If + means ÷, ÷ means −, − means ×, × means +, then 12 + 6 ÷ 3 − 2 × 8 =
Numerical & Reasoning Ability ·Previously asked in JKSSB Constable (Executive / Armed / IRP / SDRF) 2016
View the full solved paper: J&K Police Constable 2016 - Set A
Question
If + means ÷, ÷ means −, − means ×, × means +, then 12 + 6 ÷ 3 − 2 × 8 =
- A. −2
- B. 2
- C. 8
- D. 4 (Correct answer)
Correct Answer
Option D — 4
Detailed Solution & Explanation
The correct answer is 4.
Key Points
- Substitute the operators as defined: + becomes ÷, ÷ becomes −, − becomes ×, × becomes +.
- The expression 12 + 6 ÷ 3 − 2 × 8 therefore reads 12 ÷ 6 − 3 × 2 + 8.
- Apply BODMAS to the rewritten form: 12 ÷ 6 = 2 and 3 × 2 = 6, giving 2 − 6 + 8 = 4.
Additional Information
- The common trap is applying BODMAS to the printed symbols before substituting them — always rewrite the whole expression first.
- Within the same precedence level, work strictly left to right.
- BODMAS order: Brackets, Orders (powers and roots), Division and Multiplication, then Addition and Subtraction.
Topics covered: Operator Substitution Reasoning