If '×' means '+', '+' means '−', '−' means '÷', then 8 × 4 + 2 − 2 = ?
- (a)10
- (b)8
- (c)6
- (d)11
Answer
Why
Correct — D.
Rule: replace × with +, + with −, − with ÷, then apply BODMAS.
8 × 4 + 2 − 2 becomes 8 + 4 − 2 ÷ 2
Divide first: 2 ÷ 2 = 1
Then left to right: 8 + 4 − 1 = 11 → option (d).
Why the others are wrong
- (a)10 — 10 is 8 + 4 − 2, which drops the final ÷ 2. The division comes first: 2 ÷ 2 = 1, so 12 − 1 = 11.
- (b)8 — 8 comes from leaving the last − as minus: 8 + 4 − 2 − 2 = 8. The stem redefines − as ÷.
- (c)6 — 6 would need 6 taken from 8 + 4 = 12, but the last term is 2 ÷ 2 = 1. The value is 11.
Concept
This legend redefines three symbols: × becomes +, + becomes −, and − becomes ÷. Convert the whole expression before any arithmetic, then evaluate by BODMAS.
The converted line, 8 + 4 − 2 ÷ 2, ends in a division. Doing it first (2 ÷ 2 = 1) is what separates the keyed 11 from 10.
The legend gives no new meaning to ÷, and none is needed: ÷ does not appear in the printed expression, only in the converted one.
Key facts
- BODMAS puts division before addition and subtraction, wherever it sits in the line.
- 8 + 4 − 2 ÷ 2 = 8 + 4 − 1 = 11.
- Convert every symbol in one pass before calculating.
Study next
Common traps
- Working strictly left to right and subtracting before dividing
- Leaving one symbol unconverted, which gives 8 here
17 Sep 2025, 16:00, Reasoning Q.23 uses a three-symbol legend of the same kind (+ → ×, × → −, − → ÷): 10 − 5 + 3 × 2 becomes 10 ÷ 5 × 3 − 2 = 4 (keyed d).
Related PYQs
No directly related past PYQ was found.