# IMO- Mathematics Olympiad Class 8: Questions 460 - 464 of 1029

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## Question number: 460

### Question

A hoop is resting vertically at staircase as shown in the diagram. AB = 8 cm and BC = 4 cm. The radius of the hoop is________.

### Choices

Choice (4) | Response | |
---|---|---|

a. | 12 cm | |

b. | 10 cm | |

c. | 14 cm | |

d. | 11 cm |

## Question number: 461

### Question

The radius of a cylinder is doubled but its lateral surface area is unchanged. Then its height must be________.

### Choices

Choice (4) | Response | |
---|---|---|

a. | Constant | |

b. | Halved | |

c. | Doubled | |

d. | Tripled |

## Question number: 462

### Question

Between a square of perimeter 36 cm and a circle of circumference 36 cm, which figure has larger area and by how much?

### Choices

Choice (4) | Response | |
---|---|---|

a. | Circle, 22 | |

b. | Square, 22 | |

c. | Circle, 26 | |

d. | None of the above |

## Question number: 463

### Question

Two rectangles ABCD and DBEF are as shown in the figure. The area of rectangle DBEF in square units is________.

### Choices

Choice (4) | Response | |
---|---|---|

a. | 40 | |

b. | 90 | |

c. | 60 | |

d. | 70 |

## Question number: 464

### Question

A right cylindrical vessel is full with water, how many right cones having half diameter and height as that of right cylinder will be needed to store that water?

### Choices

Choice (4) | Response | |
---|---|---|

a. | 12 | |

b. | 25 | |

c. | 23 | |

d. | 24 |