Question

If the given interchanges are made in sign and numbers, which one of the four equations would be-correct?
Interchanges - Signs - and x 
- Numbers 3 and 6 
A. \(6 − 3 × 2 = 9\)
B. \(6 × 3 − 4 = 15\)
C. \(3 × 6 − 4 = 33\)
D. \(3 − 6 × 8 = 10\)
Choose the most appropriate answer from the options given below:

• A. A
• B. B
• C. C
• D. D

Answer 1

The Correct Option is D

To determine which equation is correct after the given interchanges of signs and numbers, follow these steps:

1. Analyze the Given Interchanges:
   • Signs: Interchange - and x
   • Numbers: Interchange 3 and 6
2. Apply the Interchanges to Each Option:
   1. Option A: \(6 - 3 \times 2 = 9\)
      • Change Signs: \(6 \times 3 - 2\)
      • Change Numbers: \(3 \times 6 - 2 = 18 - 2 = 16\) (Not equal to 9)
   2. Option B: \(6 \times 3 - 4 = 15\)
      • Change Signs: \(6 - 3 \times 4\)
      • Change Numbers: \(3 - 6 \times 4 = 3 - 24 = -21\) (Not equal to 15)
   3. Option C: \(3 \times 6 - 4 = 33\)
      • Change Signs: \(3 - 6 \times 4\)
      • Change Numbers: \(6 - 3 \times 4 = 6 - 12 = -6\) (Not equal to 33)
   4. Option D: \(3 - 6 \times 8 = 10\)
      • Change Signs: \(3 \times 6 - 8\)
      • Change Numbers: \(6 \times 3 - 8 = 18 - 8 = 10\) (Equal to 10, thus correct)
3. Conclusion: Based on the interchanges, Option D is the correct equation.