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Which two signs should be interchanged to make the following equation correct?33 + 4 × 21 ÷ 3 − 17 = 122
Question

Which two signs should be interchanged to make the following equation correct?
33 + 4 × 21 ÷ 3 − 17 = 122

A.

– and ×

B.

÷ and –

C.

+ and ×

D.

+ and –

Correct option is C

Given:
33 + 4 × 21 ÷ 3 − 17 = 122
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:
33 + 4 × 21 ÷ 3 − 17 = 122
After interchanging,
33 + 4 - 21 ÷ 3 × 17 = 122
37 - 21 × 17 = 122
37 - 357 = 122
-320≠122
So, its not correct option.
Check option B, ÷ and –
Given:
33 + 4 × 21 ÷ 3 − 17 = 122
After interchanging,
33 + 4 × 21 - 3 ÷ 17 = 122
Here, 3 is perfectly not divisible by 17.
So, its not correct option.
Check option C,+ and ×
Given:
33 + 4 × 21 ÷ 3 − 17 = 122
After interchanging,
33 × 4 + 21 ÷ 3 − 17 = 122
132 + 7 − 17 = 122
122=122
So, its correct option.
Check option D,+ and –
Given:
33 + 4 × 21 ÷ 3 − 17 = 122
After interchanging,
33 - 4 × 21 ÷ 3 + 17 = 122
50 - 4 × 7 = 122
50 - 28 = 122
22≠122
So, its not correct option.
Thus, correct option is (c).

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