What must be the least number of soldiers in a group such that they can be respectively arranged in lines of 20,30 and 50 soldiers each and also in a square?
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Answered by
10
Answer:
There should be 900 soldiers in a group.
Step-by-step explanation:
Consider the provided information.
It is given that they need to arranged in lines of 20,30 and 50 soldiers each and also in a square.
First calculate the LCM of the provided numbers as shown:
20 = 2×2×5
30 = 3×2×5
50 = 2×5×5
The LCM of the provided numbers is: 2×2×3×5×5 = 300
Since, it is given that the soldiers are in the form of a solid square.
Hence, LCM must be a perfect square. To make the LCM a perfect square, We have to multiply it by 3,
Thus, 2×2×3×3×5×5 = 900
Hence, there should be 900 soldiers in a group.
Answered by
10
Answer:
900 soldiers in a group
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