# IMO Level 1- Mathematics Olympiad (SOF) Class 7: Questions 69 - 72 of 1022

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## Question number: 69

### Question

Which of the following statements is correct?

### Choices

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

a. | All integers are whole numbers, all natural numbers are integers | |

b. | All whole numbers are integers, all integers are natural numbers | |

c. | All integers are whole numbers, all integers are natural numbers | |

d. | All natural numbers are whole numbers, all whole numbers are integers |

## Question number: 70

### Question

### Assertion (Ꭺ)

Rational numbers are always closed under division by only non-zero rational numbers

### Reason (Ꭱ)

Division by zero is not defined for any rational numbers

### Choices

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

a. | Ꭺ is true but Ꭱ is false | |

b. | Both Ꭺ and Ꭱ are true but Ꭱ is NOT the correct explanation of Ꭺ | |

c. | Both Ꭺ and Ꭱ are true and Ꭱ is the correct explanation of Ꭺ | |

d. | Both Ꭺ and Ꭱ are false |

## Question number: 71

### Question

Which of the following statement is true?

### Choices

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

a. | The product of a positive and a negative integer is negative | |

b. | The product of a negative and a positive integer may be zero | |

c. | For all non-zero integers a and b, is always greater than either a or b | |

d. | Question does not provide sufficient data or is vague |

## Question number: 72

### Question

Which of the following statement is true?

### Choices

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

a. | For all non-zero integers a and b, is always greater than either a or b | |

b. | The product of two negative integers is positive | |

c. | The product of a negative and a positive integer may be zero | |

d. | All of the above |