there are 500 childern in a school. for a P.T. drill they have to stand in such a manner that the no. if rows and columns are equal how much childern will be left out of these arangement
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22 row × 22 column = 484 students , then 500 - 484 = 16 students left
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it has said there that the no of rows is equal to num of columns
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Let the numbers of rows and columns be x.
By prime factorisation,
500 = 2*2*5*5*5
After pairing the numbers,
5 will be left as unpaired.
Therefore, 5 children will be left out of these arrangement.
Hence, x*x = 2*2*5*5
=> x^2 = 100
=> x = √100
=> x = 10
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