Home
Class 14
MATHS
The expression 2^(6n) - 4^(2n), where n ...

The expression `2^(6n) - 4^(2n)`, where n is a natural number is always divisible by

A

15

B

18

C

36

D

48

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MIXTURE

    GAGAN PRATAP |Exercise Questions|54 Videos
  • PARTNERSHIP

    GAGAN PRATAP |Exercise Multiple Choice Questions|41 Videos

Similar Questions

Explore conceptually related problems

The expression (n^(3)-n), where 'n' is any odd natural number is divisible by (A) 46.(B)8(C)24(D)16

5^(n)-1 is always divisible by (n in N)

If n is an odd natural number 3^(2n)+2^(2n) is always divisible by

n ( n+1) ( n+2) is always divisible by ?

Using the Principle of mathematical induction, show that 11^(n+2)+12^(2n-1), where n is a naturla number is a natural number is divisible by 133.

The product of n consecutive natural numbers is always divisible by

If n is a natural numbers then 25^(2n)-9^(2n) is always divisible by

For what least value of n where n is a natural number 5^n is divisible by 3?

A number of the form 8^(n) , where n is a natural number greater than 1, cannot be divisible by __________.

GAGAN PRATAP -NUMBER SYSTEM-Multiple Choice Questions
  1. The expression 5^(2n) - 2^(3n) has a factor

    Text Solution

    |

  2. (49)^(15)-1 is exactly divisible by:

    Text Solution

    |

  3. The expression 2^(6n) - 4^(2n), where n is a natural number is alway...

    Text Solution

    |

  4. If a and b are two odd positive integers. By which of the following in...

    Text Solution

    |

  5. The remainder when 3^21 is divided by 5 is

    Text Solution

    |

  6. If 17^(200) is divided by 18, the remainder is

    Text Solution

    |

  7. If (67^67 + 67) is divided by 68, the re- mainder is:

    Text Solution

    |

  8. If x is the remainder when 3^61284 is divided by 5 and y is the remain...

    Text Solution

    |

  9. (10^(1)+10^(2)+10^(3)------+10^(100))/(6) find R.

    Text Solution

    |

  10. Find the largest number, which exactly divides every number of the fro...

    Text Solution

    |

  11. A number when divided successively by 4 and 5 leaves remainders 1 and ...

    Text Solution

    |

  12. A number divided by 13 leaves a remainder 1 and if the quotient, th...

    Text Solution

    |

  13. Which of the following cannot be the unit digit of a perfect square nu...

    Text Solution

    |

  14. What is the unit digit of the sum of first 111 whole numbers

    Text Solution

    |

  15. The digit in unit's place of the product 81 xx 82 xx 83 xx... xx 89 is

    Text Solution

    |

  16. If the unit digit of (433 xx 456 xx 43N) is (N + 2), then what is the ...

    Text Solution

    |

  17. What is the unit digit of (217)^(413)xx(819)^(547)xx(414)^(624)xx(342)...

    Text Solution

    |

  18. What is the digit in the unit's place of the number represented by 3^9...

    Text Solution

    |

  19. Let x= (633)^24- (277)^38+ (266)^54. what is the unit digit of x? मा...

    Text Solution

    |

  20. If x=(164)^169+ (333)^337- (727)^726, then what is the unit digit of x...

    Text Solution

    |