Home
Class 14
MATHS
The remainder when (75^75)^75 is divided...

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

A

A) 0

B

B) 1

C

C) 5

D

D) 7

Text Solution

Verified by Experts

The correct Answer is:
B
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 'R' when 3^(37)+ 4^(37) is divided by 7 is :

Find the remainder when 33! is divided by 37

Find the remainder when 73xx75xx78xx57xx197 is divided by 34.

A polynomial p (x) leaves remainders 75 and 15 , respectively , when divided by (x-1)and (x+2) . Then the remainder when f(x) is divided by (x-1)(x+2) is _______.

The remainder when 75 xx 73xx 78 xx 76 is divided by 34 is: शेष 75 xx 73xx 78 xx 76 को 34 से विभाजित किया गया है:

Each question has four options(A), (B), (C) and (D) for answers. Select the right answer and write in English letters in the box against each question in the enclosed answer sheet. A number, when divided by 296, gives 75 as the remainder. If the same number is divided by 37 then the remainder will be

A number when divided by 296 leaves 75 as remainder. If the same number is divided by 37, thé remainder obtained is

QUANTUM CAT-NUMBER SYSTEM-QUESTION BANK
  1. The largest possible number by which the product of any five consecuti...

    Text Solution

    |

  2. If x^2+y^2 = 25 and xy = 12, then the value of x^(-1)+y^(-1) is :

    Text Solution

    |

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

    Text Solution

    |

  4. Let p be a prime number strictly greater than 3. Then p^2+17 will leav...

    Text Solution

    |

  5. The unit digit of (12345k)^(72) is 6. The value of k is :

    Text Solution

    |

  6. What is the least number which must be subtracted from 369 to make it ...

    Text Solution

    |

  7. The product of two consecutive even numbers is 624 then one of the num...

    Text Solution

    |

  8. What is the remainder when 1719xx1715xx1713 is divided by 17?

    Text Solution

    |

  9. The quotient 12.5 is divided by 1/6 is :

    Text Solution

    |

  10. Kavita was supposed to multiply a natural number by 23. Instead, she m...

    Text Solution

    |

  11. In a fraction the denominator is 4 greater than numerator. If the nume...

    Text Solution

    |

  12. When the three numbers 104, 221 and 377 are divided by a number we get...

    Text Solution

    |

  13. If (ab^2)^(1//3) = 125 where a > b > 1 and (a , b^2) in N then the cor...

    Text Solution

    |

  14. If a five digit number 'm21 n2" is divisible by 24 then the maximum nu...

    Text Solution

    |

  15. If a fraction is divided by its reciprocal and then mltiplied by itsel...

    Text Solution

    |

  16. A perfect square less than 500 is such that when a prime number p1 is ...

    Text Solution

    |

  17. If (11)^a = (19)^b = (209)^c then the correct relation is:

    Text Solution

    |

  18. The remainder when ('(2)^(54)' -1) is divided by 9 is :

    Text Solution

    |

  19. A number 1 lt N lt 100 is such that it is a perfect square and perfect...

    Text Solution

    |

  20. The product of the digits of a three digit number which is perfect squ...

    Text Solution

    |