# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 486 - 493 of 968

Access detailed explanations (illustrated with images and videos) to **968** questions. Access all new questions- tracking exam pattern and syllabus. View the complete topic-wise distribution of questions. *Unlimited Access, Unlimited Time, on Unlimited Devices*!

View Sample Explanation or View Features.

Rs. 450.00 -OR-

How to register? Already Subscribed?

## Question 486

### Question

MCQ▾Find the area of the quadrilateral, the coordinates of whose angular points taken in order are .

### Choices

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

a. | 184 | |

b. | 115 | |

c. | 146 | |

d. | 712 |

## Question 487

### Question

MCQ▾The mean of 10 observations is . if each observation is multiplied by 4, then what is the new mean?

### Choices

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

a. | 60 | |

b. | 50 | |

c. | 70 | |

d. | 30 |

## Question 488

### Question

MCQ▾The mean of 9 observations is 36. If the mean of the first 5 observations is 32 and that of the last 5 observations is 39, then the fifth observation is ________

### Choices

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

a. | 37 | |

b. | 28 | |

c. | 43 | |

d. | 31 |

## Question 489

### Question

MCQ▾is three vertices of the parallelogram WXYZ. The coordinates of fourth vertex is ________

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 490

### Question

MCQ▾If the Points are collinear then which of the following is true?

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 491

### Question

MCQ▾The vertices of are . If AD is angle bisector, where D meets on BC, then coordinates of D are ________

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 492

### Question

MCQ▾In the figure, is isosceles. Then ________

### Choices

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

a. | ||

b. | ||

c. | ||

d. |

## Question 493

### Question

MCQ▾A card is drawn from a packet of 200 cards numbered 1 to 200. The probability of drawing a number which is a thrice is ________

### Choices

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

a. | ||

b. | ||

c. | ||

d. |