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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


Team Careers360 23rd Jan, 2024
Answer (1)
Team Careers360 25th Jan, 2024

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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