# Playing With Numbers (IMO- Mathematics Olympiad Class 6): Questions 65 - 72 of 86

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## Question number: 65

» Playing With Numbers

### Question

The least number which when decreased by 7 is exactly divisible by 6, 7, 21 and 42 is

### Choices

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

a. | 53 | |

b. | 49 | |

c. | 35 | |

d. | 36 |

## Question number: 66

» Playing With Numbers

### Question

HCF of the two numbers =

### Choices

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

a. | Product of numbers × their LCM | |

b. | Product of numbers - their LCM | |

c. | Product of numbers + their LCM | |

d. | Product of numbers ÷ their LCM |

## Question number: 67

» Playing With Numbers

### Question

Which of the following is the pair that is not twin primes?

### Choices

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

a. | (5, 7) | |

b. | (11, 13) | |

c. | (17, 19) | |

d. | (23, 29) |

## Question number: 68

» Playing With Numbers

### Question

The least number of square tiles that will be needed to pave a plot 225 m by 30 m is

### Choices

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

a. | 45 tiles | |

b. | 15 tiles | |

c. | 30 tiles | |

d. | 25 tile |

## Question number: 69

» Playing With Numbers

### Question

The number (67, 54) are

### Choices

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

a. | prime and co-prime | |

b. | Prime numbers | |

c. | Co-prime numbers | |

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

## Question number: 70

» Playing With Numbers

### Question

The number 11284 and 7655 when divided by a certain 3 digit number leave the same remainder. Find the number and the remainder

### Choices

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

a. | 190, 14 | |

b. | 180, 20 | |

c. | 191, 15 | |

d. | 195, 25 |

## Question number: 71

» Playing With Numbers

### Question

The number (9, 8) are

### Choices

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

a. | Co-prime numbers | |

b. | Prime numbers | |

c. | Prime and co-prime | |

d. | All of the above |

## Question number: 72

» Playing With Numbers

### Question

The least number of square tiles that will be needed to pave a plot 135 m by 15 m is

### Choices

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

a. | 12 tiles | |

b. | 18 tiles | |

c. | 9 tiles | |

d. | 15 tiles |