Home
Class 12
MATHS
If P is a prime number and P divides ab ...

If P is a prime number and P divides ab i.e., `(p)|(ab),` where a and b are integers, then

A

`(P)|(a) or (P)|(b)`

B

`(P)/(a+b)`

C

`(P)/(a-b)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • NUMBER SYSTEM

    ARIHANT PUBLICATION BIHAR|Exercise EXAM BOOSTER (FOR CRACKING EXAM)|25 Videos

  • MODEL SOLVED PAPER 2020

    ARIHANT PUBLICATION BIHAR|Exercise Section III Mathematics|30 Videos

  • QUADRATIC EQUATIONS

    ARIHANT PUBLICATION BIHAR|Exercise EXAM BOOSTER (FOR CRACKING EXAM)|25 Videos

Similar Questions

Explore conceptually related problems

If P is a prime number and P divides ab i.e., P|(ab) where a and b are integers, then

Theorem 1.3 : Let p be a prime number. If p divides a2 , then p divides a, where a is a positive integer.

The contra-positive of the statement, "If x is a prime number and x divides ab then x divides a or x divides b", can be symbolically represented using logical connec- tives, on appropriately defined statements p, q, r, s, as

If p is a prime number,then LCM of p and (p+1) is

If two positive integers m and n are expressible as as m = ab^(2) and n = a^(3) b , where a and b are prime numbers, then find LCM (m, n)

If two positive integers p and q can be expressed as p=ab^2 and q=a^3b where a and b are prime numbers, then the LCM (p,q) is

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

Given L.C.M.of three natural numbers a,b,c is 1000 and if the possible number of ordered triplets (a,b,c) is p^(2), where p is a prime number,then find the value of p

If a, x, y, z, b are in A.P., then value of xyz is 35/3 and if a, x, y, z, b are in H.P., then value of xyz is 75/7, where a and b are given positive integers. Then value of (ab) is

If M is even prime number,N is least prime number of two digits & P is greatest prime number of two digits, then (P+N)/(M) is dividible by-

ARIHANT PUBLICATION BIHAR-NUMBER SYSTEM-EXAM BOOSTER (FOR CRACKING EXAM)
  1. If the numbers x, 2 x + 3 are the primes, then x is equal to

    Text Solution

    |

  2. If sqrt(2^(n))=16, then the value of n is

    Text Solution

    |

  3. Which one of the following is a correct statement?

    Text Solution

    |

  4. If any two irrational numbers are added, then which of the following ...

    Text Solution

    |

  5. If x , y ,z are positive real numbers show that: sqrt(x^(-1)y)dotsqrt(...

    Text Solution

    |

  6. In between two rational numbers, there are

    Text Solution

    |

  7. If a is an even positive integer and b is an odd positive integer, th...

    Text Solution

    |

  8. Consider the following statement I. The set of positive powers of 2...

    Text Solution

    |

  9. A prime number greater than 11 will never end with

    Text Solution

    |

  10. If P is a prime number and P divides ab i.e., (p)|(ab), where a and b ...

    Text Solution

    |

  11. 2 sqrt3 is

    Text Solution

    |

  12. Fill in the blanks: The square of an odd number is ……….

    Text Solution

    |

  13. If r is a non-zero rational number and x is an irrational number, the...

    Text Solution

    |

  14. If n is a natural number, then sqrtn is

    Text Solution

    |

  15. If a, b and c are real numbers, such that a lt b and c lt 0, then of ...

    Text Solution

    |

  16. 235.235235235... is a/an

    Text Solution

    |

  17. The value of a and b in 3 (7)/axxb(3)/15 = 8 is equal to

    Text Solution

    |

  18. The periodic decimal 0.272727... = 0.bar(27) is the rational number

    Text Solution

    |

  19. Consider the following statements I. If x and y are composite integ...

    Text Solution

    |

  20. Which one of the following is a prime number?

    Text Solution

    |