# IMO- Mathematics Olympiad Class 6: Questions 139 - 144 of 912

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## Question number: 139

### Question

Take a triangle. Three straight lines are drawn through the vertices of the triangle as shown. The maximum number of points of intersection is 3. Draw two lines through each vertex of a triangle to meet the opposite sides. What is the maximum number of points of intersection?

Find again drawing the maximum number of points of intersection when three lines are drawn through each vertex. Without drawing can you guess the maximum points of intersection for 4 lines?

### Choices

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

a. | 38 | |

b. | 48 | |

c. | 42 | |

d. | 40 |

## Question number: 140

### Question

The number 6, 43, 590 is divisible by

### Choices

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

a. | 2 | |

b. | 6 | |

c. | 3 | |

d. | All a. , b. and c. are correct |

## Question number: 141

### Question

Number of prime numbers from 20 to 70 are

### Choices

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

a. | 11 | |

b. | 9 | |

c. | 16 | |

d. | 13 |

## Question number: 142

### Question

The two numbers nearest to 2000 which are exactly divisible by each of 2, 3, 4, 5 and 6 is

### Choices

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

a. | 1970, 2220 | |

b. | 1969, 2220 | |

c. | 1860, 2220 | |

d. | 1940, 2220 |

## Question number: 143

### Question

Product of two integer is If one of the integers is , then the other is

### Choices

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

a. |
| |

b. | 12 | |

c. |
| |

d. | 6 |

## Question number: 144

### Question

There are 378 Mangoes in a basket. A girl takes out 7 Mango from it and replaces them by 15 orange. She continues to do so, till all Mangoes are replaced by Orange. Find the number of orange put in the basket?

### Choices

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

a. | 460 | |

b. | 480 | |

c. | 810 | |

d. | 850 |