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    ​Which two signs should be interchanged to make the following equation correct?658 × 14 ÷ 3 − 32 + 56 = 165​
    Question

    Which two signs should be interchanged to make the following equation correct?
    658 × 14 ÷ 3 − 32 + 56 = 165

    A.

    ÷ and +

    B.

    ÷ and

    C.

    ÷ and ×

    D.

    ÷ and =

    Correct option is C

    Logic: interchange mathematical operators and solve as per BODMAS rule.
    Operation preference wiseSymbolBrackets[],,()Orders,of(power),(root),ofDivision÷Multiplication×Addition+Subtraction\begin{array}{|c|c|} \hline \textbf{Operation preference wise} & \textbf{Symbol} \\\hline Brackets &[],{}, () \\ \hline Orders, of & (power), √ (root) , of \\ \hline Division& ÷ \\ \hline Multiplication & × \\ \hline Addition & + \\ \hline Subtraction & - \\\hline \end{array}​​
    Check option A,​÷ and +​
    Given:
    658 × 14 ÷ 3 − 32 + 56 = 165
    After interchanging,
    658 × 14 + 3 − 32 ÷ 56 = 165
    Here, 32 is perfectly not divisible by 56.
    So, its not correct option.
    Check option B, ​÷ and −​
    Given:
    658 × 14 ÷ 3 − 32 + 56 = 165
    After interchanging,
    658 × 14 - 3 ÷ 32 + 56 = 165
    Here, 3 is perfectly not divisible by 32.
    So, its not correct option.
    Check option C,÷ and ×​
    Given:
    658 × 14 ÷ 3 − 32 + 56 = 165
    After interchanging,
    658 ÷ 14 × 3 − 32 + 56 = 165
    47 × 3 − 32 + 56 = 165
    141 − 32 + 56 = 165
    165=165
    So, its correct option.
    Check option D,​​÷ and =​
    Given:
    658 × 14 ÷ 3 − 32 + 56 = 165
    After interchanging,
    658 × 14 = 3 − 32 + 56 ÷ 165
    Here, 56 is perfectly not divisible by 165.
    So, its not correct option.
    Thus, correct option is (c).

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