# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 894 - 896 of 968

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## Question number: 894

### Question

There are two examination rooms P and Q. If 10 candidates are sent from P to Q, the number of students in each room is the same. If 20 candidates are sent from Q to P, the number of students in P is double the number of students in Q. Find the number of students in each room.

### Choices

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

a. | P = 100, Q = 80 | |

b. | P = 95, Q = 70 | |

c. | P = 60, Q = 40 | |

d. | P = 110, Q = 60 |

## Question number: 895

### Question

A group of girls planned a picnic. The budget for food was Due to illness, 10 girls could not go to the picnic and cost of food for each girl increased by . How many girls had planned the picnic?

### Choices

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

a. | 50 | |

b. | 60 | |

c. | 57 | |

d. | 65 |

## Question number: 896

### Question

In the adjoining figure, M is the midpoint of BC and AE is half of BE, then AD is________.

### Choices

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

a. | 16.27 cm | |

b. | 12.44 cm | |

c. | 17.36 cm | |

d. | 15.65 cm |