Question

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 1

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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