# IMO Level 1- Mathematics Olympiad (SOF) Class 9: Questions 351 - 355 of 931

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## Question 351

### Question

MCQ▾The area of a quadrilateral JKLM, in which , is an equilateral triangles of side 20 cm and is________.

### Choices

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

b. | ||

c. | ||

d. |

## Question 352

### Question

MCQ▾A1 is a circle of radius 8 cm, A2 is a circle of radius 12 cm. Shivangi wants the two circles to touch tangentially. She knows that there are two possibilities for the distance between their centres. What are these two distances?

### Choices

Choice (4) | Response | |
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a. | 4 cm and 20 cm | |

b. | 5 cm and 19 cm | |

c. | 12 cm and 4 cm | |

d. | 16 cm and 8 cm |

## Question 353

### Question

MCQ▾In the figure, the value of x if , is ________

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Choice (4) | Response | |
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d. |

## Question 354

### Question

MCQ▾Triangle PAB is formed by three tangents to circle with center O and , then angle AOB equals ________

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

b. | ||

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d. |

## Question 355

### Question

MCQ▾A wooden article was made by scooping out a hemisphere from each end of a solid cylinder. If the height of the cylinder is 20 cm, and its base is of radius 7.5 cm, find the total surface area of the article.

### Choices

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

b. | ||

c. | ||

d. |