Home
Class 14
MATHS
The difference between the squares of an...

The difference between the squares of any two consecutive integers is equal to an even number             (b) difference of given numbers (c) sum of given numbers    (d) product of given numbers

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • LOGARITHMS

    RS AGGARWAL|Exercise All Questions|105 Videos

  • ODD MAN OUT AND SERIES

    RS AGGARWAL|Exercise All Questions|81 Videos

Similar Questions

Explore conceptually related problems

The difference between the square of any two consecutive integers is equal to (a) sum of two numbers (b) difference of two numbers (c) an even number (d) product of two numbers

The difference between the squares of two consecutive numbers is 31. Find the numbers.

The difference of the squares of two consecutive numbers is their sum.

The difference of the squares of two consecutive even numbers is 84. What is the sum of the two numbers

The sum of the squares of two consecutive even numbers is 244. Find the numbers.

The sum of the squares of two consecutive even numbers is 340. Find the numbers.

The sum of two consecutive triangular numbers is a square number.

The sum of the squares of two consecutive positive even numbers is 452. Find the numbers.

If the sum of two consecutive even numbers is 30, then the numbers are:

RS AGGARWAL-NUMBER SYSTEM-All Questions
  1. If n be any natural number then by which largest number (n^3-n) is ...

    Text Solution

    |

  2. If a and b are two odd positive integers, by which of the following...

    Text Solution

    |

  3. The difference between the squares of any two consecutive integers ...

    Text Solution

    |

  4. The number 6n^2+6n for natural number n is always divisible by 6 only...

    Text Solution

    |

  5. The difference of a number consisting of two digits and the number ...

    Text Solution

    |

  6. The sum of a number consisting of two digits and the number formed ...

    Text Solution

    |

  7. The largest natural number, which exactly divides the product of an...

    Text Solution

    |

  8. If n is a whole number greater than 1, then n^2(n^2-1) is always divis...

    Text Solution

    |

  9. If n is any odd number greater than 1, then n\ (n^2-1) is divisible b...

    Text Solution

    |

  10. The sum of digits of a 3-digit number is subtracted from the number...

    Text Solution

    |

  11. A number is multiplied by 11 and 11 is added to the product. If the...

    Text Solution

    |

  12. The product of any three consecutive natural numbers is always divis...

    Text Solution

    |

  13. The sum of three consecutive odd numbers is always divisible by I....

    Text Solution

    |

  14. The greatest number by which the product of three consecutive multi...

    Text Solution

    |

  15. If p is a prime number greater than 3, then (p^2-1) is always divisibl...

    Text Solution

    |

  16. The difference between the squares of two consecutive odd integers ...

    Text Solution

    |

  17. A 4-digit number is formed by repeating a 2-digit number such as 25...

    Text Solution

    |

  18. A 6-digit number is formed by repeating a 3-digit number: for examp...

    Text Solution

    |

  19. The sum of the digits of a natural number (10^n-1) is 4707, where n is...

    Text Solution

    |

  20. (x^n-a^n) is divisible by (x-a) for all values of n (b) only for even...

    Text Solution

    |