# IMO Level 1- Mathematics Olympiad (SOF) Class 8: Questions 827 - 830 of 1042

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## Question 827

### Question

MCQ▾A ladder is leaning against a house. The distance between the bases of the ladder to the house is 3 feet. The length of the ladder is 10 feet. In feet, how far above the ground does the ladder touch the house?

### Choices

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

a. | 10 feet | |

b. | 9 feet | |

c. | 9.5 feet | |

d. | Question does not provide sufficient data or is vague |

## Question 828

### Question

MCQ▾If a building casts a 20 feet shadow and a flagpole casts a 7 feet shadow and the flagpole is 12 feet tall, how high is the building?

### Choices

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

a. | 31 feet | |

b. | 33 feet | |

c. | 34.2 feet | |

d. | 35 feet |

## Question 829

Appeared in Year: *2012*

### Question

MCQ▾In the morning batch at a school we have observed that when five students took seat on each bench, 4 students remained unseated. But when eleven students took seat per bench, 4 benches remained vacant. The number of students in the morning batch were?

### Choices

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

a. | 26 | |

b. | 44 | |

c. | 55 | |

d. | 48 |

## Question 830

### Question

MCQ▾A third of Viral’s marks in mathematics exceeds a half of his marks in English by 30. If he got 240 marks in the two subjects together, how many marks he get in English?

### Choices

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

a. | 60 | |

b. | 50 | |

c. | 40 | |

d. | 100 |