19. A gardener wants to plant 1100 saplings in rows in such a way that the number of
saplings in each row is same as the number of rows. In the process, he finds that 11
saplings become extra. Find the number of rows.
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Ncert solutions
Grade 8
Mathematics
Science
Chapters in NCERT Solutions - Mathematics , Class 8
Exercises in Squares and Square Roots
Question 8
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
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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.
Explanation:
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