# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 452 - 458 of 968

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## Question 452

### Question

MCQ▾In an isosceles triangle ABC, is bisected by AD where D lies on BC. It is found that . Then equals ________

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 453

## Question 454

### Question

MCQ▾Area of quadrilateral formed by the vertices is ________

### Choices

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

a. | 9 sq. units | |

b. | 8 sq. units | |

c. | 10 sq. units | |

d. | 7 sq. units |

## Question 455

### Question

MCQ▾The average of 6 number is 40. If one of the numbers is excluded, the mean gets reduced by 5. Then the excluded number is ________

### Choices

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

a. | 35 | |

b. | 55 | |

c. | 65 | |

d. | 45 |

## Question 456

### Question

MCQ▾Four vertices of a parallelogram taken in order are . What will be the ratio of a and b?

### Choices

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

a. | 2: 1 | |

b. | 3: 4 | |

c. | 3: 1 | |

d. |

## Question 457

### Question

MCQ▾A Train maintains an average speed of 40 km/hr while going from L to M and maintains an average speed of 60 km/hr while coming back from M to L. the average speed of the bus is ________.

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 458

### Question

MCQ▾Points are joined to form a quadrilateral. What will be the structure of quadrilateral?

### Choices

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

a. | Square | |

b. | Rhombus | |

c. | Parallelogram | |

d. | Rectangle |