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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.
- a)5
- b)6
- c)7
- d)8
Correct answer is option '7'. Can you explain this answer?
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Three sets of English, Hindi and Mathematics books have to be stacked...
In order to arrange the books as required, we have to find the largest number that divides 96, 240 and 336 exactly. Clearly, such a number is their HCF Computation of HCF of 96 and 240: Clearly, HCF of 96 and 240 is 48. Computation of HCF of 48 and 336: Thus, HCF of 96, 240 and 336 is 48. Hence, there must be 48 books in each stack. Now,
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Number of stacks of English books = Number of English books / Number of books in each stack = 96 / 48 = 2
Number of stacks of Hindi books = Number of Hindi books / Number of books in each stack = 240 / 48 = 5
and, Number of stacks of Mathematics books = Number of Mathematics books / No. of books in each stack = 336 / 48 = 7
Most Upvoted Answer
Three sets of English, Hindi and Mathematics books have to be stacked...
Given data:
- Number of English books = 96
- Number of Hindi books = 240
- Number of Mathematics books = 336
- All books have the same thickness
- All stacks have the same height
To determine the number of stacks for each subject, we need to find the height of each stack. Let's assume the height of each stack to be 'h'.
Height of English stack = 96h
Height of Hindi stack = 240h
Height of Mathematics stack = 336h
Since all the stacks have the same height, we can equate them.
96h = 240h = 336h
Simplifying the above equation, we get:
h = height of each stack = Total number of books / (96 + 240 + 336)
h = (96 + 240 + 336) / (96 + 240 + 336)
h = 1
Therefore, the height of each stack is 1 unit.
To determine the number of stacks for each subject, we need to divide the total number of books by the height of each stack.
Number of stacks of English books = 96 / 1 = 96
Number of stacks of Hindi books = 240 / 1 = 240
Number of stacks of Mathematics books = 336 / 1 = 336
Since we need to stack the books topic-wise, we cannot have a fraction of a stack. Therefore, we need to find the common factor of 96, 240, and 336.
The common factor of 96, 240, and 336 is 48.
Number of stacks of English books = 96 / 48 = 2
Number of stacks of Hindi books = 240 / 48 = 5
Number of stacks of Mathematics books = 336 / 48 = 7
Therefore, the number of stacks of English, Hindi, and Mathematics books are 2, 5, and 7 respectively.
Hence, the correct answer is option 'c' (7).
- Number of English books = 96
- Number of Hindi books = 240
- Number of Mathematics books = 336
- All books have the same thickness
- All stacks have the same height
To determine the number of stacks for each subject, we need to find the height of each stack. Let's assume the height of each stack to be 'h'.
Height of English stack = 96h
Height of Hindi stack = 240h
Height of Mathematics stack = 336h
Since all the stacks have the same height, we can equate them.
96h = 240h = 336h
Simplifying the above equation, we get:
h = height of each stack = Total number of books / (96 + 240 + 336)
h = (96 + 240 + 336) / (96 + 240 + 336)
h = 1
Therefore, the height of each stack is 1 unit.
To determine the number of stacks for each subject, we need to divide the total number of books by the height of each stack.
Number of stacks of English books = 96 / 1 = 96
Number of stacks of Hindi books = 240 / 1 = 240
Number of stacks of Mathematics books = 336 / 1 = 336
Since we need to stack the books topic-wise, we cannot have a fraction of a stack. Therefore, we need to find the common factor of 96, 240, and 336.
The common factor of 96, 240, and 336 is 48.
Number of stacks of English books = 96 / 48 = 2
Number of stacks of Hindi books = 240 / 48 = 5
Number of stacks of Mathematics books = 336 / 48 = 7
Therefore, the number of stacks of English, Hindi, and Mathematics books are 2, 5, and 7 respectively.
Hence, the correct answer is option 'c' (7).
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Three sets of English, Hindi and Mathematics books have to be stacked...
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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.a) 5b) 6c) 7d) 8Correct answer is option '7'. Can you explain this answer?
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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.a) 5b) 6c) 7d) 8Correct answer is option '7'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about 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.a) 5b) 6c) 7d) 8Correct answer is option '7'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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.a) 5b) 6c) 7d) 8Correct answer is option '7'. Can you explain this answer?.
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.a) 5b) 6c) 7d) 8Correct answer is option '7'. Can you explain this answer? for Class 10 2024 is part of Class 10 preparation. The Question and answers have been prepared according to the Class 10 exam syllabus. Information about 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.a) 5b) 6c) 7d) 8Correct answer is option '7'. Can you explain this answer? covers all topics & solutions for Class 10 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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.a) 5b) 6c) 7d) 8Correct answer is option '7'. Can you explain this answer?.
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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.a) 5b) 6c) 7d) 8Correct answer is option '7'. Can you explain this answer?, a detailed solution for 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.a) 5b) 6c) 7d) 8Correct answer is option '7'. Can you explain this answer? has been provided alongside types of 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.a) 5b) 6c) 7d) 8Correct answer is option '7'. Can you explain this answer? theory, EduRev gives you an
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