Home
Class 12
MATHS
If 2(4^(2n+1))+3^(3n+1) is divisible by ...

If `2(4^(2n+1))+3^(3n+1)` is divisible by k, `kgt1` for all `ninN`, then the value of k is

A

19

B

17

C

11

D

13

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • ONLINE QUESTION PAPER

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise Mathematics|80 Videos

  • QUESTION PAPER 2015

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|78 Videos

Similar Questions

Explore conceptually related problems

4^(n) - 3n - 1 is divisible by 9

If y^(n) -1 is divisible by y+ a for all values of n in N , then a must by

AA n in , 7^(2n) + 3^(n-1) . 2^(3n-3) is divisible by

A) 49^(n) + 16n +1 is divisible by A ( n in N) B) 3^(2n) + 7 is divisible by B ( n in N) C) 4^(n ) - 3n -1 is divisible by C ( n in n) D) 3^( 3n ) - 26 n - 1 is divisible by D (n in N) then the increasing order of A, B, C, D is

Statement -1 : For all n in N, x^( 2n+1) +y^(2n+1) is divisible by x+y Statement-2: If n in N, n^(3) + 2n is divisible by 6 Which of the above statement is true :

Using the principle of Mathematical Induction, show that 2.4^(2n+1)+3^(3n+1) is divisible by 11, forall n in N

Let f : N to R be a function satisfying the following conditions: f(1) =1 and f(1) +2f( 2)+ 3 f(3) + ………n f(n )" " f(n ) = n (n+1) , f(n) "for " n ge 2 The value of f(1003) is (1)/(K) . Where K equals

Let f : N to R be a function satisfying the following conditions: f(1) =1 and f(1) +2f( 2)+ 3 f(3) + ………n f(n )" " f(n ) = n (n+1) , f(n) "for " n ge 2 The value of f(999) is (1)/(K) where K equals

TS EAMCET PREVIOUS YEAR PAPERS-ONLINE QUESTION PAPER 2018-MATHEMATICS
  1. If g(x)=x^(2)+x-2 and 1/2 gof (x)=2x^(2)-5x+2, then which is f(x)

    Text Solution

    |

  2. If f:RtoA defined by f(x)=1/(x^(2)+2x+2),AAx inR is surjective, then A...

    Text Solution

    |

  3. If 2(4^(2n+1))+3^(3n+1) is divisible by k, kgt1 for all ninN, then the...

    Text Solution

    |

  4. If A=[[0,-1],[1,0]], then the incorrect option among the following is

    Text Solution

    |

  5. If ane1,bne-1,cne-1 and the system of equations, x=a(y+z),y=b(z+x),z=c...

    Text Solution

    |

  6. The rank of the following matrix A is A=[[1,-2,3,-4],[2,9,4,5],[4,5,...

    Text Solution

    |

  7. If a complex number z satisfies |z|^(2)+1=|z^(2)-1|, then the locus of...

    Text Solution

    |

  8. If (z-i)/(z+1) is purely imaginary then the locus of z = x + iy is

    Text Solution

    |

  9. If a, b, c are non-zero real number with cne1 such that a^(2)+b^(2)+c^...

    Text Solution

    |

  10. For ninZ^(+), (1+sintheta+icostheta)^(n)+(1+sintheta-icostheta)^(n)=

    Text Solution

    |

  11. If the quadratic equation formed by eliminating x from x^(2)+alphax+be...

    Text Solution

    |

  12. If x is real, then the range of (x^(2)+2x+1)/(x^(2)+2x+7) is

    Text Solution

    |

  13. If [x] denotes the greatest integer not exceeding x, then the values o...

    Text Solution

    |

  14. If the equation whose roots are p times the roots of x^(4)-2ax^(3)+4bx...

    Text Solution

    |

  15. The number of three digit numbers in which 9 appears only in one place...

    Text Solution

    |

  16. ""^(34)C(10)+3*(""^(34)C(9))+3*(""^(34)C(8))+""^(34)C(7)=

    Text Solution

    |

  17. The coefficient of x^(50) in the expansion of (1+x)^(100)+2x(1+x)^(99)...

    Text Solution

    |

  18. If alpha=5/(2!xx3)+(5xx7)/(3!xx3^(2))+(5xx7xx9)/(4!xx3^(3))+...," then...

    Text Solution

    |

  19. If (x^(4)+24x^(2)+28)/((x^(2)+1)^(3))=A/((x^(2)+1))+B/((x^(2)+1)^(2))+...

    Text Solution

    |

  20. If tantheta=(cos25^(@)+sin25^(@))/(cos25^(@)-sin25^(@))andtheta is in ...

    Text Solution

    |