# IMO- Mathematics Olympiad Class 10: Questions 623 - 629 of 889

Get 1 year subscription: Access detailed explanations (illustrated with images and videos) to **889** questions. Access all new questions we will add tracking exam-pattern and syllabus changes. View Sample Explanation or View Features.

Rs. 400.00 or

## Question number: 623

### Question

Find the sum of all three-digit natural numbers, which on being divided by 4, leave remainder equal to 2.

### Choices

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

a. | 1, 99, 270 | |

b. | 4, 41, 680 | |

c. | 1, 94, 780 | |

d. | 1, 23, 525 |

## Question number: 624

### Question

If the sum of terms of an A. P. are respectively, then is ________

### Choices

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

a. | 1 | |

b. | 2 | |

c. | 0 | |

d. | 3 |

## Question number: 625

### Question

Find the sum of all four-digit natural numbers, which on being divided by 20, leave remainder equal to 5.

### Choices

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

a. | 69, 65, 000 | |

b. | 24, 70, 500 | |

c. | 60, 27, 000 | |

d. | 32, 23, 001 |

## Question number: 626

### Question

The value of is ________

### Choices

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

a. | 97 | |

b. | 99 | |

c. | 96 | |

d. | 92 |

## Question number: 627

### Question

The sum of all terms of the arithmetic progression having ten terms except for the first term, is 126, and except for the sixth term, 62. Find the third term of the progression if the sum of the first and the fifth term is equal to 16.

### Choices

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

a. | 7 | |

b. | 3 | |

c. | 9 | |

d. | 8 |

## Question number: 628

### Question

The sum of the first term and the fifth term of an ascending A. P. is 30 and the product of the second term by the fourth term is 200. Find the sum of the first seven terms of this A. P

### Choices

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

a. | 140 | |

b. | 130 | |

c. | 190 | |

d. | 160 |

## Question number: 629

### Question

The sum of all terms of the arithmetic progression having ten terms except for the first term, is 99, and except for the sixth term, 89. Find the third term of the progression if the sum of the first and the fifth term is equal to 10.

### Choices

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

a. | 10 | |

b. | 15 | |

c. | 5 | |

d. | 8 |