# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 824 - 829 of 968

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## Question 824

### Question

MCQ▾The legs of a right angled triangle are and The radius of circle inscribed in the triangle (in cm) , is________.

### Choices

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

a. | 2 | |

b. | 4 | |

c. | 3 | |

d. | 1 |

## Question 825

### Question

MCQ▾In the given figure, if then equals________.

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. |

## Question 826

### Question

MCQ▾A cylindrical vessel of height and as the radius of the base, is filled with sand. This bucket is emptied on the ground and a conical heap of sand is formed. If the height of the conical heap is the radius of its base is________.

### Choices

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

a. | ||

b. | 23.76 cm | |

c. | ||

d. | 28.76 cm |

## Question 827

### Question

MCQ▾If the radii of the circular ends of a bucket of height are of lengths and , then the volume of the bucket in cubic centimeters, is________.

### Choices

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

a. | 60060 | |

b. | 70040 | |

c. | 80160 | |

d. | 56980 |

## Question 828

### Question

MCQ▾A man runs around a circle of radius at a speed of The time taken by him for going around it fifteen times is ________.

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. |

## Question 829

### Question

MCQ▾In the given figure, ABCD is cyclic quadrilateral and EF is tangent to the circle with center ‘G’ . AC is diameter, the ________.

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. |