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If A = ((222)2 – (111)2) then which of the following condition is correct regarding A? Statement 1: A is divisible by 3 but not by 11 Statement 2: A is divisible by 11 but not by 3 Statement 3: A is divisible by both 3 and 11

If A = ((222)2 – (111)2) then which of the following condition is correct regarding A? Statement 1: A is divisible by 3 but not by 11 Statement 2: A is divisible by 11 but not by 3 Statement 3: A is divisible by both 3 and 11 Correct Answer Statement I

Given:

The given expression is A = ((222)2 – (111)2)

Formula used/concept Used:

Concept of divisibility

Identity: ((a)2 – (b)2) = (a + b) × (a – b)

Calculation:

By using the identity, the given expression can be simplified

∴ A = ((222)2 – (111)2) = (222 + 111) × (222 - 111)

⇒ 333 × 111

So, A is divisible by both 3 but not by 11

∴ Statement I is correct.

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