Home
Class 14
MATHS
If N^(2)-33, N^(2)-31 and N^(2)-29 are p...

If `N^(2)-33, N^(2)-31 and N^(2)-29` are prime numbers, then what is the number of possible values of N, where N is an integer?

A

1

B

2

C

6

D

None of these

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • MIXTURE

    GAGAN PRATAP |Exercise Questions|54 Videos
  • PARTNERSHIP

    GAGAN PRATAP |Exercise Multiple Choice Questions|41 Videos

Similar Questions

Explore conceptually related problems

If N,(N+2) and (N+4) are prime numbers, then the number of possible solutions for N are

Let P(n): n^(2)-n+41 is a prime number, then

If n^(2)+2n -8 is a prime number where n in N then n is

Is 2^(3-n) a prime number for all natural numbers n?

If roots of the quadratic equation x^(2) + Nx - 444N=0 are integers and N is a prime number then number of possible values of N is

Let S_(n)=n^(2)+20n+12 n a positive integer. What is the sum of all possible values of n for which S_(n) is a perfect square?

If n in N such that characteristic of n^2 to the base 8 is 2 , then number of possible values of n is

Given that N = 2^(n)(2^(n+1) -1) and 2^(n+1) - 1 is a prime number, which of the following is true, where n is a natural number.

The sum of the first n terms (n>1) of an AP is 153 and the common difference is 2. If the first term is an integer,then what is the number of possible values of n.

GAGAN PRATAP -NUMBER SYSTEM-Multiple Choice Questions
  1. All odd prime numbers upto 110 are multiplied together. What is the un...

    Text Solution

    |

  2. What is the value of x for which x, x+1,x+3 are all prime numbers?

    Text Solution

    |

  3. If N^(2)-33, N^(2)-31 and N^(2)-29 are prime numbers, then what is the...

    Text Solution

    |

  4. The sum of three prime numbers is 100. If one of them exceeds another...

    Text Solution

    |

  5. Consider the following statements : 1. Of two consecutive integers,...

    Text Solution

    |

  6. Which one of the following rational numbers has non-terminating and re...

    Text Solution

    |

  7. Consider the following statements in respect of two integers p and q (...

    Text Solution

    |

  8. 'AB' is 2 digit prime number where A is not equal to B, if digits are ...

    Text Solution

    |

  9. If m is the number of prime numbers between 0 and 50, and n is the num...

    Text Solution

    |

  10. Three numbers which are co-prime to each other, are such that the prod...

    Text Solution

    |

  11. x, y and z are prime numbers and x+y+z = 38. What is the maximum value...

    Text Solution

    |

  12. N is the smallest three digit prime number. When N is divided by 13. T...

    Text Solution

    |

  13. Theere are four prime numbers written in ascending order. The product ...

    Text Solution

    |

  14. How many pairs of natural numbers are there such that the difference o...

    Text Solution

    |

  15. How many pairs (m, n) of positive integers satisfy the equation m^(2) ...

    Text Solution

    |

  16. Suppose n is a positive integer such that (n^2 + 48) is a perfect squa...

    Text Solution

    |

  17. What is the sum of all integer values of n for which n^2 + 19n +92 is ...

    Text Solution

    |

  18. If the sum of the digits of a number 10^(n) - 1, where n is a natural...

    Text Solution

    |

  19. The sum of two positive numbers is 14 and difference between their squ...

    Text Solution

    |

  20. If the difference between two numbers is 6 and the difference between ...

    Text Solution

    |