# IMO- Mathematics Olympiad Class 8: Questions 679 - 686 of 1029

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## Question number: 679

### Question

If is divisible by 3, where z is a digit less than 5, then the values of z are________.

### Choices

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

a. | 3, 1 | |

b. | 1, 2 | |

c. | 1, 0 | |

d. | 0, 3 |

## Question number: 680

### Question

If in a number difference between the sum of digits at its odd places and that of digits at the even places is given 0, then the number and difference is divisible by________.

### Choices

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

a. | 9 | |

b. | 11 | |

c. | 2 | |

d. | 7 |

## Question number: 681

### Question

In a division sum, the divisor is 12 times the quotient and 5 times the remainder. If the remainder is 48, then dividend is________.

### Choices

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

a. | 2424 | |

b. | 8484 | |

c. | 4848 | |

d. | 2021 |

## Question number: 682

### Question

On dividing 12401 by a certain number, we get 76 as quotient and 13 as remainder. What is the divisor?

### Choices

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

a. | 160 | |

b. | 166 | |

c. | 165 | |

d. | 163 |

## Question number: 683

### Question

14321 is divisible by________.

### Choices

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

a. | 3 | |

b. | 4 | |

c. | 9 | |

d. | None of the above |

## Question number: 684

### Question

On dividing 6740 by a certain number, we get 56 as quotient and 20 as remainder. What is the divisor?

### Choices

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

a. | 126 | |

b. | 125 | |

c. | 120 | |

d. | 121 |

## Question number: 685

### Question

The largest natural number by which the product of three consecutive even natural numbers is always divisible is________.

### Choices

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

a. | 96 | |

b. | 28 | |

c. | 48 | |

d. | 18 |

## Question number: 686

### 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. | 4, 4 | |

c. | 5, 5 | |

d. | None of the above |