Home
Class 11
MATHS
If r,s,t are prime numbers and p,q are t...

If r,s,t are prime numbers and p,q are the positive integers such that LCM of p,q, is `r^(2)t^(4)s^(2)`, then the

A

252

B

254

C

225

D

224

Text Solution

Verified by Experts

Required number of ordered pairs
`=(2xx3-1)(2xx5-1)(2xx3-1)-1=224.`
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section I - Solved Mcqs|111 Videos

  • PERMUTATIONS AND COMBINATIONS

    OBJECTIVE RD SHARMA ENGLISH|Exercise Section II - Assertion Reason Type|9 Videos

  • PARABOLA

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|30 Videos

  • PROBABILITY

    OBJECTIVE RD SHARMA ENGLISH|Exercise Chapter Test|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

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

If p and q are two prime numbers, then what is their LCM?

Find the positive integers p, q, r, s satisfying tan (pi/24)=(sqrt(p)-sqrt(q))(sqrt(r)-s)

If p,q,r,s,t are numbers such that p+q lt r+s q+r lt s+t r+s lt t+p s+t lt p+q thn the largest and smallest numbers are

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

Consider the following relations: R = {(x, y) | x, y are real numbers and x = wy for some rational number w}; S={(m/n , p/q)"m , n , p and q are integers such that n ,q"!="0 and q m = p n"} . Then (1) neither R nor S is an equivalence relation (2) S is an equivalence relation but R is not an equivalence relation (3) R and S both are equivalence relations (4) R is an equivalence relation but S is not an equivalence relation

In Figure, P Q R is a triangle and S is any point in its interior, show that SQ+SR < PQ+PR. Given : S is any point in the interior of P Q R To Prove : S Q+S R < P Q+P R Construction: Produce Q S to meet P R in T

If p ,q ,r ,s are rational numbers and the roots of f(x)=0 are eccentricities of a parabola and a rectangular hyperbola, where f(x)=p x^3+q x^2+r x+s ,then p+q+r+s= a. p b. -p c. 2p d. 0

Given three statements P: 5 is a prime number, Q : 7 is a factor of 192, R : The LCM of 5 & 7 is 35 Then which of the following statements are true (a) Pvv(~Q^^R) (b) ~P^^(~Q^^R) (c) (PvvQ)^^~R (d) ~P^^(~Q^^R)

OBJECTIVE RD SHARMA ENGLISH-PERMUTATIONS AND COMBINATIONS-Chapter Test
  1. If r,s,t are prime numbers and p,q are the positive integers such that...

    Text Solution

    |

  2. 7 women and 7 men are to sit round a circulartable such that there is ...

    Text Solution

    |

  3. There are (n+1) white and (n+1) black balls, each set numbered 1ton...

    Text Solution

    |

  4. 12 persons are to be arranged to a round table. If two particular pers...

    Text Solution

    |

  5. The number of committees of 5 persons consisting of at least one femal...

    Text Solution

    |

  6. The number of ways in which a team of eleven players can be selected f...

    Text Solution

    |

  7. In a football championship, 153 matches were played. Every two-team pl...

    Text Solution

    |

  8. How many numbers between 5000 and 10,000 can be formed using the digit...

    Text Solution

    |

  9. If x, y and r are positive integers, then ""^(x)C(r)+""^(x)C(r-1)+""^(...

    Text Solution

    |

  10. In how many ways can 5 red and 4 white balls be drawn from a bag conta...

    Text Solution

    |

  11. All the letters of the word 'EAMCET' are arranged in all possible ways...

    Text Solution

    |

  12. There are 10 lamps in a hall. Each one of them can be switched on i...

    Text Solution

    |

  13. How many 10-digit numbers can be formed by using digits 1 and 2

    Text Solution

    |

  14. The straight lines I(1),I(2),I(3) are parallel and lie in the same pla...

    Text Solution

    |

  15. about to only mathematics

    Text Solution

    |

  16. The number of diagonals that can be drawn by joining the vertices of a...

    Text Solution

    |

  17. The sum of the digits in unit place of all the numbers formed with the...

    Text Solution

    |

  18. In an examinations there are three multiple choice questions and each ...

    Text Solution

    |

  19. There are 10 points in a plane, out of these 6 are collinear. If N is ...

    Text Solution

    |

  20. Ramesh has 6 friends. In how many ways can be invite one or more of th...

    Text Solution

    |

  21. If Pm stands for ^m Pm , then prove that: 1+1. P1+2. P2+3. P3++ndotPn=...

    Text Solution

    |