Question

A gardener has 1000 plants. He wants to plant these in such a way that the number
of rows and the number of columns remain same. Find the minimum number of
plants he needs more for this.
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Answer 1

Answer:

Solution:

Here, plants = 1000

Since the remainder is 31.

Therefore square of 31 is less than 1000

Next perfect square number square of 32 = 1024

Hence, number

= 1024 – 1000 = 24

Hence, the gardener required 24 more plants.

Answer 2

Answer:

Here, plants = 1000

Since the remainder is 39.

Therefore 31^2<100031  

2

<1000

Next perfect square number 32^2=102432  

2

=1024

Hence, number to be added

= 1024 – 1000 = 24

\therefore1000+24=1024∴1000+24=1024

Hence, the gardener required 24 more plants.

Step-by-step explanation: