# IMO Level 1- Mathematics Olympiad (SOF) Class 9: Questions 403 - 408 of 931

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## Question 403

### Question

MCQ▾The largest sphere is cut off from a cube of side 8 cm. the volume of the sphere will be ________

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## Question 404

### Question

MCQ▾In parallelogram UVWX, The altitudes UY and WZ are respectively 14 cm and 15 cm. find UX.

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## Question 405

### Question

MCQ▾In the given figure, WXYZ is a rectangle. If, then the value of is ________

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## Question 406

## Question 407

### Question

MCQ▾A spherical ball of lead, 9 cm in diameter is melted and recast into four spherical balls. The diameter of three of these are 3 cm, 2 cm, 2.5 cm is respectively. The radius of the fourth ball is________.

### Choices

Choice (4) | Response | |
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a. | 6.79 cm | |

b. | 8.79 cm | |

c. | 5.79 cm | |

d. | 7.79cm |

## Question 408

### Question

MCQ▾In the adjoining figure, AP and BP are angle bisectors of and which meet at P of the parallelogram ABCD. Then

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