Home
Class 10
MATHS
Divide 56 in four parts in A.P. such tha...

Divide 56 in four parts in A.P. such that the ratio of the product of their extremes (1st and 4th) to the product of means (2nd and 3rd) is 5:6.

Promotional Banner

Topper's Solved these Questions

  • 2020 QUESTION PAPER (1)

    AGRAWAL PUBLICATION|Exercise EXERCISE|33 Videos
  • CIRCLES

    AGRAWAL PUBLICATION|Exercise EXAMPLE|51 Videos

Similar Questions

Explore conceptually related problems

Divide 32 into four parts which are in A.P.such that the ratio of the product of extremes to the product of means is 7:15.

Divide 56 into four parts which are in A.P. such that the ratio of product of extremes to the product of means is 5:6 .

Divide 28 into four parts in an A.P.so that the ratio of the product of first and third with the product of second and fourth is 8:15.

Divide 32 into four parts which are in A.P.such that the product of extremes is to the product of means is 7:15.

Divide 32 into four parts which are in A.P.such that the product of extremes is to the product of means is 7:15.

Divide 20 into four parts which are in A.P. and such that the product of the first and fourth is to the product of the second and third in the ratio 2:3 . Find the products of the first and fourth term of the A.P. :

Four parts of 24 are in A.P. such that the ratio of product of extremes to products of means is 7:15 , then four parts are

Find four consecutive terms in an A.P. Whose sum is 72 and the ratio of the product of the 1st and the 4th terms to the product of the 2nd and 3rd terms is 9 : 10. (a) Let the four consecutive terms be a - 3d, a - d, a + d, a + 3d. (b) Using the first condition, find the value of a. (c) Using the second condition, find the value of d and hence the numbers.

4.(a) Divide 20 into 4 parts which are in A.P. and such that.the product of the first and fourth is to the product o the secondi.and third in the ratio 2:3.

Divide 124 into four parts in such a way that they are in AP and the product of the first and the 4 th part is 128 less than the product of the 2nd and the 3 rd parts.

AGRAWAL PUBLICATION-ARITHMETIC PROGRESSIONS-EXAMPLE
  1. For what value of n are the n^(th) terms of two A.P's 63,65,67, ….. An...

    Text Solution

    |

  2. Find the sum of the first 40 positive integers which give a remainder ...

    Text Solution

    |

  3. Divide 56 in four parts in A.P. such that the ratio of the product of ...

    Text Solution

    |

  4. If the sum of the first 7 terms of an A.P. is 49 and that of its first...

    Text Solution

    |

  5. If the sum of first p terms of an A.P. is equal to the sum of the firs...

    Text Solution

    |

  6. How many terms of an A.P. 9,17,25,….m must to be taken to give a sum o...

    Text Solution

    |

  7. Among the natural numbers 1 to 49, find a number x, such that the sum ...

    Text Solution

    |

  8. The 14^(th) term of an AP is twice 8^(th) term. If its 6^(th) term is ...

    Text Solution

    |

  9. The digits of a positive number of three digits are in A.P and their s...

    Text Solution

    |

  10. The digits of a positive number of three digits are in A.P and their s...

    Text Solution

    |

  11. Find the sum of first 24 terms of an A.P. whose n^(th) term is given b...

    Text Solution

    |

  12. Determine the A.P. whose third term is 16 and 7^(th) term exceeds the ...

    Text Solution

    |

  13. The 26^(th), 11^(th) and the last term of an AP are 0,3 and 1/5 respec...

    Text Solution

    |

  14. Find the sum of the following series: 5 +(-41) 9 +(-39) + 13 + (-37) ...

    Text Solution

    |

  15. The sum of four consecutive number in AP is 32 and the ratio of the pr...

    Text Solution

    |

  16. Solve : 1 +4 +7 + 10 +…….+ x=287.

    Text Solution

    |

  17. The sum of the first 5 terms of an AP and the sum of the first 7 terms...

    Text Solution

    |

  18. Find the sum of those integers between 1 and 500 which are multiples ...

    Text Solution

    |

  19. Find the sum of those integers from 1 to 500 which are multiples of ...

    Text Solution

    |

  20. Find the sum of those integers from 1 to 500 which are multiplies of...

    Text Solution

    |