Home
Class 14
MATHS
7^(6n)-6^(6n), where n is an integer > 0...

`7^(6n)-6^(6n),` where n is an integer > 0, is divisible by 13 (b) 127 (c) 559 (d) All of these

A

13

B

127

C

559

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • NUMBER SYSTEM

    ARIHANT SSC|Exercise EXERCISE BASE LEVEL QUESTIONS|34 Videos

  • NUMBER SYSTEM

    ARIHANT SSC|Exercise HIGHER SKILL LEVEL QUESTIONS|43 Videos

  • NUMBER SERIES

    ARIHANT SSC|Exercise HIGHER SKILL LEVEL QUESTIONS|45 Videos

  • PARTNERSHIP

    ARIHANT SSC|Exercise EXERCISE HIGHER SKILL LEVEL QUESTIONS|16 Videos

Similar Questions

Explore conceptually related problems

If n even,(6^(n)-1) is divisible by 6 (b) 30 (c) 35 (d) 37

If n is any positive integer,3^(4n)-4^(3n) is always divisible by 7 (b) 12 (c) 17 (d) 145

If n is a natural number,then 9^(2n)-4^(2n) is always divisible by 5 (b) 13 (c) both 5 and 13 (d) none of these

The number 6n^(2)+6n for natural number n is always divisible by 6 only (b) 6 and 12(c)12 only (d) 18 only

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

AA n in N,7.5^(2n)+12.6^(n) is divisible by

If cot^(-1)(n)/(pi)>(pi)/(6),n in N, then the maximum value of n is 6(b)7 (c) 5 (d) none of these

ARIHANT SSC-NUMBER SYSTEM-HIGHER SKILL LEVEL QUESTIONS
  1. 7^(6n)-6^(6n), where n is an integer > 0, is divisible by 13 (b) 1...

    Text Solution

    |

  2. Find the sum of first 25 natural numbers.

    Text Solution

    |

  3. Findd the sum of the squares of first 35 natural numbers.

    Text Solution

    |

  4. Find the sum of the cubes of first 15 natural numbers.

    Text Solution

    |

  5. Find the sum of first 37 odd numbers.

    Text Solution

    |

  6. Find the sum of first 84 even numbers.

    Text Solution

    |

  7. Sum of first 15 multiples of 8 is

    Text Solution

    |

  8. The product of four consecutive natural numbers plus one is

    Text Solution

    |

  9. Find the unit digit in the product of (268xx539xx826xx102).

    Text Solution

    |

  10. Find the unit digit in the product of (4326xx5321).

    Text Solution

    |

  11. What is the unit digit of in (6817)^(754)?

    Text Solution

    |

  12. What is the unit digit in

    Text Solution

    |

  13. Find the last two-digits of 15xx37xx63xx51xx97xx17 (a)35 (b) 45 (c) 5...

    Text Solution

    |

  14. How many rational numbers are there between 1 and 1000?

    Text Solution

    |

  15. The sum of 5 consecutive even numbers A,B,C,D and E is 130. What is th...

    Text Solution

    |

  16. The sum of the five consecutive numbers is equal to 170. What is the p...

    Text Solution

    |

  17. Which of the following numbers always divides the difference between ...

    Text Solution

    |

  18. A number divided by 56 gives 9 as remainder. If the same number is div...

    Text Solution

    |

  19. [ On dividing a certain number by 357 ,the remainder is 39. On dividin...

    Text Solution

    |

  20. A number when divided by 5 leaves the remainder 3. What is the rema...

    Text Solution

    |

  21. In doing a question of division with zero remainder, a candidate to...

    Text Solution

    |