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If ‘A’ stands for ‘÷’, ‘B’ stands for ‘×’, ‘C’ stands for ‘+’ and ‘D’ stands for ‘−’, then the resultant of which of the following would be 75?​
Question

If ‘A’ stands for ‘÷’, ‘B’ stands for ‘×’, ‘C’ stands for ‘+’ and ‘D’ stands for ‘−’, then the resultant of which of the following would be 75?​

A.

84 B 12 C 76 D 36 A 4

B.

84 D 12 A 76 B 36 C 4

C.

84 A 12 D 76 C 36 B 4

D.

84 C 12 D 76 A 36 B 4

Correct option is C

 Given:
A = ÷
B = ×
C = +
D = −
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} ​​
Option A:
84 B 12 C 76 D 36 A 4
= 84 × 12 + 76 − 36 ÷ 4
= 1008 + 76 − 9
= 1075
Option B:
84 D 12 A 76 B 36 C 4
= 84 − 12 ÷ 76 × 36 + 4
= 84 − 5.68 + 4
= 82.32
Option C:
84 A 12 D 76 C 36 B 4
= 84 ÷ 12 − 76 + 36 × 4
= 7 − 76 + 36 × 4
= 7 − 76 + 144
= 151 − 76
= 75 (Correct)
Option D:
84 C 12 D 76 A 36 B 4
= 84 + 12 − 76 ÷ 36 × 4
= 84 + 12 − 8.44
= 87.56
Thus, correct option is (c).

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