UPSC Prelims 2013·CSAT·Quantitative Aptitude·Number System

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?

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Last updated 23 May 2026, 3:31 pm IST
  1. A14
  2. B24Correct
  3. C32
  4. D34

Explanation

To plant the plants in such a way that the number of rows and columns remains the same, the total number of plants must be a perfect square. 1. We need to find the smallest perfect square that is greater than or equal to 1000. 2. Let's find the square root of 1000. 30^2 = 900 31^2 = 961 32^2 = 1024 3. Since 1000 is not a perfect square, the gardener needs more plants to form a perfect square arrangement. 4. The next perfect square after 1000 is 1024 (which is 32 x 32). 5. The gardener currently has 1000 plants. 6. The number of additional plants needed = 1024 - 1000 = 24. Therefore, the minimum number of plants he needs more is 24. The final answer is B
Quantitative Aptitude: A gardener has 1000 plants: He wants to plant them in such a way that the number of rows and the number of columns remai
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