If 421 x is a multiple of 6 and x is a digit then x = what?
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Answer:
x=2 or 8
Step-by-step explanation:
given number is divisible by 6 iff the number is divisible both by 2 and 3
421x is divisible by 2
implies x has to be even
i.e. x = 0,2,4,6 or 8
now 421x has to be divisible by 3
implies 4+2+1+x = 7+x has to be divisible by 3
checking for all values of x we get that only 2 and 8 satisfy the given conditions and hence are the answers
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