Mechanical - UNIT - 6 - Mensuration - Area of Cut-Out Regular - MCQ

101)   

 If the perimeter of a square is equal to the perimeter of a circle, which one has the greater area?

A.
B.
C.
D.
Answer: B
102)   

A rectangular sheet of paper 44 cm by 28 cm is rolled to form a cylinder along its longer side. What is the volume of the cylinder? 

A.
B.
C.
D.
Answer: B
103)   

A regular hexagon is inscribed in a circle of radius rr. What is its area?

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B.
C.
D.
Answer: B
104)   

A ring has an outer radius of 14 cm and inner radius of 7 cm. What is the area of the ring?

A.
B.
C.
D.
Answer: C
105)   

 The area of an ellipse with semi-major axis 10 cm and semi-minor axis 6 cm is:

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B.
C.
D.
Answer: C
106)   

 If the sides of a triangle are 13 cm, 14 cm, and 15 cm, what is its area?

A.
B.
C.
D.
Answer: B
107)   

 A sector of a circle has radius 10 cm and central angle 72°. What is its area? 

A.
B.
C.
D.
Answer: A
108)   

 The perimeter of a rectangle is 60 cm and its area is 200 cm². What are its dimensions?

A.
B.
C.
D.
Answer: C
109)   

 A square and a circle have the same area. What is the ratio of the side of the square to the radius of the circle?

A.
B.
C.
D.
Answer: D
110)   

Find the TSA of a hollow cylinder with outer radius 10 cm, inner radius 6 cm, and height 20 cm. Both ends are closed. 

A.
B.
C.
D.
Answer: C
111)   

 A cube and a sphere have the same surface area. Which has greater volume? 

A.
B.
C.
D.
Answer: B
112)   

 A cylinder has height 10 cm and diameter 7 cm. What is its volume?

A.
B.
C.
D.
Answer: A
113)   

 Find the capacity in litres of a conical vessel of radius 14 cm and height 24 cm.

A.
B.
C.
D.
Answer: C
114)   

 A cylindrical tank has height 1.2 m and diameter 1.4 m. What is its capacity in litres? 

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B.
C.
D.
Answer: C
115)   

 A sphere is melted and recast into a cone with radius 6 cm and height 12 cm. Find the radius of the sphere.

A.
B.
C.
D.
Answer: B
116)   

 A cuboid has dimensions 12 cm × 10 cm × 5 cm. How many cubes of side 2 cm can be cut out of it? 

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B.
C.
D.
Answer: B
117)   

 The TSA of a cone is 550 cm² and its slant height is 14 cm. Find its radius.

A.
B.
C.
D.
Answer: C
118)   

 A metal cube of side 5 cm is melted and cast into cylindrical rods of radius 0.5 cm. What is the total length of the rods?

A.
B.
C.
D.
Answer: A
119)   

 If the volume of a sphere is equal to the volume of a cube of side 6 cm, then the radius of the sphere is:

A.
B.
C.
D.
Answer: A
120)   

A rectangular sheet 30 cm × 20 cm has 4 identical circles of radius 2 cm cut from its corners. What is the remaining area? 

A.
B.
C.
D.
Answer: C
121)   

 From a circular sheet of radius 10 cm, a sector with central angle 60° is removed. What is the area of the remaining sheet? 

A.
B.
C.
D.
Answer: B
122)   

 A circular ring has inner and outer radii of 7 cm and 14 cm. A sector of 90° is cut from it. Find the area of the sector ring. 

A.
B.
C.
D.
Answer: C
123)   

Find the area of a circular segment formed by a chord 10 cm long in a circle of radius 6 cm. 

A.
B.
C.
D.
Answer: B
124)   

From a square plate of side 10 cm, a circle of radius 3 cm is cut out. Find the remaining area. 

A.
B.
C.
D.
Answer: D
125)   

 A parallelogram has adjacent sides 8 cm and 14 cm with an included angle of 60°. Find its area. 

A.
B.
C.
D.
Answer: C