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Q.

A General wishes to draw up his 7500   soldiers in the form of a square. After arranging, he found out that some of them were left out. Among the following choices, find the number of soldiers that have been left out.


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a

82

b

100

c

104

d

110 

answer is C.

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Detailed Solution

It is given that, 7500  soldiers have to be arranged.
These 7500   soldiers are to be arranged in the form of squares.
The number of soldiers left out is found by evaluating 7500  .
7500 is not a square number.
So, the nearest square number to 7500   is 7396  .
7396=862
7396 =86  
Number of soldiers left out is given by,
75007396=104  
The number of soldiers left out is 104 soldiers.
Hence, option 3) is correct.
 
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A General wishes to draw up his 7500   soldiers in the form of a square. After arranging, he found out that some of them were left out. Among the following choices, find the number of soldiers that have been left out.