# IMO Level 1- Mathematics Olympiad (SOF) Class 9: Questions 257 - 262 of 931

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## Question 257

### Question

MCQ▾A cylindrical vessel 80 cm in diameter is partially filled with water. A sphere, 80 cm in diameter is gently dropped into the vessel. To what further height will water rise in the cylinder?

### Choices

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

a. | 30.33 cm | |

b. | 53.33 cm | |

c. | 40.33 cm | |

d. | 15.33 cm |

## Question 258

### Question

MCQ▾A spherical ball of lead, 5 cm in diameter is melted and recast into two spherical balls. The diameter of one of these is 4 cm. The radius of the second ball is________

### Choices

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

a. | 2.51 cm | |

b. | 2.26 cm | |

c. | 3.51 cm | |

d. | 3.94 cm |

## Question 259

### Question

MCQ▾In the figure, If and , then

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 260

### Question

MCQ▾The point of concurrency of the angle bisectors of a triangle is called ________.

### Choices

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

a. | Circumcentre | |

b. | Incentre | |

c. | Centroid | |

d. | Orthocentre |

## Question 261

### Question

MCQ▾From the adjoining figure, the value of x is ________.

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 262

### Question

MCQ▾Orthocenter of a triangle is the point of concurrency of its ________

### Choices

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

a. | Medians | |

b. | Angle bisectors | |

c. | Altitudes | |

d. | Perpendicular bisectors |