Question

Some equations have been solved based on a certain system. From the given options, write the answer of the equation that has not been solved-
7 \(-\) 4 \(-\) 1 = 714
9 \(-\) 2 \(-\) 3 = 932
8 \(-\) 0 \(-\) 4 = ?

• A. 804
• B. 840
• C. 408
• D. 480

Hint:

In these types of puzzles, do not perform actual subtraction. Treat the operators merely as separators of digits and track how the positions of the digits rearrange from the left-hand side to the right-hand side.

Answer 1

The Correct Option is B

Step 1: Label the three input digits.
Write each line as $A - B - C$ giving an output number.
Step 2: Decode the first line.
$7-4-1$ gives $714$. Reading the output, first digit is $A=7$, second is $C=1$, third is $B=4$. So the rule rearranges $A,B,C$ into $A,C,B$.
Step 3: Verify with the second line.
$9-2-3$ has $A=9,B=2,C=3$; the rule $ACB$ predicts $932$, which matches.
Step 4: Identify the digits of the third line.
For $8-0-4$ we have $A=8, B=0, C=4$.
Step 5: Apply the rule $ACB$.
Place $A=8$, then $C=4$, then $B=0$ to get $840$.
Step 6: Match the option.
The value $840$ is listed.
\[ \boxed{840} \]