On our Republic Day , our Physical Education teacher made all students stand in rows having 12,15 and 20 students,at different point of time for march past . At one point of time , the students were arranged in solid square . let's find atleast how many students were present in school on that day
Answers
Given : Physical Education teacher made all students stand in rows having 12,15 and 20 students,at different point of time for march past .
To find : At one point of time , the students were arranged in solid square
Solution:
Students can stands in rows having
12 , 15 & 20 students
Hence students are multiple of 12 , 15 & 20
Students will be multiple of LCM
12 = 2 * 2 * 3
15 = 3 * 5
20 = 2 * 2 * 5
LCM = 2 * 2 * 3 * 5
=> LCM = 120
Students are multiple of 120 = 2 * 2 * 3 * 5
Now students can be arranged in square
Hence 2 * 2 * 3 * 5 * 3 * 5
= 2² x 3² x 5²
= 30²
= 900
atleast 900 students were present in school on that day
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