# IMO Level 1- Mathematics Olympiad (SOF) Class 8: Questions 749 - 755 of 1040

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## Question number: 749

### Question

If a 5-digit number ‘abcde’ is divisible by 8, then________.

### Choices

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

a. | is an integer | |

b. | is an integer | |

c. | is an integer | |

d. | is an integer |

## Question number: 750

### Question

If , where A and B are single digit number such that , then the values of A and B are________.

### Choices

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

a. | 4,5 | |

b. | 5,4 | |

c. | 6,9 | |

d. | 9,6 |

## Question number: 751

### Question

If divided by 13 leaves a remainder of 11, and divided by 17 leaves a remainder of 9, then the one’s digit of N can be ________.

### Choices

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

a. | 3 | |

b. | 4 | |

c. | 7 | |

d. | 9 |

## Question number: 752

### Question

A tetrahedron has 4 Faces, 6 Edges then the number of vertices (using Euler’s formula) is________.

### Choices

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

a. | 4 | |

b. | 3 | |

c. | 2 | |

d. | 1 |

## Question number: 753

### Question

The number of students watched TV for more than 7 hours is________.

### Choices

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

a. | 6 | |

b. | 2 | |

c. | 5 | |

d. | None of the above |

## Question number: 754

### Question

A 5-digit number xy978 is divisible by 9 such that x + y < 5, where x and y are digits, then possible values of (x, y) are________.

### Choices

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

a. | (2,1), (0,3) and (1,2) | |

b. | (1,2), (0,3) and (2,1) | |

c. | (1,2), (3,0) and (2,1) | |

d. | None of the above |

## Question number: 755

### Question

If is divided by 5 leaves a remainder of 1, then one’s digit of must be________.

### Choices

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

a. | Either 1 or 2 | |

b. | Either 1 or 6 | |

c. | Either 4 or 5 | |

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