A teacher wants to arrange his students in an equal number of rows and...
If they are equal number of rows and columns then,

A teacher wants to arrange his students in an equal number of rows and...
To solve this problem, we need to find the number of students in each row and column. Since the number of students is 1369, we need to find the square root of 1369 to determine the number of students in each row and column.
- Finding the Square Root:
The square root of 1369 can be found either by using a calculator or by prime factorization method. The prime factorization of 1369 is 7 * 7 * 7 * 7, which means the number is a perfect square of 7.
- Determining the Number of Students in Each Row and Column:
Since the number of students is a perfect square of 7, we can conclude that there will be an equal number of students in each row and column. Therefore, the number of students in the last row will be the same as the number of students in each row and column.
- Calculating the Number of Students in the Last Row:
To find the number of students in the last row, we need to divide the total number of students (1369) by the number of rows or columns (7). This will give us the number of students in each row, and since the number of students in the last row will be the same, it will also be the answer to the question.
1369 / 7 = 197
Therefore, the number of students in the last row is 197.
- Checking the Options:
Option A states that the number of students in the last row is 37, which is incorrect. Therefore, option A is not the correct answer.
Option B states that the number of students in the last row is 33, which is also incorrect.
Option C states that the number of students in the last row is 63, which is also incorrect.
Option D states that the number of students in the last row is 47, which is also incorrect.
Thus, the correct answer is option A, which is 37.