Home
Class 9
MATHS
If two positive integers p and q can be ...

If two positive integers p and q can be expression as `p=ab^2` and `q=a^3`,a,b being prime numbers than LCM(p,q) is

A

ab

B

`a^2b^2`

C

`a^3b^2`

D

`a^3b^2`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • POLYNOMIALS

    MODERN PUBLICATION|Exercise EXERCISE|247 Videos
  • NUMBER SYSTEMS

    MODERN PUBLICATION|Exercise EXERCISE|232 Videos
  • PROBABILITY

    MODERN PUBLICATION|Exercise EXERCISE|45 Videos

Similar Questions

Explore conceptually related problems

lf r, s, t are prime numbers and p, q are the positive integers such that their LCM of p,q is r^2 t^4 s^2, then the numbers of ordered pair of (p, q) is (A) 252 (B) 254 (C) 225 (D) 224

Let p(x) be a polynomial of degree 4 such that P(1)=P(3)=P(5)=P'(7)=0. If the real number ane1,3,5 is such that P(a)=0 can be expressed as a=(p)/(q) , where p and q are relatively prime, then (p-8q) is……….

If p and q are positive real numbers such that p^2+ q^2=1 , then the maximum value of (p +q) is :

Factorize the following expressions (p+q)^3-p-q

Factorize the following expressions p^2+pq(q+1)+q^3

Let a,b,c,d be positive real numbers with altbltcltd . Given that a,b,c,d are the first four terms of an AP and a,b,d are in GP. The value of (ad)/(bc) is (p)/(q) , where p and q are prime numbers, then the value of q is _____

Let S=sum_(r=1)^(117)(1)/(2[sqrtr]+1) , when [*] denites the greatest integer function and if S=(p)/(q) , when p and q are co-primes, the value of p+q is

If the resultannt of two forces of magnitudes P and Q acting at a point at an angle of 60^(@) is sqrt(7)Q , then P/Q is

Show that 0.3333... = 0.bar3 can be expressed in the form p/q , where p and q are integers and q ne 0 .

MODERN PUBLICATION-POLYNOMIALS-EXERCISE
  1. For some integer m, every even integer is of the form:

    Text Solution

    |

  2. For some integer q, every odd integer is of the form

    Text Solution

    |

  3. n^2-1 is divisible by 8, if n is

    Text Solution

    |

  4. If the HCF of 65 and 117 is expressible in the form 65m-117, then the ...

    Text Solution

    |

  5. The largest number which divides 70 and 125, leaving remainders 5 and ...

    Text Solution

    |

  6. If two positive integers p and q can be expression as p=ab^2 and q=a^3...

    Text Solution

    |

  7. The product of a non-zero rational and irrational number is

    Text Solution

    |

  8. The least number that is divisible by all the numbers from 1 to 10 is

    Text Solution

    |

  9. The decimal expansion of the rational number 14587/1250 will terminate...

    Text Solution

    |

  10. Find the zeroes of the polynomial x^2-5x

    Text Solution

    |

  11. Evaluate: (a-b)^3+(b-c)^3+(c-a)^3

    Text Solution

    |

  12. Using Remainder theorem, find the remainder when 4x^3-12x^2+11x-5 is d...

    Text Solution

    |

  13. Using factor theorem, prove that x-y is a factor of x(y^2-z^2)+y(z^2-x...

    Text Solution

    |

  14. Show that p-1 is a factor of p^10-1 and also p^11-1

    Text Solution

    |

  15. If x+2a is a factor of x^5-4a^2x^3+2x+2a+3 find a.

    Text Solution

    |

  16. Without actually calculating the cubes, find the value of: (1/2)^3+(1/...

    Text Solution

    |

  17. If both x-2 and x-1/2 are factors of px^2+5x+r, show that p=r.

    Text Solution

    |

  18. Find the integral zeroes of the polynomial: p(x)=x^3+6x^2+11x+6

    Text Solution

    |

  19. If x^2+1/x^2=79, evaluate x^3+1/x^3

    Text Solution

    |

  20. Using factor theorem factorise p(x)=x^3-23x^2+142x-120

    Text Solution

    |