What will replace the question mark (?) in the following equation if ‘+’ and…
2026
What will replace the question mark (?) in the following equation if ‘+’ and ‘−’ are interchanged, and ‘×’ and ‘÷’ are interchanged?
424 ÷ 2 + 966 × 3 − 23 = ?
Answer: B. 549 — ConceptWhen operation signs are interchanged, replace every specified symbol before calculating. Then use the standard order of operations: multiplication and…
- A.
649
- B.
549
- C.
545
- D.
645
Attempted by 47 students.
Show answer & explanation
Correct answer: B
Concept
When operation signs are interchanged, replace every specified symbol before calculating.
Then use the standard order of operations: multiplication and division before addition and subtraction, working from left to right within the same priority.
Application
Replace the operators: + becomes −, − becomes +, × becomes ÷, and ÷ becomes ×.
The rewritten expression is 424 × 2 − 966 ÷ 3 + 23.
Evaluate multiplication and division first: 848 − 322 + 23.
Now work from left to right: 848 − 322 = 526, and 526 + 23 = 549.
Cross-check
Check by regrouping the computed parts: 424 × 2 = 848 and 966 ÷ 3 = 322; then 848 + 23 = 871 and 871 − 322 = 549. Both paths agree.
Result
The required value is 549.