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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Question : What is the value of $\frac{\left(\frac{28}{9} \times \frac{42}{35}\right) \div\left(\frac{3}{25} \times \frac{5}{7} \div \frac{1}{21}\right)}{\left(\frac{14}{15} \div \frac{2}{75} \text { of } \frac{7}{5}\right) \times \frac{1}{75} \div \frac{4}{3}} ?$
Option 1: $\frac{222}{27}$
Option 2: $\frac{212}{27}$
Option 3: $\frac{244}{27}$
Option 4: $\frac{224}{27}$
Question : What is the value of $\left(\frac{21}{46} \div \frac{1}{6}\right)$ of $\frac{23}{42}+\frac{96}{576} \times \frac{24}{3}-\left(\frac{88}{56} \times \frac{7}{9} \div \frac{5}{36}\right)$ ?
Option 1: $\frac{-163}{28}$
Option 2: $\frac{-179}{30}$
Option 3: $\frac{11}{2}$
Option 4: $\frac{5}{2}$
Question : The value of $\left[\frac{1}{4}\right.$ of $\left.18 \div \frac{6}{5} \text{of}\left(\frac{1}{8}+\frac{7}{4}\right)\right] \times \frac{1}{15}$ is:
Option 1: $\frac{2}{15}$
Option 2: $\frac{6}{7}$
Option 3: $\frac{5}{8}$
Option 4: $\frac{4}{5}$
Question : What is the value of $\left[\frac{1}{5}+\left\{\frac{1}{6}\right.\right.$ of $\left.\left.\left(\frac{42}{35} \div \frac{6}{25}\right)–\left(\frac{2}{7} \times \frac{6}{5} \div \frac{18}{42}\right)\right\}+\frac{19}{30}\right]$?
Option 1: $\frac{17}{15}$
Option 2: $\frac{13}{15}$
Option 3: $\frac{14}{15}$
Option 4: $\frac{11}{15}$
Question : What is the value of $\frac{\left[\left(\frac{5}{7} \text { of } \frac{1}{12} \times \frac{1}{4}-\frac{1}{2} \times \frac{1}{8}\right)+\frac{5}{4} \times \frac{8}{15}-\frac{2}{3}\right]}{\frac{1}{2} \div \frac{1}{4}+\frac{1}{2}}$ ?
Option 1: $\frac{-5}{108}$
Option 2: $\frac{-4}{103}$
Option 3: $\frac{-4}{105}$
Option 4: $\frac{-2}{105}$
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