What is the least number of soldiers that can be drawn up in troops of 12, 15, 18 and 20 soldiers and also in form of a solid square?
বিকল্পসমূহ (নিজের উত্তর যাচাই করতে ক্লিক করুন):
সঠিক উত্তর
ক (900)
বিস্তারিত ব্যাখ্যা ও বিশ্লেষণ:
In this type of question, We need to find out the LCM of the given numbers. LCM of 12, 15, 18 and 20; 12=2×2×3;
15=3×5;
18=2×3×3;
20=2×2×5;
Hence, LCM = 2×2×3×5×3 Since, 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 5,
hence,
The required number of soldiers = 2×2×3×3×5×5 = 900
