If the signs ‘+’ and ‘×’ are interchanged, then which one of the following…
2023
If the signs ‘+’ and ‘×’ are interchanged, then which one of the following four equations would be correct?
- A.
36 + 5 – 560 ÷ 20 × 256 = 365
- B.
450 + 30 × 25 + 13 – 235 = 145
- C.
125 ÷ 5 × 56 + 23 – 456 = 345
- D.
12 + 52 ÷ 24 × 256 – 87 = 195
Attempted by 3 students.
Show answer & explanation
Correct answer: D
To solve this problem, we must apply the BODMAS rule (Brackets, Orders, Division, Multiplication, Addition, Subtraction) to each equation after swapping the '+' and '×' signs.
Step-by-Step Analysis of Option 4
The original equation in Option 4 is: 12 + 52 ÷ 24 × 256 - 87 = 195
Swap the signs:
Replace all '+' with '×' and all '×' with '+'.
The new equation becomes: 12 × 52 ÷ 24 + 256 - 87 = 195
Apply BODMAS:
Division: First, calculate 52 ÷ 24.
Wait, 52 ÷ 24 = 2.166... Let's re-evaluate the expression.
Actually, looking at the expression: (12 × 52) ÷ 24 + 256 - 87.
12 × 52 = 624
624 ÷ 24 = 26
Addition: Next, add 256.
26 + 256 = 282
Subtraction: Finally, subtract 87.
282 - 87 = 195
Since the result (195) matches the right-hand side of the equation, Option 4 is correct.