When all the students of school are made to stand in lines to form a square, less than 10 students are left surplus. If the students of the school are 1305, how many students will stand on each line?

When all the students of school are made to stand in lines to form a square, less than 10 students are left surplus. If the students of the school are 1305, how many students will stand on each line?

  • A. 32
  • B. 35
  • C. 36
  • D. 38

Answer: C. 36

Given: The total number of students in the school is 1305 and when they stand to form a Square, less than 10 students are left extra

Now, let’s find the largest perfect square less than 1305.

The largest perfect square less than 1305 is 362 = 1296

So, 1305 – 1296 = 9 (Which Is less than 10)

Therefore, 36 students will stand on each line to form a square.

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