Home
Class 12
MATHS
If in is a positive inteter D=|(n!,(n+1...

If in is a positive inteter `D=|(n!,(n+1)!,(n+2)!),((n+1)!,(n+2)!,(n+3)!),((n+2)!,(n+3)!,(n+4)!)|` then `D/((n!)^(3))-4` is divisible by

A

`n`

B

`n+1`

C

`n+2`

D

`n+3`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATRICES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1C MCQ (INVERSE MATRIX)|88 Videos
  • MATRICES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1D MCQ (LINEAR EQUATIONS)|53 Videos
  • MATRICES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1A MCQ (ALGEBRA OF MATRICES)|135 Videos
  • MATHEMATICAL REASONING [APPENDIX - 4]

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise|150 Videos
  • MEASURES OF DISPERSION

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE-2 ( SET -4)|2 Videos

Similar Questions

Explore conceptually related problems

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

AA n in N, n^(2) (n^(4) -1) is divisible by

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

If n is a positive integer then 2^(4n) - 15n - 1 is divisible by

If 'n' is a positive integer, then n.1+ (n-1) . 2+ (n-2). 3+….. + 1.n=

For every integer n ge 1, (3^(2n) -1) is divisible by

If n is a positive integer, prove that sum_(r=1)^(n)r^(3)((""^(n)C_(r))/(""^(n)C_(r-1)))^(2)=((n)(n+1)^(2)(n+2))/(12)

If n is a positive integer, prove that 1-2n +(2n(2n-1))/(2!) - (2n(2n-1) (2n-2))/(3!) +… + (-1)^(n-1) (2n(2n-1) …(n+2))/((n-1)!) = (-1)^(n+1) ((2n)!)/(2(n!)^(2))

DIPTI PUBLICATION ( AP EAMET)-MATRICES-EXERCISE 1B MCQ (DETERMINANTS)
  1. |(.^(x)C(r),.^(x)C(r+1),.^(y)C(r+2)),(.^(y)C(r),.^(x)C(r+1),.^(y)C(r+2...

    Text Solution

    |

  2. If n is a positive integer, then |(n!,(n+1)!,(n+2)!)),((n+1)!,(n+2)!,(...

    Text Solution

    |

  3. If in is a positive inteter D=|(n!,(n+1)!,(n+2)!),((n+1)!,(n+2)!,(n+3...

    Text Solution

    |

  4. If Delta(1)=|(1,a,bc),(1,b,ca),(1,c,ab)|,Delta(2)=|(1,a,a^(2)),(1,b,b^...

    Text Solution

    |

  5. If |(a(1),b(1),c(1)),(a(2),b(2),c(2)),(a(3),b(3),c(3))|=Delta, then |(...

    Text Solution

    |

  6. If Delta(1)=|(x,b,b),(a,x,b),(a,a,x)|, Delta(2)=|(x,b),(a,x)| then

    Text Solution

    |

  7. If D(1)=|(a,b,c),(d,e,f),(g,h,k)|,D(2)=|(a,g,x),(b,h,y),(c,k,z)| and d...

    Text Solution

    |

  8. If |(x(1),y(1),1),(x(2),y(2),1),(x(3),y(3),1)|=|(a(1),b(1),1),(a(2),b(...

    Text Solution

    |

  9. A and B be 3xx3 martrices. Then AB=0 implies

    Text Solution

    |

  10. Which of the following statement is not true?

    Text Solution

    |

  11. P.T the determinant of skew symmetric matrix of order 3 is zero.

    Text Solution

    |

  12. Which of the following is not tre? A is a square matrix. Then

    Text Solution

    |

  13. A and B are square matrices of order 3xx3, A is on orthogonal matrix a...

    Text Solution

    |

  14. If a="cos"(4pi)/3+I"sin"(4pi)/3,then |(1,1,1),(1,a,a^(2)),(1,a^(2),a)|...

    Text Solution

    |

  15. If x,y,z are all positive and are the pth, qth and rth terms of a geom...

    Text Solution

    |

  16. If a(1),a(2)…… form G.P and a(i)gt0,AAige1, then |(loga(m),loga(m+1),l...

    Text Solution

    |

  17. If a(1),a(2),…………..,a(n), ……… are in G.P and a(i)gt0 for each i then t...

    Text Solution

    |

  18. If a,b,c are pth, qth rth terms respectivelyy of a G.P then |(loga, p,...

    Text Solution

    |

  19. If a,b, c are pth, qt, rth terms of a H.P then |(bc,ca,ab),(p,q,r),(1,...

    Text Solution

    |

  20. If =sin px and y(n) is the nth derivative of y then |(y,y(1),y(2)),(y(...

    Text Solution

    |