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Which two numbers should be interchanged to make the given equation correct? 50 × 3 + 12 × 5 - (66 ÷ 2) + 11 × 4 - 22 = 160 (Note: Interchange sh
Question

Which two numbers should be interchanged to make the given equation correct?
50 × 3 + 12 × 5 - (66 ÷ 2) + 11 × 4 - 22 = 160 (Note: Interchange should be done of entire number and not individual digits of a given number)

A.

3 and 2

B.

5 and 3

C.

22 and 2

D.

12 and 11

Correct option is A

Given: 50 × 3 + 12 × 5 – (66 ÷ 2) + 11 × 4 – 22 = 160
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}​​
After interchanging the numbers in the given equation will be: 
Option (a): 3 and 2
50 × 2 + 12 × 5 – (66 ÷ 3) + 11 × 4 – 22 = 160
50 × 2 + 12 × 5 – 22 + 11 × 4 – 22 = 160
100 + 60 - 22 + 44 -22 = 160
160 + 44 - 22 - 22 = 160
204 - 44 = 160
160 = 160
It is correct.
Option (b): 5 and 3
50 × 5 + 12 × 3 – (66 ÷ 2) + 11 × 4 – 22 = 160
50 × 5 + 12 × 3 – 33 + 11 × 4 – 22 = 160
250 + 36 - 33 + 44 - 22 = 160
250 + 36 + 44 - 33 - 22 = 160
330 - 33 - 22 = 160
330 - 55 = 160 
275 ≠ 160
It is incorrect.
Option (c): 22 and 2
50 × 3 + 12 × 5 – (66 ÷ 22) + 11 × 4 – 2 = 160
50 × 3 + 12 × 5 – 3 + 11 × 4 – 2 = 160
150 + 60 - 3 + 44 - 2 = 160
210 + 44 - 3 - 2 = 160
254 - 5 = 160
249 ≠ 160
It is incorrect.
Option (d):12 and 11
50 × 3 + 11 × 5 – (66 ÷ 2) + 12 × 4 – 22 = 160
50 × 3 + 11 × 5 – 33 + 12 × 4 – 22 = 160
150 + 55 - 33 + 48 - 22 = 160
205 + 48 - 33 - 22 = 160 
253 - 33 - 22 = 160 
198 ≠ 160
It is incorrect.
Thus, the correct option is (a) 3 and 2.


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