Home
Class 10
MATHS
If two positive integers a and b are e...

If two positive integers `a` and `b` are expressible in the form `a=p q^2` and `b=p^3q` ; `p ,\ q` being prime numbers, then LCM `(a ,\ b)` is (a)`p q` (b) `p^3q^3` (c) `p^3q^2` (d) `p^2q^2`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • QUADRATIC EQUATIONS

    RD SHARMA ENGLISH|Exercise All Questions|390 Videos

  • SOME APPLICATIONS OF TRIGONOMETRY

    RD SHARMA ENGLISH|Exercise All Questions|154 Videos

Similar Questions

Explore conceptually related problems

If two positive integers a and b are expressible in the form a =pq^2 and b=p^3q , p and q being prime numbers, then HCF (a,b) is a)pq b)p^3q^3 c)p^3q^2 d)p^2q^2

If two positive integers m and n are expressible in the form m=p q^3 and n=p^3q^2 , where p ,\ q are prime numbers, then HCF (m ,\ n)=

If two positive integers m and n are expressible in the form m=p q^3 and n=p^3q^2 , where p ,\ q are prime numbers, then HCF (m ,\ n)=

If 2009 = p^a x q^b where p and q are prime numbers, then the value of (p+q) is

If p and q are co-prime numbers, then p^2 and q^2 are (a) coprime (b) not coprime (c) even (d) odd

If A be one A.M. and p ,q be two G.M. ' s between two numbers, then 2A is equal to (a) (p^3+q^3)/(p q) (b) (p^3-q^3)/(p q) (c) (p^2+q^2)/2 (d) (p q)/2

0. 3 bar(2) when expressed in the form p/q(p ,\ q\ are integers q\ !=0), is (a) 8/(25) (b) (29)/(90) (c) (32)/(99) (d) (32)/(199)

If the sum of P terms of an A.P. is q and the sum of q terms is p , then the sum of p+q terms will be (a) 0 (b) p-q (c) p+q (d) (p+q)

The number 0. 3\ in the form p/q ,\ where p\ a n d\ q are integers and q\ !=0 , is (a) (33)/(100) (b) 3/(10) (c) 1/3 (d) 3/(100)

If p and q are positive, p^2 + q^2 = 16 , and p^2 - q^2 = 8 , then q =

RD SHARMA ENGLISH-REAL NUMBERS-All Questions
  1. If n=2^3xx3^4xx5^4xx7 , then the number of consecutive zeros in n ,...

    Text Solution

    |

  2. The sum of the exponents of the prime factors in the prime factoris...

    Text Solution

    |

  3. The number of decimal places after which the decimal expansion of th...

    Text Solution

    |

  4. If two positive integers a and b are expressible in the form a=p q...

    Text Solution

    |

  5. If two positive integers a and b are expressible in the form a =pq^2 a...

    Text Solution

    |

  6. If two positive integers m and n are expressible in the form m=p q...

    Text Solution

    |

  7. LCM of a and 18 is 36 and HCF of a and 18 is 2, then a= (a) 2 (b) 3 ...

    Text Solution

    |

  8. The HCF of 95 and 152, is (a) 57            (b) 1            (c) 19 ...

    Text Solution

    |

  9. a) 26           (b) 52              (c) 338             (d) 13

    Text Solution

    |

  10. If a=2^3xx3,\ \ b=2xx3xx5,\ \ c=3^nxx5 and LCM (a ,\ b ,\ c)=2^3xx3^2x...

    Text Solution

    |

  11. The decimal expansion of the rational number (14587)/(1250) will ter...

    Text Solution

    |

  12. If p and q are co-prime numbers, then p^2 and q^2 are (a) coprime (b...

    Text Solution

    |

  13. Which of the following rational numbers have terminating decimal (i) (...

    Text Solution

    |

  14. If 3 is the least prime factor of number a and 7 is the least prime fa...

    Text Solution

    |

  15. 3. 27 is (a) an integer (b) a rational number (c) a natural number...

    Text Solution

    |

  16. The smallest number by which sqrt(27) should be multiplied to get a ...

    Text Solution

    |

  17. The smallest rational number by which 1/3 should be multiplied so ...

    Text Solution

    |

  18. If n is any natural number, then 6^n-5^n always ends with ...........

    Text Solution

    |

  19. The LCM and HCF of two rational numbers are equal, then the numbers ...

    Text Solution

    |

  20. If the sum of LCM and HCF of two numbers is 1260 and their LCM is 90...

    Text Solution

    |