Home
Class 14
MATHS
The remainder R when 3^(37)+4^(37) is di...

The remainder R when `3^(37)+4^(37)` is divided by 7 is :

A

0

B

1

C

`2 lt R lt 6`

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
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

The remainder when 2^(30)*3^(20) is divided by 7 is :

The remainder when 75^(75^(75)) is divided by 37 :

The remainder when 7^(7^(7)) is divided by 9 is

Find the remainder when (3)^(555) is divided by 7.

The remainder when (75^75)^75 is divided by 37 :

The remainder when 7^(403) is divided by 100 is (A) 29(B)73 (C) 43 (D) 37

What is the remainder when 4^(1012) is divided by 7 ?

QUANTUM CAT-NUMBER SYSTEM-QUESTION BANK
  1. If (x-5)(y+6)(z-8) = 1331, the minimum value of x+y+z is :

    Text Solution

    |

  2. If x+y+z = 21, the maximum value of (x-6)(y+7)(z-4) is :

    Text Solution

    |

  3. The remainder R when 3^(37)+4^(37) is divided by 7 is :

    Text Solution

    |

  4. 7^(74) - 4^(74) is divisible by :

    Text Solution

    |

  5. The factorial of a number n is exactly divisible by (2^(11) xx 11^2) ...

    Text Solution

    |

  6. The number of zeros at the end of the product of : 2^3xx3^4xx4^5xx5^...

    Text Solution

    |

  7. A nine digit number abcdefght is such that a is divisible by 1, ab is...

    Text Solution

    |

  8. If Minimum (x,y,z) = Minimum of (xy, yz, zx) Maximum (x,y,z) = Maxi...

    Text Solution

    |

  9. If Minimum (x,y,z) = Minimum of (xy, yz, zx) Maximum (x,y,z) = Maxi...

    Text Solution

    |

  10. If Minimum (x,y,z) = Minimum of (xy, yz, zx) Maximum (x,y,z) = Maxi...

    Text Solution

    |

  11. When (55)(10) represented in base 25 then the expression is

    Text Solution

    |

  12. For (P,Q)gt0 the number 340 PQQ is divisible by both 3 and 8 then the ...

    Text Solution

    |

  13. A typist while typing the numbers from 600 to 799 mistakenly he typed...

    Text Solution

    |

  14. If p and q are two distinct inegers such that p^2 - pq = 0 then we can...

    Text Solution

    |

  15. In a survey it was found that YTC sells the cigarettes of Rs. 15990 pe...

    Text Solution

    |

  16. If 5n + 12 < 50, when n in N, then the value of n which satisfies the ...

    Text Solution

    |

  17. If A and B are divided by D, then the remainder obtained are 13 and 31...

    Text Solution

    |

  18. The unit of N^(2p) and (N)^((2p - 1)) are 6 and 4 respectively. The gr...

    Text Solution

    |

  19. If f(x) = x^3 + 3x^2 - 4x then f(x + 1) is :

    Text Solution

    |

  20. If a + b = n , n in I and ab = 60 then n cannont be equal to :

    Text Solution

    |