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If 234A is divisible by 9, find the value of the smallest natural number A?A. 5B. 6C. 7D. 91. D2. B3. A4. C |
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Answer» Correct Answer - Option 1 : D Given: 234A is divisible by 9 Concept used: If a number is divisible by 9 then sum of its digits is also divisible by 9. Calculation: Sum of digits of 234A = 2 + 3 + 4 + A = 9 + A For A = 0, sum will be 9, which is divisible by 9 But 0 is not a natural number Next nearest number to 9 is 18, which is divisible by 9 9 + A = 18 ⇒ A = 9 ∴ Smallest natural number is 9 for which 234A is divisible by 9. |
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