A teacher wants to arrange his students in an equal number of rows and columns. If there are 1369 students, the number of students in the last row are (a) 37 (b) 33 (c) 63 (d) 47

Solution

To arrange 1369 students in an equal number of rows and columns, we need to find a square number that is closest to 1369 because the square root of that number will give us the number of students in each row and column.

Finding the Square Root

The square root of 1369 gives us:

\[
\sqrt{1369} = 37
\]

This means that the teacher can arrange the students in 37 rows and 37 columns, with each row and column having exactly 37 students. Therefore, the number of students in the last row is 37.

The correct answer is (a) 37.