Home
Class 14
MATHS
If m and n are positive integers and (m ...

If m and n are positive integers and (m – n) is an even number, then `(m^(2) - n^(2))` will be always divisible by

A

odd

B

even

C

`(n - 1)`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • FUNDAMENTALS

    ARIHANT SSC|Exercise FINAL ROUND|116 Videos

  • FUNDAMENTALS

    ARIHANT SSC|Exercise TEST OF YOU - LEARNING - 1|40 Videos

  • FUNDAMENTALS

    ARIHANT SSC|Exercise LEVEL 1|140 Videos

  • FUNCTIONS AND GRAPH

    ARIHANT SSC|Exercise Final Round|40 Videos

  • GEOMETRY

    ARIHANT SSC|Exercise EXERCISE(LEVEL 2)|52 Videos

Similar Questions

Explore conceptually related problems

If m and n are +ve integers and ( m-n) is an even number , then (m^(2) - n^(2)) will be always divisible by.

If n is any even number, then n(n^(2)+20) is always divisible by

If n is an integer, then (n^(3) - n) is always divisible by :

If m and n are two integers such that m = n^(2) - n , then (m^(2) - 2m) is always divisible by

If m and n are positive integers more than or equal to 2, mgtn , then (mn)! is divisible by

ARIHANT SSC-FUNDAMENTALS -LEVEL 2
  1. p,q,r are the decimal numbers (e.g. 5.8) and [x] means the greatest in...

    Text Solution

    |

  2. If p,q,r be integers such that p^2 = q^2.r then :

    Text Solution

    |

  3. If m and n are positive integers and (m – n) is an even number, then (...

    Text Solution

    |

  4. If 1 + 2 + 3 + …+ k = N^2 and N is less than 100 then the value of k c...

    Text Solution

    |

  5. if a and b are two odd distinct prime numbers and if a > b then a^2 -...

    Text Solution

    |

  6. The G.M. of two positive numbers is 35 and the A.M. of the same number...

    Text Solution

    |

  7. When a number is divided by 1,2,3,4,5, .... ,(n-1), n individually it ...

    Text Solution

    |

  8. Four consecutive even numbers are such that 3 times of the first numbe...

    Text Solution

    |

  9. In the morning batch at Lamamia we have observed that when five-five s...

    Text Solution

    |

  10. When (m/n) = 25(n/m), Then the value of m : n is :

    Text Solution

    |

  11. Which one of the following is greatest one?

    Text Solution

    |

  12. The product of any two integers is 25, then the minimum possible sum i...

    Text Solution

    |

  13. If 4 le p le 5 and -10 le q le -9, then the least value is given by th...

    Text Solution

    |

  14. The remeainder obtained when 1! + 2! + 3! + … + 77! is divided by 7 i...

    Text Solution

    |

  15. The remainder left out when 8 2n −(62) 2n+1 is divided by 9 is

    Text Solution

    |

  16. A typist starts to type the serial numbers of candidates in a list, up...

    Text Solution

    |

  17. If a,b,c,d,e,f are sequentially the terms of an A.P. belong to set {1,...

    Text Solution

    |

  18. Total number of factors of a greatest possible number which when divid...

    Text Solution

    |

  19. The set of values of x for which |(x - 5)x| > 0 is :

    Text Solution

    |

  20. The sum of four prime numbers of two digits is 204. The sum of the fir...

    Text Solution

    |