CBSE Class 10 Maths (Standard) 2023 · Paper 30/C/B · Question 36

Quadratic Equations 4 marks Medium

In an auditorium, seats are arranged in rows and columns. The number of rows are equal to the number of seats in each row in the beginning. When the number of rows are doubled and the number of seats in each row is reduced by

10

, the total number of seats increases by

300

. Based on the above, answer the following questions:

(a)Taking $x$ as the number of rows in the beginning, represent the above situation by a quadratic equation.
(b)(i) How many rows are there in the original arrangement? OR (ii) How many seats are there in the auditorium in the beginning? (c) How many seats are there in the auditorium after re-arrangement?

aTaking $x$ as the number of rows in the beginning, represent the situation by a quadratic equation.[1]
b-iHow many rows are there in the original arrangement?[2]
b-iiHow many seats are there in the auditorium in the beginning? (OR alternative)[2]
cHow many seats are there in the auditorium after re-arrangement?[1]

Answer

x^{2} - 20 x - 300 = 0

; rows

= 30

; seats begin

= 900

; after

= 1200

🔒 Step-by-step solution

From the board paper

CBSE Class 10 Maths (Standard) 2023 · Paper 30/C/B, Question 36 — all 38 questions with answers →

CBSE Class 10 Maths (Standard) 2023 · Paper 30/C/B · Question 36

Answer

From the board paper

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