# IMO Level 1- Mathematics Olympiad (SOF) Class 8: Questions 792 - 796 of 1040

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## Question number: 792

### 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. | 12.50 feet | |

b. | 10.25 feet | |

c. | 23.57 feet | |

d. | 21.22 feet |

## Question number: 793

### 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. | 18 | |

b. | 21 | |

c. | 25 | |

d. | 20 |

## Question number: 794

### 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. | 11 m | |

c. | 14 m | |

d. | 10 m |

## Question number: 795

### Question

The average age of 5 students is 70 years and their ages are in proportion 3: 5: 7: 9: 11, the age of youngest girl is________.

### Choices

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

a. | 30 years | |

b. | 40 years | |

c. | 35 years | |

d. | 10 years |

## Question number: 796

### Question

Manoj earns 25000 per month. He spends on household items and on education of his children. The amount he saves is________.

### Choices

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

a. | Rs. 10,000 | |

b. | Rs. 6700 | |

c. | Rs. 20,220 | |

d. | Rs. 5370 |