Each of the following three-digit numbers is divisible by 3. Find the values of the digit $x$
(i) $4 x 3$
(ii) $4 x 5$

(i) 2, 5 or 8
(ii) 0, 3, 6 or 9

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(i) 1, 4 or 7
(ii) 0, 3, 6 or 9

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(i) 2, 5 or 8
(ii) 1, 4, or 7

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(i) 1, 4 or 7
(ii) 1, 4 or 7

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Solution

The correct option is A (i) 2, 5 or 8
(ii) 0, 3, 6 or 9
$F o r t h e n u m b e r t o b e d i v i s i b l e b y 3, t h e s u m o f i t s d i g i t s s h o u l d b e a m u l t i p l e$
$o f 3, (i) 4 x 3 \to 4 + x + 3 = 3 n, ⟹ 7 + x = 9, 7 + x = 12, 7 + x = 15, ⟹ x = 2 o r 5 o r 8. (i i) 4 x 5 \to 4 + x + 5 = 3 n, ⟹ 9 + x = 9, 9 + x = 12, 9 + x = 15, 9 + x = 18, ⟹ x = 03 o r 6 o r 9.$

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