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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 11Statement 2: A is divisible by 11 but not by 3Statement 3: A is divisible by both 3 and 111. Statement I2. Statement II3. Statement III4. None of these |
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Answer» Correct Answer - Option 1 : 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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