the following questions answer them individually

Question 31

O is the centre of the circle. A tangent is drawn which touches the circle at C. If $$\angle$$AOC = $$80^\circ$$, then what is the value (in degrees) of $$\angle$$BCX?

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Question 32

The distance between the centres of two circles is 24 cm. If the radius of the two circles are 4 cm and 8 cm, then what is the sum of the lengths (in cm) of the direct common tangent and the transverse common tangent?

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Question 33

ABC is triangle. AB = 10 cm and BC = 16 cm. AD = 8 cm and is perpendicular to side BC. What is the length (in cm) of side AC?

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Question 34

An equilateral triangle of side 12 cm is drawn. What is the area (in cm$$^2$$) of the largest square which can be drawn inside it?

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Question 35

PQRS is a rectangle. The ratio of the sides PQ and QR is 3 :1. If the length of the diagonal PR is 10 cm, then what is the area (in cm$$^2$$) of the rectangle?

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Question 36

ABCDEF is a regular hexagon. What is the ratio of the area of triangle ACE and area of triangle AEF?

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Question 37

$$ABCD$$ is a trapezium. Sides AB and $$CD$$ are parallel to each other. $$AB$$ = 6 cm, $$CD$$ = 18 cm, $$BC$$ = 8 cm and $$AD$$ = 12 cm. $$A$$ line parallel to $$AB$$ divides the trapezium in two parts of equal perimeter. This line cuts $$BC$$ at $$E$$ and $$AD$$ at $$F$$. If $$\frac{BE}{EC} = \frac{AF}{FD}$$, than what is the value of $$\frac{BE}{EC}$$?

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Question 38

A rectangular sheet of length 42 cm and breadth 14 cm is cut from a circular sheet. What is the minimum area (in cm$$^2$$) of circular sheet?

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Question 39

An equilateral triangle ABC is inscribed in a circle as shown in figure. A square of largest possible area is made inside this triangle as shown. Another circle made inscribing the square. What is the ratio of area of large circle and the small circle?

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Question 40

A prism has a regular hexagonal base whose side is 12 cm. The height of the prism is 24 cm. It is cut into 4 equal parts by 2 perpendicular cuts as shown in figure. What is the sum of the total surface area of the four parts ?

Video Solution
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