# IMO Level 1- Mathematics Olympiad (SOF) Class 9: Questions 817 - 821 of 931

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## Question 817

### Question

MCQ▾P, Q and R enter into partnership by making investments in the ratio. After a year, R invests another Rs. 452500 while P withdrew Rs. 65400. The ratio of investments then changes to . How much did R invest initially?

### Choices

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

a. | Rs. 225899 | |

b. | Rs. 228900 | |

c. | Rs. 228990 | |

d. | Rs. 224516 |

## Question 818

## Question 819

### Question

MCQ▾There are three pillars X, Y and Z of different heights. Three spiders A, B and C start to climb on these pillars simultaneously. In one chance A climbs on X 5 cm but slips down 1 cm. B climbs on Y 6 cm but slips down 3 cm. C climbs on Z 7 cm but slips down 2 cm. if each requires 50 chances to reach the top of the pillar, what is the height of the shortest pillar?

### Choices

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

a. | 153 cm | |

b. | 152 cm | |

c. | 144 cm | |

d. | 141 cm |

## Question 820

### Question

MCQ▾A group of 1200 persons consisting of captains and soldiers is travelling in a train. For every 15 soldiers there is one captain. The number of captains in the group is

### Choices

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

a. | 80 | |

b. | 70 | |

c. | 75 | |

d. | 85 |

## Question 821

### Question

MCQ▾In a class test, in mathematics, 10 students scored 75 marks, 12 students scored 60 marks, 8 scored 40 marks and 3 scored 30 marks. The mean of their score is (approximately) ________

### Choices

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

a. | 57 marks | |

b. | 15 marks | |

c. | 56 marks | |

d. | 54 marks |