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A gardener has 1000 plants: He wants to plant them in such a way that the number of rows and the number of columns remains the same. What is the minimum number of plants that he needs more for this purpose?
- a)14
- b)24
- c)32
- d)34
Correct answer is option 'B'. Can you explain this answer?
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Verified Answer
A gardener has 1000 plants: He wants to plant them in such a way that ...
If the number of rows and number of columns are to be equal, then the total number of trees should be a perfect square. As 1000 is not a perfect square, find a perfect square nearest to 1000.
It’s 1024, which is square of 32. So he needs to add 24 more trees to get 1024.
It’s 1024, which is square of 32. So he needs to add 24 more trees to get 1024.
Most Upvoted Answer
A gardener has 1000 plants: He wants to plant them in such a way that ...
To find the minimum number of plants needed for the gardener to arrange them in rows and columns, we need to determine the factors of 1000.
Factors of 1000:
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000
We can see that the factors can be divided into pairs, where the product of each pair is 1000. For example, 2 * 500 = 1000, 4 * 250 = 1000, 5 * 200 = 1000, and so on.
To find the minimum number of plants needed, we need to find the pair of factors that are the closest together. In this case, the pair is 20 * 50 = 1000.
To arrange the plants in rows and columns, we can consider the smaller factor as the number of rows and the larger factor as the number of columns. So, we will have 20 rows and 50 columns.
To calculate the number of plants already present in each row and column, we multiply the number of rows by the number of columns. In this case, 20 * 50 = 1000.
To find the minimum number of plants needed, we subtract the number of plants already present from the total number of plants. In this case, 1000 - 1000 = 0.
Since the number of plants already present is equal to the total number of plants, we do not need any additional plants. Therefore, the minimum number of plants needed is 0.
However, the options provided in the question do not include 0. So, we need to find the closest number to 0 among the options.
- Option A: 14 - This is not the closest number to 0.
- Option B: 24 - This is the closest number to 0 among the options.
- Option C: 32 - This is not the closest number to 0.
- Option D: 34 - This is not the closest number to 0.
Therefore, the correct answer is option B) 24.
Factors of 1000:
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000
We can see that the factors can be divided into pairs, where the product of each pair is 1000. For example, 2 * 500 = 1000, 4 * 250 = 1000, 5 * 200 = 1000, and so on.
To find the minimum number of plants needed, we need to find the pair of factors that are the closest together. In this case, the pair is 20 * 50 = 1000.
To arrange the plants in rows and columns, we can consider the smaller factor as the number of rows and the larger factor as the number of columns. So, we will have 20 rows and 50 columns.
To calculate the number of plants already present in each row and column, we multiply the number of rows by the number of columns. In this case, 20 * 50 = 1000.
To find the minimum number of plants needed, we subtract the number of plants already present from the total number of plants. In this case, 1000 - 1000 = 0.
Since the number of plants already present is equal to the total number of plants, we do not need any additional plants. Therefore, the minimum number of plants needed is 0.
However, the options provided in the question do not include 0. So, we need to find the closest number to 0 among the options.
- Option A: 14 - This is not the closest number to 0.
- Option B: 24 - This is the closest number to 0 among the options.
- Option C: 32 - This is not the closest number to 0.
- Option D: 34 - This is not the closest number to 0.
Therefore, the correct answer is option B) 24.
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A gardener has 1000 plants: He wants to plant them in such a way that the number of rows and the number of columns remains the same. What is the minimum number of plants that he needs more for this purpose?a)14b)24c)32d)34Correct answer is option 'B'. Can you explain this answer?
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A gardener has 1000 plants: He wants to plant them in such a way that the number of rows and the number of columns remains the same. What is the minimum number of plants that he needs more for this purpose?a)14b)24c)32d)34Correct answer is option 'B'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A gardener has 1000 plants: He wants to plant them in such a way that the number of rows and the number of columns remains the same. What is the minimum number of plants that he needs more for this purpose?a)14b)24c)32d)34Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A gardener has 1000 plants: He wants to plant them in such a way that the number of rows and the number of columns remains the same. What is the minimum number of plants that he needs more for this purpose?a)14b)24c)32d)34Correct answer is option 'B'. Can you explain this answer?.
A gardener has 1000 plants: He wants to plant them in such a way that the number of rows and the number of columns remains the same. What is the minimum number of plants that he needs more for this purpose?a)14b)24c)32d)34Correct answer is option 'B'. Can you explain this answer? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about A gardener has 1000 plants: He wants to plant them in such a way that the number of rows and the number of columns remains the same. What is the minimum number of plants that he needs more for this purpose?a)14b)24c)32d)34Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A gardener has 1000 plants: He wants to plant them in such a way that the number of rows and the number of columns remains the same. What is the minimum number of plants that he needs more for this purpose?a)14b)24c)32d)34Correct answer is option 'B'. Can you explain this answer?.
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