Question

Q8) A gardener has 1000 plants. He wants to plant these in such a way that the number of rows and the number of columns remains the same. Find the minimum number of plants he needs more for this.

Answer 1

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Q8) A gardener has 1000 plants. He wants to plant these in such a way that the number of rows and the number of columns remains the same. Find the minimum number of plants he needs more for this.

Solution

Transcript

Solution:

Here, plants = 1000

Since the remainder is 39.

Therefore 31^2<1000312<1000

Next perfect square number 32^2=1024322=1024

Hence, number to be added

= 1024 – 1000 = 24

\therefore1000+24=1024∴1000+24=1024

Hence, the gardener required 24 more plants.

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Answer 2

[Solution:

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.