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A forester wants to plant 44 apples tree, 66 banana trees and 110 mango trees in equal rows (in terms of number of trees). Also, he wants to make distinct rows of tree (i.e. only one type of tree in one row). The number of rows (minimum) that required is:
- a)2
- b)3
- c)10
- d)11
- e)None of these
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
A forester wants to plant 44 apples tree, 66 banana trees and 110 mang...
In such case, we first need to find the HCF of 44, 66, 110.
44 = 2 x 2 x 11;
66 = 2 x 3 x 11;
110 = 2 x 5 x 11;
HCF = 2*11 = 22.
Then, the required numbers of rows,
= {(44/22)+(66/22)+(110/22)} = 10.
44 = 2 x 2 x 11;
66 = 2 x 3 x 11;
110 = 2 x 5 x 11;
HCF = 2*11 = 22.
Then, the required numbers of rows,
= {(44/22)+(66/22)+(110/22)} = 10.
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Most Upvoted Answer
A forester wants to plant 44 apples tree, 66 banana trees and 110 mang...
Given information:
- Number of apple trees = 44
- Number of banana trees = 66
- Number of mango trees = 110
- The rows need to have an equal number of trees
- Each row can only have one type of tree
To find the minimum number of rows required, we need to find the greatest common divisor (GCD) of 44, 66, and 110. This is because each row needs to have an equal number of trees, and the GCD represents the maximum number of trees that can be in each row.
Finding the GCD:
- Prime factorize each number:
- 44 = 2^2 x 11
- 66 = 2 x 3 x 11
- 110 = 2 x 5 x 11
- Identify the common prime factors: 2 and 11
- Multiply the common prime factors: 2 x 11 = 22
- Therefore, the GCD of 44, 66, and 110 is 22.
Now that we know the GCD is 22, we can find the number of rows required for each type of tree:
- Apple trees: 44 ÷ 22 = 2 rows
- Banana trees: 66 ÷ 22 = 3 rows
- Mango trees: 110 ÷ 22 = 5 rows
Since we want to have distinct rows for each type of tree, we need to take the LCM (least common multiple) of 2, 3, and 5 to find the minimum number of rows required:
- LCM of 2, 3, and 5 = 30
- Therefore, we need at least 30 rows to plant all the trees in distinct rows.
Since the answer options only provide numerical values, we can round up to the nearest integer:
- 30 rows rounded up = 10 rows
- Therefore, the minimum number of rows required is 10.
Thus, option (C) is the correct answer.
- Number of apple trees = 44
- Number of banana trees = 66
- Number of mango trees = 110
- The rows need to have an equal number of trees
- Each row can only have one type of tree
To find the minimum number of rows required, we need to find the greatest common divisor (GCD) of 44, 66, and 110. This is because each row needs to have an equal number of trees, and the GCD represents the maximum number of trees that can be in each row.
Finding the GCD:
- Prime factorize each number:
- 44 = 2^2 x 11
- 66 = 2 x 3 x 11
- 110 = 2 x 5 x 11
- Identify the common prime factors: 2 and 11
- Multiply the common prime factors: 2 x 11 = 22
- Therefore, the GCD of 44, 66, and 110 is 22.
Now that we know the GCD is 22, we can find the number of rows required for each type of tree:
- Apple trees: 44 ÷ 22 = 2 rows
- Banana trees: 66 ÷ 22 = 3 rows
- Mango trees: 110 ÷ 22 = 5 rows
Since we want to have distinct rows for each type of tree, we need to take the LCM (least common multiple) of 2, 3, and 5 to find the minimum number of rows required:
- LCM of 2, 3, and 5 = 30
- Therefore, we need at least 30 rows to plant all the trees in distinct rows.
Since the answer options only provide numerical values, we can round up to the nearest integer:
- 30 rows rounded up = 10 rows
- Therefore, the minimum number of rows required is 10.
Thus, option (C) is the correct answer.
Community Answer
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A forester wants to plant 44 apples tree, 66 banana trees and 110 mango trees in equal rows (in terms of number of trees). Also, he wants to make distinct rows of tree (i.e. only one type of tree in one row). The number of rows (minimum) that required is:a)2b)3c)10d)11e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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A forester wants to plant 44 apples tree, 66 banana trees and 110 mango trees in equal rows (in terms of number of trees). Also, he wants to make distinct rows of tree (i.e. only one type of tree in one row). The number of rows (minimum) that required is:a)2b)3c)10d)11e)None of theseCorrect answer is option 'C'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A forester wants to plant 44 apples tree, 66 banana trees and 110 mango trees in equal rows (in terms of number of trees). Also, he wants to make distinct rows of tree (i.e. only one type of tree in one row). The number of rows (minimum) that required is:a)2b)3c)10d)11e)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A forester wants to plant 44 apples tree, 66 banana trees and 110 mango trees in equal rows (in terms of number of trees). Also, he wants to make distinct rows of tree (i.e. only one type of tree in one row). The number of rows (minimum) that required is:a)2b)3c)10d)11e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
A forester wants to plant 44 apples tree, 66 banana trees and 110 mango trees in equal rows (in terms of number of trees). Also, he wants to make distinct rows of tree (i.e. only one type of tree in one row). The number of rows (minimum) that required is:a)2b)3c)10d)11e)None of theseCorrect answer is option 'C'. Can you explain this answer? for Class 9 2025 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A forester wants to plant 44 apples tree, 66 banana trees and 110 mango trees in equal rows (in terms of number of trees). Also, he wants to make distinct rows of tree (i.e. only one type of tree in one row). The number of rows (minimum) that required is:a)2b)3c)10d)11e)None of theseCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for Class 9 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A forester wants to plant 44 apples tree, 66 banana trees and 110 mango trees in equal rows (in terms of number of trees). Also, he wants to make distinct rows of tree (i.e. only one type of tree in one row). The number of rows (minimum) that required is:a)2b)3c)10d)11e)None of theseCorrect answer is option 'C'. Can you explain this answer?.
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