# IMO Level 1- Mathematics Olympiad (SOF) Class 8: Questions 855 - 859 of 1040

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## Question number: 855

### Question

A 20 m pole casts a 5 m shadow. If, at the same time of day, a building casts a shadow of 20 m, how high is the building?

### Choices

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

a. | 50 m | |

b. | 20 m | |

c. | 60 m | |

d. | 80 m |

## Question number: 856

### Question

A stick 2 feet tall casts a shadow 5 feet long. At the same time, a tree nearby casts a shadow 60 feet long. What is the height, in feet, of the tree?

### Choices

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

a. | 23 feet | |

b. | 25 feet | |

c. | 21 feet | |

d. | 24 feet |

## Question number: 857

### Question

A person who is 5 feet tall is standing 112 feet from the base of a tree, and the tree casts a 110 foot shadow. The person’s shadow is 11 feet in length. What is the height of the tree?

### Choices

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

a. | 50 feet | |

b. | 40 feet | |

c. | 20 feet | |

d. | All of the above |

## Question number: 858

### Question

The difference between compound interest and simple interest for 3 years@20 % p. a. is Rs. 152. What is the principal lent in each case?

### Choices

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

a. | 1185 Rs | |

b. | 1285 Rs | |

c. | 11876.5 Rs | |

d. | 1182 Rs |

## Question number: 859

### Question

A merchant has 140 liters, 260 liters and 320 liters of three kinds of oil. He wants to sell the oil by filling the three kinds of oil separately in tins of equal volumes. The volume of such a tin is________.

### Choices

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

a. | 30 | |

b. | 20 | |

c. | 10 | |

d. | 15 |