# IMO Level 2- Mathematics Olympiad (SOF) Class 8: Questions 264 - 267 of 315

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## Question 264

Appeared in Year: *2017*

### Question

MCQ▾The sum of two numbers is 15. If the sum of their reciprocal is , then find the difference between the numbers.

### Choices

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

a. | 3 | |

b. | 5 | |

c. | 1 | |

d. | 6 |

## Question 265

Appeared in Year: *2018*

### Question

True-False▾### Statements

If the ratio of an interior angle to an exterior angle of a regular polygon is 7: 2, then the number of sides of the polygon is 8.

If one of the interior angles of a regular polygon is equal to of each interior angle of a regular hexagon, then the number of sides of the polygon is 7.

If the sum of all interior angles of a regular polygon is twice the sum of all its exterior angles, then the polygon is hexagon.

If each exterior angle of a regular polygon is 40°, then the number of sides of the polygon is 10.

### Choices

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

a. | Only statement Ⅲ is true. | |

b. | None of the statements is correct. | |

c. | Only statement Ⅰ is true. | |

d. | Both statement Ⅰ & statement Ⅱ are true. |

## Question 266

Appeared in Year: *2018*

### Question

MCQ▾If I , II , III , IV , then

### Choices

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

a. | I and II are equal | |

b. | II and III are equal | |

c. | I and IV are equal | |

d. | All of the above |