In a school hall, 460 students were sitting in rows and columns in suc

1.	In a school hall, 460 students were sitting in rows and columns in such a way that the number of students sitting in each column was three more than the number of students sitting in each row. The number of students in each column was :(a) 20 (b) 23 (c) 24 (d) None of these
Answer» (b) 23 Suppose the number of students in each row = x Then, number of students in each column = x + 3 ⇒ x(x + 3) = 460 ⇒ x² + 3x - 460 = 0 ⇒ (x + 23)(x - 20) = 0 ⇒ x = - 23, 20 Rejecting negative value, number of students in each row = 20 ∴ No. of students in each column = 23.

In a school hall, 460 students were sitting in rows and columns in such a way that the number of students sitting in each column was three more than the number of students sitting in each row. The number of students in each column was :(a) 20 (b) 23 (c) 24 (d) None of these

Answer»

(b) 23

Suppose the number of students in each row = x

Then, number of students in each column = x + 3

⇒ x(x + 3) = 460 ⇒ x² + 3x - 460 = 0

⇒ (x + 23)(x - 20) = 0 ⇒ x = - 23, 20

Rejecting negative value, number of students in each row = 20

∴ No. of students in each column = 23.