# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 784 - 788 of 968

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## Question 784

### Question

MCQ▾The number of solid spheres, each of diameter that could be moulded to form a solid metal cylinder of height and diameter is________.

### Choices

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

a. | 264 | |

b. | 122 | |

c. | 108 | |

d. | 445 |

## Question 785

### Question

Data Sufficiency▾A solid metallic cone is melted and recast into a sphere. What is the radius of the sphere?

### Statements

The radius of the base of the cone is

The height of the cone is 3 times the radius of its base.

The height of the cone is

### Choices

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

a. | Both statement Ⅰ & statement Ⅱ are sufficient. | |

b. | Either one of the statements is sufficient. | |

c. | Only statement Ⅱ is sufficient, while others are not sufficient. | |

d. | Either statement Ⅱ or statement Ⅲ is sufficient. |

## Question 786

### Question

MCQ▾In given and is right angled. Then ________

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 787

## Question 788

### Question

MCQ▾The inner circumference of a circular track is The track is wide from everywhere. The quantity of wire required to surround the path completely is ________.

### Choices

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

a. | ||

b. | ||

c. | ||

d. |