# IMO- Mathematics Olympiad Class 9: Questions 653 - 659 of 919

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## Question number: 653

» Linear Equations in Two Variables

### Question

The number of ways of writing the number in the form (a, b are integers)

### Choices

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

a. | Finitely many | |

b. | 0 | |

c. | Infinitely many | |

d. | 1 |

## Question number: 654

### Question

A class starts at 10 a. m. and lasts till 1.27 p. m. four periods are held during this interval. After every period, 5 minutes are given free to the students. The exact duration of each period is ________

### Choices

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

a. | 51 minutes | |

b. | 53 minutes | |

c. | 48 minutes | |

d. | 42 minutes |

## Question number: 655

### Question

The product of all the solutions of , is ________.

### Choices

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

a. |
| |

b. |
| |

c. | 4 | |

d. | 16 |

## Question number: 656

### Question

The number of positive integers k for which the equation has an integer solution for x is ________

### Choices

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

a. | 2 | |

b. | 3 | |

c. | 5 | |

d. | 8 |

## Question number: 657

### Question

The median of the observation 30, 91, 0, 64, 42, 80, 30, 5, 117, 71 is ________

### Choices

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

a. | 53 | |

b. | 51 | |

c. | 52 | |

d. | 52.5 |

## Question number: 658

» Introduction to Euclid's Geometry

### Question

In the figure y = 30˚, then ∠DOE is________ (Assume X = Y)

### Choices

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

a. | 150˚ | |

b. | 30˚ | |

c. | 90˚ | |

d. | 60˚ |

## Question number: 659

### Question

A milk vendor has 2 cans of milk. The first contains water and the rest milk. The second contains water. How much milk should he mix from each of the containers so as to get 12 liters of milk such that the ratio of water to milk is ?

### Choices

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

a. | 7 liters, 5 liters | |

b. | 6 liters, 6 liters | |

c. | 4 liters, 8 liters | |

d. | 5 liters, 7 liters |