# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 711 - 714 of 968

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## Question 711

### Question

MCQ▾The diameter of the driving wheel of a bus is How many revolutions per minute must the wheel make in order to keep a speed of per hour?

### Choices

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

a. | 100 | |

b. | 243 | |

c. | 110 | |

d. | 280 |

## Question 712

### 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. | 24556 | |

b. | 25454 | |

c. | 12555 | |

d. | 21560 |

## Question 713

### Question

MCQ▾Give Below are the steps of construction of a pair of tangents to a circle of radius from a point on the concentric circle of radius . Find which of the following step is wrong?

- Step-1: Take a point O on the plane paper and draw a circle of radius Also, draw a concentric circle of radius
- Step-2: Find the mid-point A of OB and draw a circle of radius suppose this circle intersects the circle of radius at P and Q.
- Step-3: Join BP and BQ to get the desired tangents.

### Choices

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

a. | Only 2 | |

b. | Only 1 | |

c. | 2 and 3 | |

d. | 1 and 2 |

## Question 714

### Question

MCQ▾is right angled at Q. The radius of the incircle is________.

### Choices

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

a. | ||

b. | ||

c. | ||

d. |