# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 815 - 818 of 968

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## Question 815

### 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. | 110 | |

c. | 124 | |

d. | 243 |

## Question 816

### 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. | 250 | |

b. | 243 | |

c. | 200 | |

d. | 280 |

## Question 817

### Question

MCQ▾Let ABC be a right triangle in which . BD is the perpendicular from B on AC. The circle through B, C, and D is drawn from A to this circle. Given below are the steps of constructions of a pair of tangents. Find out the wrong step.

- Step I: Draw and perpendicular BD from B on AC.
- Step II: Draw a circle with BC as a diameter. This circle will pass through D.
- Step III: Let O be the mid-point of BC. Join AO.
- Step IV: Draw a circle with AO as diameter. This circle cuts the circle drawn in step II B at P. joins AO, AP and AB are desired tangents. Drawn from A to the circle passing through B, C and D.

### Choices

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

a. | Only 4 | |

b. | Only 1 | |

c. | Only 3 | |

d. | Only 2 |

## Question 818

### Question

MCQ▾The perimeter of a sector of a circle of radius is The area of the sector is________.

### Choices

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

a. | ||

b. | ||

c. | ||

d. |