CBSE Class 10 Answered
A teacher on attempting to arrange the students for mass drill in the form of a square found that 24
Asked by suchet_r | 26 Feb, 2010, 05:29: PM
Expert Answer
assume that there were x students ina row.
so the square will have
x (x) students.
so total number of students =x(x)+24.....as 24 students get left out after this arrangement.
next
if the size of the square is increased by 1 student, then the number of students in the new arangement=[(x+1)(x+1)]
so total number of students=[(x+1)(x+1)]-25.... as 25 students were found short out after this arrangement.
since the total number of students is the same, so equating it in both cases we get,
x(x)+24=[(x+1)(x+1)]-25
so
2x=48
x=24
hence, the number of students=[24 x24]+24=576+24=600
or even in the other formation,
number of students=[25 x 25]-25=600
so we see that the number of students=600
Answered by | 26 Feb, 2010, 05:42: PM
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