Z7–I–1 MO 2018

A single digit different from zero is written on each of three cards (the digits on different cards are not necessarily different). We know that any three-digit number formed from these cards is divisible by six. Moreover, a three-digit number divisible by eleven can be formed from these cards.
What digits can be on the cards? Determine all possibilities.

Final Answer:

k = 2,4,6

Step-by-step explanation:

a1=246 b1=a1/6=246/6=41 c1=264 d1=c1/11=264/11=24  a2=264 b2=a2/6=264/6=44 c2=462 d2=c2/11=462/11=42  a3=426 b3=a3/6=426/6=71 c3=462 d3=c3/11=462/11=42  a4=462 b4=a4/6=462/6=77 c4=264 d4=c4/11=264/11=24  a5=624 b5=a5/6=624/6=104 c5=462 d5=c5/11=462/11=42  a6=642 b6=a6/6=642/6=107 c6=264 d6=c6/11=264/11=24  k=2,4,6



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You need to know the following knowledge to solve this word math problem:

algebrabasic operations and conceptsnumbersthemes, topicsGrade of the word problem

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