1.

If \({\rm{A}} = {\rm{}}({11^{12}} + {11^{14}} + {11^{16}})\) then which of the following statement is incorrect regarding A?Statement 1: A is divisible by 7Statement 2: A is divisible by 3Statement 3: A is divisible by 191. Statement I and II2. Statement II and III3. Statement III and I4. None of these

Answer» Correct Answer - Option 4 : None of these

Given:

The given expression is \({\rm{A}} = {\rm{}}({11^{12}} + {11^{14}} + {11^{16}})\)

Formula Used:

Basic concept of exponent

Calculation:

From the given expression we take 1112 common

∴ A = 1112 (1 + 112 + 114) = 1112 × 14763

So, the given number is divisible by 7, 3 as well as 19

Hence, option (4) is correct



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