# IMO Level 1- Mathematics Olympiad (SOF) Class 6: Questions 164 - 170 of 1059

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## Question 164

### Question

MCQ▾The number 3,116, 365 is divisible by

### Choices

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

a. | 5 & 7 | |

b. | 5 | |

c. | 7 | |

d. | None of the above |

## Question 165

### Question

MCQ▾Cube of any negative integer is

### Choices

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

a. | 0 | |

b. | Depend on the nature of integer | |

c. | Positive | |

d. | Negative |

## Question 166

### Question

MCQ▾Find the smallest number which will divide the greatest 3-digit number and the greatest 5-digit number exactly.

### Choices

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

a. | 8 | |

b. | 7 | |

c. | 9 | |

d. | 3 |

## Question 167

### Question

MCQ▾If positive sign precedes a bracket the sign of the terms inside the bracket will ________ when the bracket is removed.

### Choices

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

a. | Depends on the bracket | |

b. | Be 0 | |

c. | Change | |

d. | Not change |

## Question 168

### Question

MCQ▾If a, b and c are whole numbers such that a = b and c 0 and c > 0, then

### Choices

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

a. | ||

b. | ||

c. | ||

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

## Question 169

### Question

MCQ▾Which of the following is a perfect square?

### Choices

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

a. | 36 & 81 | |

b. | 37 | |

c. | 81 | |

d. | 36 |

## Question 170

### Question

MCQ▾A, M, T, I represent different non-zero digits, It is given that A + M + T + I – 11

A + M + I – 10

A + M – 1

Further in the following addition only one digit is given.

The sum will be?

### Choices

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

a. | Sum is 35722292 | |

b. | Sum is 35725734 | |

c. | Sum is 35725792 | |

d. | Sum is 34425792 |