What is the least number of soldiers that can be drawn up in troops of

1.	What is the least number of soldiers that can be drawn up in troops of 10, 12, 15, 18 and 20 soldiers, and also in the form of a solid square?1. 6252. 4003. 1804. 900
Answer» Correct Answer - Option 4 : 900 In this type of problem, we find the LCM of five numbers first and then we look for what makes the LCM a perfect square. 1st term = 10 = 5 × 2 2nd term = 12 = 2 × 2 × 3 3rd term = 15 = 3 × 5 4th term = 18 = 2 × 3 × 3 5th term = 20 = 2 × 2 × 5 Hence, LCM ( 12,10,15,18,20) ⇒ 180 Since the LCM= 180 is not a perfect square , we make it a perfect square by multiplying 5 ( which is the least value to be multiplied) Then 180 × 5 = 900 = 30² Therefore, 900 solider can be drawn up in the form of a square.

What is the least number of soldiers that can be drawn up in troops of 10, 12, 15, 18 and 20 soldiers, and also in the form of a solid square?1. 6252. 4003. 1804. 900

Answer» Correct Answer - Option 4 : 900

In this type of problem, we find the LCM of five numbers first and then we look for what makes the LCM a perfect square.

1st term = 10 = 5 × 2

2nd term = 12 = 2 × 2 × 3

3rd term = 15 = 3 × 5

4th term = 18 = 2 × 3 × 3

5th term = 20 = 2 × 2 × 5

Hence, LCM ( 12,10,15,18,20)

⇒ 180

Since the LCM= 180 is not a perfect square , we make it a perfect square by multiplying 5 ( which is the least value to be multiplied)

Then 180 × 5 = 900 = 30²

Therefore, 900 solider can be drawn up in the form of a square.

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