A boy imagined a four-digit multiple of with different digits. If the first digit is erased, the obtained number is multiple of . If the second digit of the imagined number is erased, the obtained number is multiple of . If the third digit of the imagined number is erased, the obtained number is multiple of . What number a boy imagined?
Answer:
Since the number is divisible by 3, the sum of the digits should be multiplied by 3.
.
. .The digits can be 0,2,4,6 or 0,4,6,8
Hence the required no. of numbers =(4-3)+(4-3)=36
(0 cannot come in first position)
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