# Arithmetic Progressions (IMO- Mathematics Olympiad Class 10): Questions 12 - 17 of 81

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## Question number: 12

» Arithmetic Progressions

### Question

The arithmetic mean of a number of pair wise distinct prime numbers is 27. Determine the biggest prime among them.

### Choices

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

a. | 45 | |

b. | 48 | |

c. | 46 | |

d. | 47 |

## Question number: 13

» Arithmetic Progressions

### 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. | 2, 00, 000 | |

b. | 1, 00, 000 | |

c. | 3, 02, 000 | |

d. | 5, 00, 000 |

## Question number: 14

» Arithmetic Progressions

### 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. | 133 | |

b. | 115 | |

c. | 140 | |

d. | 126 |

## Question number: 15

» Arithmetic Progressions

### Question

The value of is ________

### Choices

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

a. | 1696 | |

b. | 1638 | |

c. | 3499 | |

d. | 1292 |

## Question number: 16

» Arithmetic Progressions

### Question

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

### Choices

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

a. | 1300 | |

b. | 1652 | |

c. | 1400 | |

d. | 1500 |

## Question number: 17

» Arithmetic Progressions

### 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. | 292.5 | |

c. | 529.5 | |

d. | 492.5 |