# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 13 - 22 of 968

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## Question 13

### Question

MCQ▾Find out a rational number lying between

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 14

### Question

MCQ▾If ‘u’ and “s” are rational numbers and , then u = ________

### Choices

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

a. | 17 | |

b. | ||

c. | ||

d. |

## Question 15

## Question 16

### Question

MCQ▾Given that H. C. F , find L. C. M .

### Choices

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

a. | 53560 | |

b. | 73680 | |

c. | 63670 | |

d. | 83790 |

## Question 17

### Question

MCQ▾is integers, none of which are divisible by 4. The remainder when is divided by 4 is ________

### Choices

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

a. | 0 or 1 | |

b. | 1 | |

c. | 0 | |

d. | 1 or 2 |

## Question 18

### Question

MCQ▾Sum of squares of the two consecutive natural numbers is 421. The two consecutive numbers respectively________

### Choices

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

a. | 67 and 68 | |

b. | 34 and 35 | |

c. | 21 and 22 | |

d. | 14 and 15 |

## Question 19

### Question

MCQ▾Given that H. C. F , find L. C. M .

### Choices

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

a. | 19584 | |

b. | 21390 | |

c. | 23625 | |

d. | 22513 |

## Question 20

### Question

MCQ▾Given that H. C. F , find L. C. M .

### Choices

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

a. | 100620 | |

b. | 100420 | |

c. | 100320 | |

d. | 100520 |

## Question 21

### Question

MCQ▾Rational number between and is ________

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 22

### Question

MCQ▾A eight digit number is a multiple of 73 and 137. If the second digit from left is 7, then 6^{th} digit from the left of the number is ________

### Choices

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

a. | 3 | |

b. | 9 | |

c. | 7 | |

d. | 5 |