Home
Class 12
MATHS
p is a prime number and n<p<2ndot If N=^...

`p` is a prime number and `n

A

p divides N

B

`p^(2)` divides N

C

p cannot divides N

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • DEFINITE INTEGRATION & ITS APPLICATION

    RESONANCE|Exercise High Level Problem|37 Videos
  • EQUATIONS

    RESONANCE|Exercise EXERCISE-2 (PART-II: PREVIOUSLY ASKED QUESTION OF RMO) |7 Videos

Similar Questions

Explore conceptually related problems

p is a prime number and (2+3) s also a prime number.The number of numbers that p can assume is

Statement-I: The exponent of 3 in 100! is 48 . Statement-II: If n is a t ve integer and p is a prime number then exponent is [(n)/(p)]+[(n)/(p^(2))]+[(n)/(p^(3))]+...

If P_(1),P_(2),P_(3) are prime numbers and m,n, rare positive integers such that LCM(m,n,r)P_(1),P_(2)^(2)P_(3)^(3) and GCD(m,n,r)=P_(1)P_(2)P_(3) Then number of possible triplets of (m,n,r) are

If 25 -= 4 (mod p), where p is a prime number, then p is_________.

If 37 -= 18 (mod p), where p is a prime number then find p.

Let f(x)=[n+p sin x],x in(0,pi),n in Z,p a prime number and [x]= the greatest integer less than or equal to x.The number of points at which f(x) is not not differentiable is:

Write the contrapositive of the statement : "If n is a prime number, then n is even".

Statement-1: the highest power of 3 in .^(50)C_(10) is 4. Statement-2: If p is any prime number, then power of p in n! is equal to [n/p]+[n/p^(2)]+[n/p^(3)] + . . ., where [*] denotes the greatest integer function.

RESONANCE-DPP-QUESTION
  1. The figure shows a rectangle ABCD with a semi-circle and a circle insc...

    Text Solution

    |

  2. If sum(r=0)^(2n) a(r)(x-1)^(r) = sum(r=0)^(2n) b(r)(x-2)^(r) and b(r) ...

    Text Solution

    |

  3. p is a prime number and n<p<2ndot If N=^(2n)Cn , then p dividesN b. p...

    Text Solution

    |

  4. The sum of the greatest and the smallest term in (x+12)^(21) is zero t...

    Text Solution

    |

  5. the continued product 2.6.10.14.... to n factors is equal to ^2n pn ...

    Text Solution

    |

  6. The solution of |x^2+3x|+x^2-2>=0 is

    Text Solution

    |

  7. Which of the following equations have no real solutions ?

    Text Solution

    |

  8. The solution set satisfying the inequality,sqrt(21-4a-a^2)/(a+1)<=1

    Text Solution

    |

  9. The co-efficient of x in the expansion of (1-x+2x^2)^11 is

    Text Solution

    |

  10. If (1+x)^(n) = c(0) + C(1)x+C(2)x^(2)+"….."+X(n)x^(n), m ge 2 C(0) -...

    Text Solution

    |

  11. Solve the equation: |x+1|-|x|+3|x-1|-2|x-2|=x+2

    Text Solution

    |

  12. Solve the following |(x^2+2x+2)+(3x+7)|<|x^2+2x+2|+|3x+7|

    Text Solution

    |

  13. |x^(2) -1|+|x^(2) - 4|le 3

    Text Solution

    |

  14. Number of non-empty subsets {1,2,3,4,5,6,7,8} having exactly k element...

    Text Solution

    |

  15. If the expansion in powers of x of the function 1//[(1-a x)(1-b x)] is...

    Text Solution

    |

  16. If x is so small that x^3 and higher powers of x may be neglectd, then...

    Text Solution

    |

  17. The sum of the series sum(r=1)^(n) (-1)^(r-1).""^(n)C(r)(a-r), n gt 1 ...

    Text Solution

    |

  18. sum(k=1)^(360)((1)/(ksqrt(k+1)+(k+1)sqrt(k))) is the ratio of two rela...

    Text Solution

    |

  19. Number of ways in which 3 tickets can be selected from a set of 500 ...

    Text Solution

    |

  20. Sum of all the 4-digit numbers which can be formed using the digits 0,...

    Text Solution

    |