# IMO Level 1- Mathematics Olympiad (SOF) Class 8: Questions 704 - 711 of 1042

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## Question 704

### Question

MCQ▾If a 3-digit number ‘abc’ is divisible by 11, then________.

### Choices

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

a. | is a multiple of 11 | |

b. | is a multiple of 11 | |

c. | is a multiple of 11 | |

d. | is a multiple of 11 |

## Question 705

### Question

MCQ▾A 3 digit number ‘cba’ is divisible by 9 if________.

### Choices

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

a. | 2a + b + c is divisible by 9 | |

b. | a + b + 2c is divisible by 9 | |

c. | a + b + c is divisible by 9 | |

d. | a + 2b + c is divisible by 9 |

## Question 706

### Question

MCQ▾If is divisible by 9, where is a digit less than 5, then the value of is________.

### Choices

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

a. | 0 | |

b. | 1 | |

c. | 2 | |

d. | 3 |

## Question 707

### Question

MCQ▾If and there is no carry on addition, then the value of B is________.

### Choices

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

a. | 0 | |

b. | 5 | |

c. | 1 | |

d. | 3 |

## Question 708

### Question

MCQ▾If divided by 5 leaves a remainder of 4, and divided by 2 leaves a remainder of 1, then the one’s digit of N is________.

### Choices

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

a. | 9 | |

b. | 4 | |

c. | 7 | |

d. | 3 |

## Question 709

### Question

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

### Choices

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

a. | 1 | |

b. | 2 | |

c. | 3 | |

d. | 0 |

## Question 710

### Question

MCQ▾If and there is no carry on addition, then the value of B is________.

### Choices

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

a. | 3 | |

b. | 4 | |

c. | 1 | |

d. | 5 |

## Question 711

### Question

MCQ▾The difference of the squares of two consecutive odd integer is divisible by which of the following integers?

### Choices

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

a. | 7 | |

b. | 5 | |

c. | 8 | |

d. | 2 |