The number of trees in each row of a garden is equal to the total number of rows in the garden. After 111 trees have been uprooted in a storm, there remain 10914 trees in the garden. The number of rows of trees in the garden is = ?
A. 100
B. 105
C. 115
D. 125
Answer: Option B
Solution(By Examveda Team)
$$\eqalign{ & \,\,\,\,\,\,1|\overline 1 \,\,\overline {10} \,\,\overline {25} \,(105 \cr & \,\,\,\,\,\,\,\,\,|\,\,1 \cr & \,\,\,\,\,\,\,\,\,| - - - - - - \cr & \,\,20|\,\,\,\,\,\,10 \cr & \,\,\,\,\,\,\,\,\,|\,\,\,\,\,\,\,\,0 \cr & \,\,\,\,\,\,\,\,\,| - - - - - - \cr & 205|\,\,\,\,\,\,\,10\,25 \cr & \,\,\,\,\,\,\,\,\,|\,\,\,\,\,\,\,\,10\,25 \cr & \,\,\,\,\,\,\,\,\,| - - - - - - - \cr & \,\,\,\,\,\,\,\,\,|\,\,\,\,\,\,\,\,\,\,\,\,\,\,{\text{X}} \cr & {\text{Number of rows}} \cr & {\text{ = }}\sqrt {10914 + 111} \cr & = \sqrt {11025} \cr & = 105 \cr} $$Related Questions on Square Root and Cube Root
The least perfect square, which is divisible by each of 21, 36 and 66 is:
A. 213444
B. 214344
C. 214434
D. 231444
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