Home
Class 14
MATHS
If m^n - n^m = (m + n), (m, n) in prime ...

If `m^n - n^m = (m + n), (m, n) in` prime numbers, then what can be said about m and n:

A

m, n are only even integers

B

m, n are only odd integers

C

m is even and n is odd

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • MENSURATION

    QUANTUM CAT|Exercise QUESTION BANK|449 Videos
  • PERCENTAGES

    QUANTUM CAT|Exercise QUESTION BANK|271 Videos

Similar Questions

Explore conceptually related problems

If m^(n)-n^(m)=(m+n),(m,n)in prime numbers,then that can be said about m and n :

If two positive integers 'm' and 'n' can be expressed as m=ab^(2) and n=a^(3)b, a,b being prime numbers, then find L.C.M. (m, n).

If m% of m + n % of n = 2 % of (m xx n) , then what percentage of m is n?

If two positive integers m and n are expressible as as m = ab^(2) and n = a^(3) b , where a and b are prime numbers, then find LCM (m, n)

If m is the number of prime numbers between 0 and 50, and n is the number of prime numbers between 50 and 100, then what is ( m-n) equal to ?

QUANTUM CAT-NUMBER SYSTEM-QUESTION BANK
  1. If p+1/P=q then for p gt 0 :

    Text Solution

    |

  2. If a^b = b^a, (a != b) > 1, then the value of (a div b) is :

    Text Solution

    |

  3. If m^n - n^m = (m + n), (m, n) in prime numbers, then what can be said...

    Text Solution

    |

  4. There is unique 3 digit number which is cube of a natural number, if w...

    Text Solution

    |

  5. The give expression n^4 - n^2 is divisible by for n in I^+ and n > 2:

    Text Solution

    |

  6. If a, b represents two distinct positive integers and thus (aa)^b = ab...

    Text Solution

    |

  7. At out training institute we have p - 1, p - 2, p - 3 and p - 4 proces...

    Text Solution

    |

  8. (392)^n-(392)^(n-1) is not divisible by :

    Text Solution

    |

  9. Mr. Chaalu while travelling by Ferry Queen has travelled the distance ...

    Text Solution

    |

  10. A person starts typing the numbers from 1 to 1999. He press the keys ...

    Text Solution

    |

  11. The remainder when (20)^(23) is divided by 17 is :

    Text Solution

    |

  12. Let p be a prime number such that 3 lt p lt 50, then p^2-1 is:

    Text Solution

    |

  13. If p be a prime number, then p^2 + 1 can not have its unit digit is :

    Text Solution

    |

  14. The number of numbers from 1 to 200 which are divisible by neither 3 n...

    Text Solution

    |

  15. P is a prime number and (p^2+3) is also a prime number. Find the numbe...

    Text Solution

    |

  16. In a bangle shop, the shopkeeper displays the bangles in the form of a...

    Text Solution

    |

  17. If a and b are two integers which are multiples of 5, which of the fol...

    Text Solution

    |

  18. What are the values of the digits a and b, respectively, in the number...

    Text Solution

    |

  19. A six digit number of the form abcabc is written where a, b, c in I^(+...

    Text Solution

    |

  20. Two numbers a and b are such that one is odd and the other is even. Wh...

    Text Solution

    |