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: Understanding the Question:
We need to decode the mathematical operation system used in the examples to solve the final equation.

Step 2: Detailed Explanation:
Let us represent the LHS of each equation as three digits: \( A - B - C \).
- For the first equation: \( 7 - 4 - 1 \). Here, \( A = 7, B = 4, C = 1 \).
The result is \( 714 \). Notice the placement of digits:
- First digit of output is \( A \) (which is 7).
- Second digit of output is \( C \) (which is 1).
- Third digit of output is \( B \) (which is 4).
So, the pattern is: \( A - B - C \rightarrow A C B \).
- Let us check this pattern with the second equation: \( 9 - 2 - 3 \). Here, \( A = 9, B = 2, C = 3 \).
According to the pattern \( A C B \), the output should be \( 932 \). This perfectly matches the given result.
- Let us apply this pattern to the third equation: \( 8 - 0 - 4 \). Here, \( A = 8, B = 0, C = 4 \).
Applying the pattern \( A C B \), the result is \( 840 \).

Step 3: Final Answer:
(B) 840