Home
Class 12
MATHS
Let y be an element of the set A={1,2,3,...

Let `y` be an element of the set `A={1,2,3,4,5,6,10,15,30}` and `x_(1)`, `x_(2)`, `x_(3)` be integers such that `x_(1)x_(2)x_(3)=y`, then the number of positive integral solutions of `x_(1)x_(2)x_(3)=y` is

A

64

B

27

C

81

D

30

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section C Objective type questions (One option is correct )|17 Videos
  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section D Linked Comprehension Type Questions|12 Videos
  • PERMUTATIONS AND COMBINATIONS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section A Objective type questions (One option is correct )|51 Videos
  • MATRICES

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (Section - J) Aakash Challengers Questions|3 Videos
  • PRINCIPLE OF MATHEMATICAL

    AAKASH INSTITUTE ENGLISH|Exercise Section-D:(Assertion-Reason Type Questions)|11 Videos

Similar Questions

Explore conceptually related problems

Let y be element of the set A={1,2,3,5,6,10,15,30} and x_1,x_2,x_3 be integers such that x_1x_2x_3=y then the number of positive integral solutions of x_1,x_2,x_3=y is (A) 64 (B) 27 (C) 81 (D) none of these

Find the number of positive integral solutions satisfying the equation (x_1+x_2+x_3)(y_1+y_2)=77.

Find the number of positive integral solutions satisfying the equation (x_1+x_2+x_3)(y_1+y_2)=77.

(a) Find the non-negative integral solutions of the equation x+y+z+t=15 , (b) Find the number of non-negative integral solutions x_(1)+x_(2)+x_(3)+4x_(4)=20

The number non-negative integral solutions of x_(1)+x_(2)+x_(3)+x_(4) le n (where n is a positive integer) is:

If x_(1), x_(2), x_(3) as well as y_(1), y_(2), y_(3) are in GP, with the same common ratio, then the points (x_(1),y_(1)), (x_(2),y_(2)) and (x_(3), y_(3))

The solution of 3x(1-x^2)y^2dy / dx+(2x^2-1)y^3=a x^3 is

An equilateral triangle has each side to a. If the coordinates of its vertices are (x_(1), y_(1)), (x_(2), y_(2)) and (x_(3), y_(3)) then the square of the determinat |(x_(1),y_(1),1),(x_(2),y_(2),1),(x_(3),y_(3),1)| equals

Consider set A = {x_(1), x_(2), x_(3), x_(4), x_(5)} and set B = {y_(1), y_(2), y_(3)} . Function f is defined from A to B. Number of function from A to B such that f(x_(1)) = y_(1) and f(x_(2)) != y_(2) is

Consider set A = {x_(1), x_(2), x_(3), x_(4), x_(5)} and set B = {y_(1), y_(2), y_(3)} . Function f is defined from A to B. Number of function from A to B such that f(x_(1)) = y_(1) and f(x_(2)) != y_(2) is

AAKASH INSTITUTE ENGLISH-PERMUTATIONS AND COMBINATIONS -Assignment Section B Objective type questions (One option is correct )
  1. Find the sum of all five digit numbers ,that can be formed using the d...

    Text Solution

    |

  2. The number of ways of selecting 8 books from a library which has 9 boo...

    Text Solution

    |

  3. Let y be an element of the set A={1,2,3,4,5,6,10,15,30} and x(1), x(2)...

    Text Solution

    |

  4. There are 12 points in a plane in which 6 are collinear. Number of dif...

    Text Solution

    |

  5. Let Tn denote the number of triangles, which can be formed using th...

    Text Solution

    |

  6. about to only mathematics

    Text Solution

    |

  7. There are m points on the line AB and n points on the line AC, excludi...

    Text Solution

    |

  8. The number of rectangle , of any sixe excluding squares from the recta...

    Text Solution

    |

  9. The number of divisors of the form 4K + 2 , K ge 0 of the integers 24...

    Text Solution

    |

  10. The exponent of 12 in 100! Is

    Text Solution

    |

  11. If the maximum number of trials required to open all locks when there ...

    Text Solution

    |

  12. How many numbers greater than 1000, but not greater than 4000 can be ...

    Text Solution

    |

  13. Find the total number of ways of selecting five letters from the word ...

    Text Solution

    |

  14. Eight chairs are numbered 1 to 8. Two women and three men wish to oc...

    Text Solution

    |

  15. The number of ways of distributing 12 different objects among three pe...

    Text Solution

    |

  16. Harsha invites 13 guests to a dinner and places 8 of them at one table...

    Text Solution

    |

  17. If one quarter of all the subjects containing three elements of the in...

    Text Solution

    |

  18. The number of all five digit numbers which are divisible by 4 that can...

    Text Solution

    |

  19. The total number of ways in which four boys and four girls can be seat...

    Text Solution

    |

  20. There are 15 couples taking part in a single tournament , the number o...

    Text Solution

    |