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What will come in the place of the question mark (?) in the following equation, if ‘+’ and ‘−’ are interchanged and ‘×’ and ‘÷’ are interchanged? 66
Question

What will come in the place of the question mark (?) in the following equation, if ‘+’ and ‘−’ are interchanged and ‘×’ and ‘÷’ are interchanged?
66 × 6 ÷ 3 − 128 ÷ 2 + 15 × 3 − 16 ÷ 2 + 17 = ?

A.

245

B.

224

C.

239

D.

299

Correct option is D

Information Given:
Operator change:
+ ↔ −
× ↔ ÷
Original expression:
66 × 6 ÷ 3 − 128 ÷ 2 + 15 × 3 − 16 ÷ 2 + 17
Operation preference wiseSymbolBrackets[],,()Orders, of(power),(root),ofDivision÷Multiplication×Addition+Subtraction\begin{array}{|c|c|} \hline\textbf{Operation preference wise} & \textbf{Symbol} \\\hline\text{Brackets} &[], {}, () \\ \hline \text{Orders, of} & (power), √ (root) , of \\ \hline \text{Division}& ÷ \\ \hline \text{Multiplication} & × \\\hline \text{Addition} &+ \\ \hline \text{Subtraction} & - \\\hline\end{array}​​
Step-by-step (after interchange):
66 ÷ 6 × 3 + 128 × 2 − 15 ÷ 3 + 16 × 2 − 17
Apply BODMAS:
66 ÷ 6 = 11
11 × 3 = 33
128 × 2 = 256
15 ÷ 3 = 5
16 × 2 = 32
Now:
33 + 256 − 5 + 32 − 17
= 289 − 5 + 32 − 17
= 284 + 32 − 17
= 316 − 17
= 299
Final Answer:
299
Final Correct Option:
(D)

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