# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 55 - 63 of 968

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## Question 55

### Question

MCQ▾Ascending order of the surds is ________

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 56

## Question 57

### Question

MCQ▾is integers, none of which are divisible by 9. The remainder when is divided by 9 is ________

### Choices

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

a. | 0 or 1 | |

b. | 1 or 2 | |

c. | 1 | |

d. | 0 |

## Question 58

## Question 59

### Question

MCQ▾A ten digit number is a multiple of 11 and 9091. If the second digit from left is 5, then 7^{th} digit from the left of the number is ________

### Choices

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

a. | 9 | |

b. | 3 | |

c. | 2 | |

d. | 5 |

## Question 60

### Question

MCQ▾If ‘j’ and ‘k’ are rational numbers and , then k = ________

### Choices

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

a. | 21 | |

b. | 12 | |

c. | 45 | |

d. | 10 |

## Question 61

### Question

MCQ▾is ________

### Choices

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

a. | A rational number | |

b. | Real number | |

c. | An irrational number | |

d. | None of the above |

## Question 62

### Question

MCQ▾A twelve digit number is a multiple of 101 and 9901. If the second digit from left is 8, then 8^{th} digit from the left of the number is ________

### Choices

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

a. | 7 | |

b. | 6 | |

c. | 8 | |

d. | 5 |

## Question 63

### Question

MCQ▾Which of the following numbers has the terminating decimal representation?

### Choices

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

a. | ||

b. | ||

c. | ||

d. |