# IMO- Mathematics Olympiad Class 8: Questions 791 - 795 of 1029

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## Question number: 791

### Question

A painter leans a 15 foot ladder against the side of a house. The top of the ladder touches the house at a height that is 3 feet more than the distance from the house to the bottom of the ladder. How far is the bottom of the ladder from the house?

### Choices

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

a. | 3 foot | |

b. | 7 foot | |

c. | 9 foot | |

d. | None of the above |

## Question number: 792

### Question

The total area of a circle and a rectangle is equal to 1166 sq. cm. The diameter of the circle is 28 cm. What is the sum of the circumference of the circle and the perimeter of the rectangle if the length of the rectangle is 25 cm?

### Choices

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

a. | 188 cm | |

b. | 189 cm | |

c. | 186 cm | |

d. | 182 cm |

## Question number: 793

### Question

At 3: 00 p. m. on a sunny day, a stick 3 feet tall casts a shadow 7 feet long. At the same time, a tree nearby casts a shadow 55 feet long. What is the height in feet, of the tree?

### Choices

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

a. | 23.57 feet | |

b. | 21.22 feet | |

c. | 10.25 feet | |

d. | 12.50 feet |

## Question number: 794

### Question

Mohan gets 3 marks for each correct answer and loses 2 marks for each wrong answer. He attempts 30 problems and obtains 40 marks. The number of problem solved correctly is________.

### Choices

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

a. | 25 | |

b. | 20 | |

c. | 18 | |

d. | 21 |

## Question number: 795

### Question

A ladder 10 meters long reaches a window which is 6 meters above the ground on one side of a street. Keeping its foot at the same point, the ladder is turned to other side of the street to reach a window 8 meters high. The width of the street is ________.

### Choices

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

a. | 12 m | |

b. | 14 m | |

c. | 10 m | |

d. | 11 m |