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A lady planted 3136 apple trees in his garden and arranged them in such a way that the no of lines should be as the no of rows. Find the no of lines in the garden ?
  • a)
    34
  • b)
    54
  • c)
    56
  • d)
    36 ​
  • e)
    None of these
Correct answer is option 'C'. Can you explain this answer?
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A lady planted 3136 apple trees in his garden and arranged them in suc...
56*56 = 3136
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A lady planted 3136 apple trees in his garden and arranged them in suc...
Solution:

Given, 3136 apple trees are planted in such a way that the number of lines should be as the number of rows.

Let the number of rows be x.

Then, the number of trees in each row = 3136/x.

As the number of lines should be as the number of rows, the number of trees in each line = 3136/x.

Given, the number of trees in each row and each line is the same.

Therefore, 3136/x = x.

On solving this equation, we get x = 56.

Therefore, the number of lines in the garden is 56.

Hence, the answer is option (c) 56.
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A lady planted 3136 apple trees in his garden and arranged them in suc...
Solution:

Let's first find the factors of 3136.

Factors of 3136 = 1, 2, 4, 8, 16, 31, 32, 62, 64, 124, 128, 248, 256, 496, 512, 992, 1024, 1984, 2048, 3968, 4096, 7936, 15872, 31360, 62720, 125440, 250880, 501760, 1003520, 2007040, 4014080, 8028160, and 16056320.

We can observe that the number of rows and columns will be the same if we take the square root of 3136.

√3136 = 56

Therefore, the number of lines in the garden is 56.

Hence, the answer is (c) 56.
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A lady planted 3136 apple trees in his garden and arranged them in such a way that the no of lines should be as the no of rows. Find the no of lines in the garden ?a)34b)54c)56d)36 e)None of theseCorrect answer is option 'C'. Can you explain this answer?
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