# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 763 - 768 of 968

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## Question 763

### Question

MCQ▾A bucket is in the form of a frustum of a cone, its depth is and the diameters of the top and the bottom are and respectively. Find how many liters the bucket can hold?

### Choices

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

b. | ||

c. | ||

d. |

## Question 764

### Question

Data Sufficiency▾What is the volume of a cube?

### Statements

The surface area of cube is .

The length of the cube is

### Choices

Choice (4) | Response | |
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a. | None of the statements are sufficient. | |

b. | Only statement Ⅰ is sufficient, while others are not sufficient. | |

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

d. | All of the statements are sufficient. |

## Question 765

### Question

MCQ▾In the following figure PQ is of length OP is then the radius of the circle is________.

### Choices

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

b. | ||

c. | ||

d. |

## Question 766

### Question

MCQ▾In the given figure is tangent and is a secant to the circle. If the bisector of meets at then is________.

### Choices

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

b. | ||

c. | ||

d. |

## Question 767

### 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 is ________.

### Choices

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

b. | ||

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d. |

## Question 768

### Question

MCQ▾A circle inscribed in having , touching sides at A, B, C. then is

### Choices

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

b. | ||

c. | ||

d. |