What will come in place of question mark in the following question? \(3\frac{6}{{17}} \div 2\frac{7}{{34}}

What will come in place of question mark in the following question?

\(3\frac{6}{{17}} \div 2\frac{7}{{34}} - 1\frac{9}{{25}} = {\left( ? \right)^2}\)

A 16/25

B 4/5

C 1/3

D 2/5

E 3/5

Correct Answer: Option D

Given expression:

Follow BODMAS rule to solve this question, as per the order is given below,

Step - 1 - Parts of an equation enclosed in 'Brackets' must be solved first,

Step - 2 - Any mathematical 'Of' or 'Exponent' must be solved next,

Step - 3 - Next, the parts of the equation that contains 'Division' and 'Multiplication' are calculated,

Step - 4 - Last but not least, the parts of the equation that contains 'Addition' and 'Subtraction' should be calculated.

\(3\frac{6}{{17}} \div 2\frac{7}{{34}} - 1\frac{9}{{25}} = {\left( ? \right)^2}\)

\(\Rightarrow {\left( ? \right)^2} = \frac{{57}}{{17}} \div \frac{{75}}{{34}} - \frac{{34}}{{25}}\)

\(\Rightarrow {\left( ? \right)^2} = \frac{{57}}{{17}} \times \frac{{34}}{{75}} - \frac{{34}}{{25}}\)

\(\Rightarrow {\left( ? \right)^2} = \frac{{38}}{{25}} - \frac{{34}}{{25}} = \frac{4}{{25}}\)

⇒ ? = 2/5

Hence, the required answer is 2/5.