Home
Class 6
MATHS
Three sets of English, Hindi and Mathema...

Three sets of English, Hindi and Mathematics books have to be stacked in such a way that all the books are stored topic wise and the height of each stack is the same. The number of English books is 96, the number of Hindi books is 240 and the number of Mathematics books is 336. Assuming that the books are of the same thickness, determine the number of stacks of English, Hindi and Mathematics books.

Text Solution

AI Generated Solution

To solve the problem of stacking the English, Hindi, and Mathematics books such that the height of each stack is the same, we need to find the highest common factor (HCF) of the number of books in each subject. Here’s a step-by-step solution: ### Step 1: Identify the number of books - English books: 96 - Hindi books: 240 - Mathematics books: 336 ### Step 2: Find the prime factorization of each number ...
Promotional Banner

Topper's Solved these Questions

  • PAIR OF LINES AND TRANSVERSAL

    RD SHARMA ENGLISH|Exercise All Questions|6 Videos
  • QUADRILATERALS

    RD SHARMA ENGLISH|Exercise All Questions|9 Videos

Similar Questions

Explore conceptually related problems

Two sets of English and social science books containing 336 and 96 respectively in a library have to be stacked in such a way that an the books are stored topic wise and the height of each stack is the same. Assuming that the books are of the same thickness, determine the number of stacks. What are the characteristics of library?

Eleven books are stacked on top of each other. If each book is 2.35 cm thick, find the height of the stack.

Three books (X,Y and Z) rest on a table. The weight of each book is indicated. The net force acting on book Y is

The number of ways in which 4 books on Mathematics and 3 books on English can be placed in a shelf, so that the books on the same subject always remain together is

The weight of 72 books is 9 kg. What is the weight of 40 such books?

If 4 books cost रु 270.6, find the cost of one book.

The ratio of storybooks in a library to other books is 1:7. The total number of story books is 800. Find the total number of books in the library.

In a school library, the ratio of mathematics books to Science books is the same as the ratio of Science books to Hindi books. If there are 450 books in Science and 300 books in Hindi, find the number of books in Mathematics.

In the school cupboard, 36 math books were stacked one on top of the other. If each maths book is 2(1)/(3) cm thick, what is the height of the stack of books?

The cost of Mathematics book is Rs 25 3/4 and that of Science book is Rs 20 1/2dot Which costs more and by how much?

RD SHARMA ENGLISH-PLAYING WITH NUMBERS-All Questions
  1. Two tankers contain 850 litres and 680 litres of petrol respectively. ...

    Text Solution

    |

  2. In a seminar. the number of participants in Hindi, English and Mathema...

    Text Solution

    |

  3. Three sets of English, Hindi and Mathematics books have to be stack...

    Text Solution

    |

  4. Reduce (289)/(391) to the lowest terms.

    Text Solution

    |

  5. Find the largest number which divides 615 and 963 leaving remainder...

    Text Solution

    |

  6. Find the greatest number which divides 285 and 1249 leaving remainders...

    Text Solution

    |

  7. What is the largest number that divides 626, 3127 and 15628 and lea...

    Text Solution

    |

  8. The length, breadth and height of a room are 825 cm, 675 cm and 450...

    Text Solution

    |

  9. A rectangular hall is 18 m 72 cm long and 13 m 20 cm broad. It can be ...

    Text Solution

    |

  10. The greatest possible length which can be used to measure exactly t...

    Text Solution

    |

  11. 105 goats, 140 donkeys and 175 cows have to be taken across a river...

    Text Solution

    |

  12. Two brands of chocolates are available in packs of 24 and 15 respec...

    Text Solution

    |

  13. During a sale, colour pencils were being sold in packs of 24 each a...

    Text Solution

    |

  14. Reduce each of the following fractions to the lowest terms: (161)/(...

    Text Solution

    |

  15. A merchant has 120 litres of oil of one kind, 180 litres of another ...

    Text Solution

    |

  16. Find the L.C.M. of 40, 36, and 126 by prime factorization method.

    Text Solution

    |

  17. Find the L.C.M. of  84, 90 and 120 by prime factorization method.

    Text Solution

    |

  18. Determine the L.C.M. of 624 and 936 by division method.

    Text Solution

    |

  19. Find the L.C.M. of 112, 140 and 168 by division method.

    Text Solution

    |

  20. Find the L.C.M. of 75, 250, 225 and 525 by division method.

    Text Solution

    |