What is the smallest number that should be added to 3857 so that the sum is completely divisible by 5, 6, 4, and 3?
What is the smallest number that should be added to 3857 so that the sum is completely divisible by 5, 6, 4, and 3?
वह सबसे छोटी संख्या, जिसे 3857 में जोड़ा जाना चाहिए ताकि योग 5, 6, 4 और 3 से पूर्ण विभाज्य हो :
Detailed Solution & Logic
Correct Answer:
43
To make the number divisible by 5, 6, 4, and 3, we first find their LCM (Least Common Multiple).
LCM of 5, 6, 4, and 3 = 60
Now we need to make 3857 divisible by 60.
Step 1: Find remainder when 3857 ÷ 60
3857 ÷ 60 = 64 remainder 17
Step 2: Find number to add
To reach the next multiple of 60:
Required number = 60 − 17 = 43
Final Answer: 43
Correct option: 43
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