Home
Class 12
MATHS
2^(3n)-7n-1 is divisible by...

`2^(3n)-7n-1` is divisible by

A

64

B

36

C

49

D

25

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUESTION-PAPERS-2013

    BITSAT GUIDE|Exercise Mathematics |45 Videos

  • QUESTION-PAPERS-2015

    BITSAT GUIDE|Exercise MATHEMATICS|45 Videos

Similar Questions

Explore conceptually related problems

Using binomial theorem,prove that 2^(3n)-7^(n)-1 is divisible by 49, where n in N

For all n in N,2^(4n)-15n-1 is divisible by

(3^(3n)-26n-1), is divisible by (26),n<=2

For each n in N , 2^(3n) - 1 is divisible by

For all n in N , 4^(n)-3n-1 is divisible by

For all n in N, 7^(2n)-48n-1 is divisible by

Using the principle of mathematical induction, prove that (2^(3n)-1) is divisible by 7 for all n in N

BITSAT GUIDE-QUESTION-PAPERS-2014-MATHEMATICS
  1. cos^2 (pi/6 + theta) - sin^2 (pi/6 - theta) =

    Text Solution

    |

  2. The solution of (2 cos x – 1) (3 + 2 cos x) = 0 in the interval 0 lt= ...

    Text Solution

    |

  3. 2^(3n)-7n-1 is divisible by

    Text Solution

    |

  4. The greatest positive integer, which divides n(n+1)(n+2)(n+3) for all ...

    Text Solution

    |

  5. z=x+iy,z^(1/3)=a-ib,(x)/(a)-(y)/(b)=k(a^(2)-b^(2)) then k is :

    Text Solution

    |

  6. i^(57) + 1// i^(125) , when simplified has the value

    Text Solution

    |

  7. The complex number z =x+iy which satisfies the equation | ( z - 3i )/(...

    Text Solution

    |

  8. The number of all three elements subsets of the set {a1, a2, a3 ….an} ...

    Text Solution

    |

  9. In how many ways can a committee of 5 made out 6 men and 4 women conta...

    Text Solution

    |

  10. Find the coefficient of x^(4) in the expansion of (1+x+x^(2)+x^(3))^(1...

    Text Solution

    |

  11. If t0,t1, t2,...,tn are the terms in the expansion of (x+a)^n then pro...

    Text Solution

    |

  12. If the (2p)^(th) term of a H.P. is q and the (2q)^(th) term is p, then...

    Text Solution

    |

  13. If 1/a, 1/b,1/c are in A.P., the (1/a + 1/b - 1/c) ( 1/b+1/c-1/a) is ...

    Text Solution

    |

  14. The product of n positive numbers is unity. Then their sum is:

    Text Solution

    |

  15. If p(1) and p(2) are the lengths of the perpendicular form the orgin t...

    Text Solution

    |

  16. The angle of intersection of the two circles x^2 + y^2 - 2x - 2y = 0 a...

    Text Solution

    |

  17. In a model, it is shown that an arc of a bridge in semi-elliptical wit...

    Text Solution

    |

  18. lim(x rarr 0) (cosec x )^(1//"log"x) is equal to

    Text Solution

    |

  19. If M. D. is 12, the value of S.D. will be

    Text Solution

    |

  20. A bag contains 5 brown and 4 white socks. A man pulls out 2 socks. Fin...

    Text Solution

    |