Answer:
(a) We have, ____ 6274 Sum of the given digits = 6 + 7 + 2 + 4 = 19 \[\because \] Multiples of 3 greater than 19 are 21, 24, 27, 30, ... \[\therefore \]21 ? 19 = 2; 24 ? 19 = 5; 27 ? 19 = 8; 30 -19 = 11 But 11 is not a single digit. \[\therefore \] Smallest digit = 2 and greatest digit = 8 (b) We have, 4765 ____ 2 Sum of the given digits = 4 + 7 + 6 + 5 + 2 = 24 \[\therefore \] 24 is a multiple of 3, so smallest digit = 0 Now, multiples of 3 greater than 24 are 27, 30, 33, 36, ... \[\therefore \]27 ? 24 = 3; 30 ? 24 = 6; 33 ? 24 = 9; 36 ? 24 = 12 But 12 is not a single digit. \[\therefore \] Smallest digit = 0 and greatest digit = 9
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