# IMO Level 1- Mathematics Olympiad (SOF) Class 9: Questions 277 - 281 of 931

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## Question 277

### Question

MCQ▾In triangle HKM, the altitude from H to KM meets KM at J, and the altitude from K to HM meets HJ at S. if , and , if then the length of SJ is ________

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. |

## Question 278

### Question

MCQ▾On plotting the points A (3,6) , B (9,6) , C (5,8) , D (11,8) , E (11,3) , F (9,1) , G (3,1) and joining AB, AC, BD, CD, DE, BF, AG, EF, GF Which of the following figure is obtained?

### Choices

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

a. | Cube | |

b. | Teardrop | |

c. | Can | |

d. | Chord |

## Question 279

### Question

MCQ▾If the coordinate of the two points are A (-2,6) and B (-4,5) then (abscissa of A) - (abscissa of B) is ________

### Choices

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

a. | 2 | |

b. | 1 | |

c. | -1 | |

d. | -2 |

## Question 280

### Question

MCQ▾The ratio between the length and the breadth of a rectangular park is . If a man cycling along the boundary of the park at the speed of 15 km/hr completes one round in 12 minutes, then the area of the park is________

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. |

## Question 281

### Question

MCQ▾Two regular polygons are such that the ratio between their no. of sides is 1: 2 and the ratio of measures of their interior angles is 3: 4. Find the number of sides of each polygon.

### Choices

Choice (4) | Response | |
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a. | ||

b. | ||

c. | ||

d. |