Question : When 335 is added to 5A7, the result is 8B2. 8B2 is divisible by 3. What is the largest possible value of A?
Option 1: 8
Option 2: 2
Option 3: 1
Option 4: 4
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Correct Answer: 4
Solution :
Given: 8B2 is divisible by 3.
By trial-and-error method,
Let the maximum value of B = 8.
⇒ 8 + 8 + 2 = 18
18 is divisible by 3.
So, (1 + 3 + A) = 8
⇒ (4 + A) = 8
⇒ A = 8 – 4
$\therefore$ A = 4
Hence, the correct answer is 4.
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