# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 580 - 585 of 968

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## Question number: 580

### Question

A is thrice as good a workman as B and takes 10 days less to do a piece of work than B takes. B can do the work in ________

### Choices

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

a. | 20 days | |

b. | 12 days | |

c. | 30 days | |

d. | 15 days |

## Question number: 581

### Question

Obtain the sum of all positive integers up to 2000, which are divisible by 5 and not divisible by 2

### Choices

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

a. | 1,00,000 | |

b. | 5,00,000 | |

c. | 3,02,000 | |

d. | 2,00,000 |

## Question number: 582

### Question

The sum of the first term and the fifth term of an ascending A. P. is 28 and the product of the second term by the fourth term is 180. Find the sum of the first seven terms of this A. P

### Choices

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

a. | 126 | |

b. | 115 | |

c. | 133 | |

d. | 140 |

## Question number: 583

### Question

The value of is ________

### Choices

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

a. | 1696 | |

b. | 1638 | |

c. | 1292 | |

d. | 3499 |

## Question number: 584

### Question

If Belongs to A. P. such that , then the value of equals ________

### Choices

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

a. | 1500 | |

b. | 1400 | |

c. | 1652 | |

d. | 1300 |

## Question number: 585

### Question

The sum of the fourth term and the six term of an ascending A. P. is 50 and the product of the third term by the fifth term is 200. Find the sum of the first ten terms of this A. P

### Choices

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

a. | 392.5 | |

b. | 529.5 | |

c. | 292.5 | |

d. | 492.5 |