# Direct and Inverse Proportions (IMO- Mathematics Olympiad Class 8): Questions 42 - 47 of 62

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## Question number: 42

» Direct and Inverse Proportions

### Question

If A: B = 3: 4 and B: C = 5: 6, then C: A is equal to, ________.

### Choices

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

a. | 15: 14 | |

b. | 24: 15 | |

c. | 12: 23 | |

d. | 25: 14 |

## Question number: 43

» Direct and Inverse Proportions

### Question

A cistern has two inlets A and B which can fill it in 10 minutes and 20 minutes respectively. An outlet C can empty the full cistern in 4 minutes. If all the pipes are opened together in the empty tank, time taken to fill the tank completely is ________.

### Choices

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

a. | 25 minutes | |

b. | 20 minutes | |

c. | 15 minutes | |

d. | 10 minutes |

## Question number: 44

» Direct and Inverse Proportions

### Question

A water tank is two-fifth full. Pipe A can fill a tank in 12 minutes and pipe B can empty it in 6 minutes. If both the pipes are open, how long will it take to empty or fill the tank completely?

### Choices

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

a. | 4.8 minutes | |

b. | 5 minutes | |

c. | 4 minutes | |

d. | 5.5 minutes |

## Question number: 45

» Direct and Inverse Proportions

### Question

A man completes of a job in 12 days. At this rate how many more days will it take him to finish the job?

### Choices

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

a. | 27 | |

b. | 26 | |

c. | 24 | |

d. | 23 |

## Question number: 46

» Direct and Inverse Proportions

### Question

can do a piece of work in 20 days and can do alone it in 10 days. B works at it for 5 days and then leaves. alone can finish the remaining work in________.

### Choices

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

a. | 11 days | |

b. | 10 days | |

c. | 10.5 days | |

d. | 5 days |

## Question number: 47

» Direct and Inverse Proportions

### Question

Two numbers are in the ratio 7: 9. If each number is increased by 18, the ratio becomes 9: 11. The numbers are________.

### Choices

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

a. | 35, 81 | |

b. | 63, 85 | |

c. | 65, 35 | |

d. | 63, 81 |