2025 plants are to be planted in a garden in such a way that each row contains as many plants as the number of rows, what is the number of rows and the number of plants in each row?

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answer is B.

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Detailed Solution

Given that the total no. of plants = 2025.
The total number of plants in each row = The total number of rows.
We know that,

Total number of plants = (Number of Rows) × (Number of plants in each row)

.
Let the total number of rows = total number of plants in each row = x.
Therefore, above equation becomes,

Total number of plants = (x) × (x) = (x) 2 x = Total number of plants

The total number of plants as a whole is given as 2025.

2025 = 5 × 5 ¯ × 3 × 3 ¯ × 3 × 3 ¯

No unpaired number in the above expression, therefore the given number is a perfect square.
Finding the square root of the number,

⇒ 2025 = 5 × 5 ¯ × 3 × 3 ¯ × 3 × 3 ¯ ⇒ x = 2025 = 5 × 3 × 3 = 45

Therefore, 45 rows and 45 plants are in each row.
Hence, option 2 is correct.

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