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# Number System Questions and Answers

**Number System Questions and Answers for Competitive placement exams**

On this page we are going to discuss Number System Questions with Solutions, with basic definition and practice examples.

Definition
When certain symbols or digits are used to represent the numbers themselves, it forms a number system. It provides a set of symbols and rules for expressing numerical quantities.

## Number system Questions with solution

**Important definitions for solving Number System Questions:**

**Natural Numbers:**All positive integers are called natural numbers. All counting numbers from 1 to infinity are natural numbers. N = {1, 2, 3, 4, 5, 6……..∞}**Whole Numbers:**The set of numbers that includes all natural numbers and the number zero are called whole numbers. They are also called as Non-negative integers. W = { 0,1,2,3,4,5,6,7,8,………∞}**Integers:**All numbers that do not have the decimal places in them are called integers. Z = {∞…….-3, -2, -1, 0, 1, 2, 3………∞}**Real Numbers:**All numbers that can be represented on the number line are called real numbers.**Rational Numbers:**A rational number is defined as a number of the form a/b where ‘a’ and ‘b’ are integers and b ≠ 0. The rational numbers that are not integers will have decimal values. These values can be of two types**Irrational Numbers:**It is a number that cannot be written as a ratio.An Irrational numbers are non-terminating and non-periodic fractions.

**Formulas to solve Questions**

Expression | Formula |
---|---|

a^{m} * a^{n} | a^{m+n} |

(a^{m}n) | a^{mn} |

a^{m}/a^{n} | a^{m-n} |

a^{m} * b^{m} | (ab)^{m} |

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## Number System questions with solution

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## Numbers

- HCF and LCM – Questions Formulas | How to Solve Quickly | Tricks & Shortcuts
- Number System – Questions | Formulas | How to Solve Quickly | Tricks & Shortcuts
- Number Decimals & Fractions – Questions | Formulas | How to Solve Quickly | Tricks & Shortcuts
- Surds and Indices – Questions | Formulas | How to Solve Quickly | Tricks & Shortcuts
- Divisibility – Questions | Formulas | How to Solve Quickly | Tricks & Shortcuts
- Ages – Questions | Formulas | How to Solve Quickly | Tricks & Shortcuts
- LCM – Questions | Formulas | How to Solve Quickly | Tricks & Shortcuts
- HCF – Questions | Formulas | How to Solve Quickly | Tricks & Shortcuts
- Inverse – Questions | Formulas | How to Solve Quickly | Tricks & Shortcuts

- HCF and LCM –

Questions

Formulas |

How to Solve Quickly |

Tricks & Shortcuts - Number Decimals & Fractions –

Questions |

Formulas |

How to Solve Quickly |

Tricks & Shortcuts - Surds and Indices-

Questions |

Formulas |

How to Solve Quickly |

Tricks & Shortcuts - Divisibility –

Questions |

Formulas |

How to Solve Quickly |

Tricks & Shortcuts - Ages –

Questions |

Formulas |

How to Solve Quickly |

Tricks & Shortcuts

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