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Question

A PT teacher wants to arrange maximum possible number of 6000 students in a field such that the number of rows is equal to the number of columns. Find out the number of rows if 71 students were left out after the arrangement.

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Solution

LET THE NUMBER OF ROWS BE X.

SHE WANTS NUMBER OF ROWS TO BE EQUAL TO THE NUMBER OF COLUMNS SO THE TOTAL OF STUDENTS STANDING = X*X = X2
BUT THEN 71 STUDENTS WERE LEFT OUT, SO THE STUDENTS STANDING = 6000-71=X2
5929 = X2

X = SQUARE ROOT OF 5929 = 77

THEREFORE THE NUMBER OF ROWS =X=77

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