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## Data Structure Questions and Answers-Generating Partitions

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Question 1 |

What is meant by integer partition?

representing an integer as sum of positive and negative real numbers | |

representing an integer as sum of positive and negative integers | |

representing an integer as sum of positive integers | |

representing an integer as sum of positive real numbers |

**Current affairs Questions answers**

Question 1 Explanation:

Integer partition is the way of representing an integer as sum of positive integers. Partitions differing only in their order are considered to be same.

Question 2 |

How many partitions will be formed for the integer 3?

2 | |

3 | |

4 | |

8 |

**Journalism Questions answers**

Question 2 Explanation:

We need to find the combinations of positive integers which give 3 as their sum. These will be {3}, {2, 1}, {1, 1, 1}. Thus the correct answer is 3.

Question 3 |

What is meant by number theory?

study of integers | |

study of complex numbers | |

numerology | |

theory of origination of mathematics |

**Home science Questions answers**

Question 3 Explanation:

Number theory is a branch of mathematics that deals with the study of integers. Partitioning of a number comes under the study of number theory.

Question 4 |

Which of the following is true according to Ramanujan's congruence?

No. of partitions are divisible by 5 for a number 3 more than a multiple of 5 | |

No. of partitions are divisible by 5 for a number 4 more than a multiple of 5 | |

No. of partitions are divisible by 5 for a number 2 more than a multiple of 5 | |

No. of partitions are divisible by 5 for a number 1 more than a multiple of 5 |

**Computer science Questions answers**

Question 4 Explanation:

Ramanujan's congruence are some relations found for the no. of partitions of an integer. According to it, the number of partitions of an integer is divisible by 5 if that integer is 4 more than a multiple of 5.

Question 5 |

The no. of partitions of which of the following integer will be divisible by 5?

3 | |

5 | |

9 | |

6 |

**EVS Questions answers**

Question 5 Explanation:

According to Ramanujan's congruence number of partitions of an integer is divisible by 5 if that integer is 4 more than a multiple of 5. So out of the given options 9 is the only integer which satisfies this condition.

There are 5 questions to complete.