# IMO Level 2- Mathematics Olympiad (SOF) Class 9: Questions 1 - 4 of 76

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## Question number: 1

» Analytical Reasoning and Logical Reasoning

Appeared in Year: 2014

### Question

Poiting to Mohit, Sana said, “His mother’s brother is the father of my son Nitin. ” How is Mohit related to Sana?

### Choices

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

a. | Niece | |

b. | Nephew | |

c. | Brother | |

d. | Uncle |

## Question number: 2

### Question

Sixteen years ago, Tanya’s grandfather was 8 times older to her. He would be 3 times of her age 8 years from now. Eight years ago, what was the ratio of Tanya’s age to that of her grandfather?

### Choices

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

a. | 1: 5 | |

b. | 3: 8 | |

c. | 1: 2 | |

d. | None of the above |

## Question number: 3

### Question

Consider the volumes of the following:

1. A parallelogram of length 5 cm, breadth 3 cm and height 4 cm

2. A cube of each side 4 cm

3. A cylinder of radius 3 cm and length 3 cm

4. A sphere of radius 3 cm

The volumes of these in the decreasing order is ________.

### Choices

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

a. | 4,3, 2,1 | |

b. | 4,2, 3,1 | |

c. | 1,2, 3,4 | |

d. | 1,3, 2,4 |

## Question number: 4

### Question

A large solid sphere of diameter 15 m is melted and recast into several small spheres of diameter 3 m. What is the percentage increase in the surface area of the smaller spheres over that of the large sphere?

### Choices

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

a. | Can’t be determined | |

b. |
| |

c. |
| |

d. | Both a. and c. are correct |