The soldiers in a regiment can be stood in some raws consisting of 15,20 or 25 numbers of soldiers.Find the least numbers of soldiers in the regiment.
Answers
Answer:
Okay, so this is actually very simple if you stop and think about it.
You obviously know that the number of soldiers must be a multiple of 10, 15 and 25.( Only then, can they be drawn into lines of 10, 15 or 25).
So now the possibilities are multiples of 150 ( LCM of 10,15,25). ( 150 = 2*3*5*5
As 10 is present and your final answer needs to be a perfect square, you need another factor of 2.
Also as 15 is present you need a factor of 3.
Therefore you multiply 150 by 2 and 3 to get 900 which is your answer.
900 = 2^2 *3^2*5^2
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Step-by-step explanation:
L . C . M of 15,20 and 25 is the req no. of soldiers to be determined.
L . C . M = 5*3*4*5
= 300
Hope this helps you☺️