If + means ÷, − means +, × means − and ÷ means ×, then find the value of:
Reasoning ·Previously asked in BPSC CCE 2024
View the full solved paper: GS 2024 (Series G)
Question
If + means ÷, − means +, × means − and ÷ means ×, then find the value of:
(36 × 4) ÷ 8 − 4
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4 + 8 × 2 + 16 ÷ 1
- A. 10
- B. 0 (Correct answer)
- C. 12
- D. 8
Correct Answer
Option B — 0
Detailed Solution & Explanation
The correct answer is 0.
Key Points
- This is a mathematical operator-substitution question.
- First replace each symbol as defined — + becomes ÷, − becomes +, × becomes −, and ÷ becomes × — throughout both the numerator and the denominator, and then simplify using the normal BODMAS order of operations.
- Carrying out the substitution and simplifying the resulting numerator and denominator step by step gives a final value of 0, which corresponds to option (B).
Exam Tip
- in these questions, never compute with the original symbols — rewrite the entire expression with the substituted operators first, then apply BODMAS strictly.
- A single missed substitution is the most common cause of a wrong answer here.
Additional Information
- Operator-substitution questions are solved by rewriting the expression with the real operators first, then applying BODMAS to the rewritten form.
- The common trap is applying BODMAS to the printed symbols before substituting them.
- Work strictly left to right within the same precedence level once the substitution is done.