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.
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.