# IMO Level 1- Mathematics Olympiad (SOF) Class 6: Questions 213 - 219 of 1059

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## Question 213

### Question

MCQ▾When a number is divided by eight, it has a remainder of 2. When it is divided by nine, it has remainder of 1. What is the number?

### Choices

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

a. | 15 | |

b. | 12 | |

c. | 34 | |

d. | 10 |

## Question 214

### Question

MCQ▾What least value should be given to ⊕ so that the number 653 ⊕ 47 is divisible by 11?

### Choices

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

a. | 9 | |

b. | 6 | |

c. | 7 | |

d. | 1 |

## Question 215

### Question

MCQ▾The numbers which have more than two factors are called ________.

### Choices

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

a. | Composite | |

b. | Prime | |

c. | Prime & Composite | |

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

## Question 216

### Question

MCQ▾The LCM of two numbers is 198. If one number is 396 and another is 66, then the HCF is

### Choices

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

a. | 132 | |

b. | 144 | |

c. | 231 | |

d. | 154 |

## Question 217

### Question

MCQ▾The integer which is 7 more than is

### Choices

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

a. | 4 | |

b. | - 4 | |

c. | - 10 | |

d. | 16 |

## Question 218

### Question

MCQ▾There are 216 black balls in a basket. A boy takes out 8 black balls from it and replaces them by 16 white balls. He continues to do so, till all black balls are replaced by white balls. Find the number of white balls put in the basket?

### Choices

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

a. | 462 | |

b. | 654 | |

c. | 432 | |

d. | 485 |

## Question 219

### Question

MCQ▾Number of prime and co-prime numbers from 30 to 90 are

### Choices

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

a. | 14 | |

b. | 15 | |

c. | 13 | |

d. | 19 |