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Which two numbers (not digits) and which two signs should be interchanged to make the following equation correct?24 ÷ 3 × 2 + 8 - 18 = 21​​
Question

Which two numbers (not digits) and which two signs should be interchanged to make the following equation correct?
24 ÷ 3 × 2 + 8 - 18 = 21​​

A.

8, 24 and +, ÷

B.

3, 8 and -, +

C.

3, 18 and +, ×

D.

2, 3 and -, ×

Correct option is B

Given: 
24 ÷ 3 × 2 + 8 - 18 = 21​​
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} ​​
Lets check each options;
Option A)  8, 24 and +, ÷

New Expression: 8 + 3 × 2 ÷ 24 - 18 = 21

8 + 3 × 112\frac{1}{12}​ - 18 = 21

8 + 14\frac{1}{4} - 18 = 21

(Not integer)

Option B)  3, 8 and -, +
New Expression: 24 ÷ 8 × 2 - 3 + 18 = 21
3 × 2 - 3 + 18 = 21
6 - 3 + 18 = 21
24 - 3 = 21
21 = 21 (Correct)
Thus, correct option is (b).






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