Question : Select the number that will come in place of the question mark (?) in the following mathematical statement.
$\left(9^2 \times 27+3^3 \times 7+?\right)^{\frac{1}{2}}=59$
Option 1: 1087
Option 2: 1105
Option 3: 1111
Option 4: 1090
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Correct Answer: 1105
Solution :
$\left(9^2 \times 27+3^3 \times 7+?\right)^{\frac{1}{2}}=59$
⇒ $9^2 \times 27+3^3 \times 7+? = 59^2$
⇒ $81 \times 27+27 \times 7+? = 3481$
⇒ $2187+189+? = 3481$
⇒ $? = 3481-2187-189 = 1105$
Hence, the correct answer is 1105.
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