# IMO- Mathematics Olympiad Class 8: Questions 827 - 831 of 1029

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## Question number: 827

### Question

The ages of two persons differ by 16 years. If 6 years ago the elder one be 3 times as old as the younger one, find their present ages.

### Choices

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

a. | 12 years, 25 years | |

b. | 14 years, 30 years | |

c. | 15 years, 30 years | |

d. | All of the above |

## Question number: 828

### Question

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. | 9.5 feet | |

b. | 9 feet | |

c. | 10 feet | |

d. | All of the above |

## Question number: 829

### Question

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. | 35 feet | |

b. | 34.2 feet | |

c. | 31 feet | |

d. | 33 feet |

## Question number: 830

Appeared in Year: 2012

### Question

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. | 44 | |

b. | 48 | |

c. | 55 | |

d. | 26 |

## Question number: 831

### Question

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. | 40 | |

b. | 50 | |

c. | 60 | |

d. | 100 |