Mensuration Question Answers MCQ Practice Test – Page 3

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## Mensuration 3

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Your answers are highlighted below.

Question 1 |

**The area of a circular plot is twice the area of a rectangular plot. If the area of the**

**rectangular plot is 11088 sq m, what is the perimeter of the circular plot**

484 m | |

572 m | |

528 m | |

440 m | |

None of These |

Question 2 |

**The circumference of a circle is equal to the perimeter of a square. The side of the**

**square is 33 cm. What is**

**double**

**the diameter of the circle?**

42 cm | |

21 cm | |

10.5 cm | |

94 cm | |

None of These |

Question 3 |

**If the circumference of a circle is decreased by 50%, then the percentage of**

**decrease in its area is**

25 | |

50 | |

60 | |

75 | |

None of These |

Question 4 |

**The sum of the circumference of a circle and the perimeter of a square is equal to**

**272 cm. The diameter of the circle is 56 cm. What is the sum of the area of the**

**circle and the area of the square?**

2464 sq cm | |

2644 sq cm | |

3040 sq cm | |

Cannot be determined | |

None of these |

Question 5 |

**The radius of circle A is twice that of circle B and the radius of circle B is twice**

**that of circle C. Their area will be in the ratio**

16 : 4 : 1 | |

4 : 2 : 1 | |

1 : 2 : 4 | |

1 : 4 : 16 | |

None of These |

Question 6 |

**The cost of building a fence around a circular field is ` 7,700 @ ` 14 per foot.**

**What is the area of the circular field?**

24062.5 sq ft | |

23864.4 sq ft | |

24644.5 sq ft | |

Cannot be Determined | |

None of these |

Question 7 |

**There are two circles of different radii. The area of a square is 196 sq cm whose**

**side is half the radius of the larger circle. The radius of the smaller circle is three seventh that of the larger circle. What is the circumference of the smaller circle?**

12 π cm | |

16 π cm | |

24 π cm | |

32 π cm | |

None of These |

Question 8 |

**A circular road runs round a circular ground. If the difference between the**

**circumference of the outer circle and inner circle is 44 m, find the width of road.**

8 m | |

7 m | |

17 m | |

9 m | |

None of These |

Question 9 |

**On increasing the radius of a cylinder by 6 units, the volume increases by**

*x***cubic**

**units. On increasing the altitude of the cylinder by 6units, the volume also increases**

**by**

*x***cubic units. If the original altitude is 2 units, what is the original radius?**

2 units | |

4 units | |

6 units | |

8 units | |

None of These |

Question 10 |

**There are 5 cones and 5 cylinders each of base radius r and height r. What is the**

**number of spheres of radius r that can be molded out of these (assuming each body**

**to be solid)?**

3 | |

2 | |

5 | |

4 | |

None of these |

Question 11 |

**A conical vessel is lying on a table with its base downwards. The capacity of the**

**vessel is 500 liter and its vertical height is 150 cm. If 244 litre of water is put in the**

**vessel, then what is the height of the water level in the conical vessel above the table?**

25 cm | |

30 cm | |

35 cm | |

40 cm | |

None of These |

Question 12 |

**There are two identical cubes. Out of one cube, a sphere of maximum volume**

**(V**

**s**

**) is cut off. Out of the second cube, a cone of maximum volume (V**

**c**

**) is cut such**

**that its base lies on one of the faces of the cube. Which one of the following is**

**correct?**

Vs = Vc | |

Vs = 2Vc | |

2Vs = 3Vc | |

3Vs = 4Vc | |

None of These |

Question 13 |

**If the diameter of a wire is decreased by 10%, by how much percent**

**(approximately) will the length be increased to keep the volume constant?**

5% | |

17% | |

20% | |

23% | |

21% |

Question 14 |

**A right circular cylinder and a right circular cone have equal bases and equal**

**volumes. But the lateral surface area of the right circular cone is 15/8 times the**

**lateral surface area of the right circular cylinder. What is the ratio of radius to height**

**of the cylinder?**

3 : 4 | |

9 : 4 | |

15 : 8 | |

8 : 15 | |

None of these |

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