There are 104 students in class X and 96 students in class IX in a school In a house examination the students are to be evenly seated in parallel rows such that no two adjacent rows are of the same class a Find the maximum number of parallel rows of each class for the seating arrangement b Also find the number of students of class IX and also of class X in a row

Answers

Question :

There are 104 students in class X and 96 students in class IX in a school. In a house examination, the students are to be evenly seated in parallel rows such that no two adjacent rows are of the same class.

(a) Find the maximum number of parallel rows of each class for the seating arrangement.
(b) Also find the number of students of class IX and also of class X in a row
Submitted on 24/11/2024 | Answered by Vandana Rana

10th
Maths
Real number

Answer :

Number of students in class X =104
Number of students in class IX =96

Prime factors of 104=2×2×2×13
96=2×2×2×2×2×3
HCF of 104 and 96 =8

(a)
Maximum number of parallel rows in class IX and X =8

(b)
For class X
Number of students in
each rows of class X =104÷8=13

For class IX
Number of students in
each rows of class IX =96÷8 =12