# IMO Level 1- Mathematics Olympiad (SOF) Class 9: Questions 649 - 656 of 931

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## Question 649

## Question 650

## Question 651

### Question

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

### Choices

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

a. | 1 | |

b. | Infinitely many | |

c. | 0 | |

d. | Finitely many |

## Question 652

### Question

MCQ▾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. | 48 minutes | |

b. | 51 minutes | |

c. | 42 minutes | |

d. | 53 minutes |

## Question 653

### Question

MCQ▾The product of all the solutions of , is ________.

### Choices

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

a. | 4 | |

b. | ||

c. | 16 | |

d. |

## Question 654

### Question

MCQ▾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 655

### Question

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

### Choices

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

a. | 52.5 | |

b. | 51 | |

c. | 53 | |

d. | 52 |

## Question 656

### Question

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

### Choices

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

a. | 150˚ | |

b. | 30˚ | |

c. | 60˚ | |

d. | 90˚ |