In a class, there are 529 students who are arranged in rows and columns to form a square for a P.T display. Now the teacher wants to add one more row and column for which 60 more students volunteer. Find the number of students who will not be a part of the P.T display.

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Solution

The correct option is A
13

Original number of rows and columns = $\sqrt{529}$ = 23

Required number of rows and columns = 23 + 1 = 24

Number of students required for P.T display now = $24^{2}$ = 576

Extra students needed = 47 (576 - 529)

Number of students not selected for PT display = 60 - 47 = 13

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In a class, there are 529 students who are arranged in rows and columns to form a square for a P.T display. Now the teacher wants to add one more row and column for which 60 more students volunteer. Find the number of students who will not be a part of the P.T display.

The correct option is A 13 Original number of rows and columns = √529 = 23 Required number of rows and columns = 23 + 1 = 24 Number of students required for P.T display now = 242 = 576 Extra students needed = 47 (576 - 529) Number of students not selected for PT display = 60 - 47 = 13