Home
Class 12
MATHS
If 'P' is a prime number such that p ge ...

If 'P' is a prime number such that `p ge 23` and `n+ p! + 1 ` , then the number of primes in the list `n+ 1, n+2 , ….. , n+p-1` is

A

0

B

1

C

2

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MODEL TEST PAPER 4

    KCET PREVIOUS YEAR PAPERS|Exercise Mathematics|60 Videos
  • MODEL TEST PAPER 6

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

If p prime number, then prove that sqrt(p) is irrational ?

If p and q are prime numbers satisfying the condution p^(2)-2q^(2)=1 , then the value of p^(2)+2q^(2) is

If P (n) : ''2^(2n)-1 is divisible by for all n in N'' is true , then the value of 'k' is

Number of ways in which three numbers in A.P. can be selected from 1,2,3,..., n is

If A_1, A_2, …, A_n are n independent events, such that P(A_i)=(1)/(i+1), i=1, 2,…, n , then the probability that none of A_1, A_2, …, A_n occur, is

The number of proper divisors of 2^(p)*6^(q)*21^(r),AA p,q,r in N , is

Draw the circuit symbol of n-p-n transistor

if p_(1) and p_(2) are odd prime numbers such that p_(1)gtp_(2) then P_(1)^(2) - P_(2)^(2) is always

If ,^(n) P_r=^n P_(r+1) and ^n C_r=^n C_(r-1,) then the value of n+r is.

lf n! , 3xxn! and (n+1)! are in G P, then n!, 5 x n! and (n+1)! are in

KCET PREVIOUS YEAR PAPERS-MODEL TEST PAPER 5-Mathematics
  1. If a gt 0, b gt 0 and c gt 0 , then both the roots of the equations ax...

    Text Solution

    |

  2. If m+ np2 = 90 and m-np2 = 30 , then (m,n) is given by

    Text Solution

    |

  3. If 'P' is a prime number such that p ge 23 and n+ p! + 1 , then the n...

    Text Solution

    |

  4. If the product of 'n' positive numbers is unity, then their sum is

    Text Solution

    |

  5. A determinant is chosen at random from a set of all determinants of or...

    Text Solution

    |

  6. The expression ((a+b+c)(b+c-a)(c+a-b)(a+b-c))/(4b^2 c^2) for a triang...

    Text Solution

    |

  7. The value of cos( 1/2 cos^(-1)"" 1/8) is equal to

    Text Solution

    |

  8. If the base of an isosceles triangle is of length '2a' and the length ...

    Text Solution

    |

  9. PQ is double ordinate of the hyperbola x^2//a^2 - y^2//b^2 =1 such tha...

    Text Solution

    |

  10. If phi(x) = int(1//x)^(sqrtx) sin(t^2) dt, then phi'(1) is equal to

    Text Solution

    |

  11. If int cosex 2x dx = f(g(x)) + c , then

    Text Solution

    |

  12. If y=e^(4x) + 2e^(-x) satisfies the relation y3 + Ay1 + By = 0 then

    Text Solution

    |

  13. Let veca = 2hati + hatj -hatk , vecb = hati + 2hatj - hatk , and vecc...

    Text Solution

    |

  14. One diameter of the circle circumscribing the rectangle ABCD is 4y= x+...

    Text Solution

    |

  15. P is a point on the given curve such that the normal at P to the curve...

    Text Solution

    |

  16. If 4a^2 + 9b^2 - c^2 + 12ab=0 , then the family of straight lines ax +...

    Text Solution

    |

  17. If the circle x^(2)+y^(2)=a^(2) intersects the hyperbola xy=c^(2) in f...

    Text Solution

    |

  18. Let a=(1//3) (-hati + 2hatj + 2hatk), then

    Text Solution

    |

  19. F(X)= {{:(|x-2|+a ,"for "x lt 2),(b-|x-2|, "for "x ge 2):}} then

    Text Solution

    |

  20. The conic given by y^2 + 8x - 12y + 20 =0

    Text Solution

    |