If ‘×’ = ‘−’, ‘−’ = ‘+’, ‘+’ = ‘÷’, ‘÷’ = ‘×’, which equation is correct?
- (a)14 + 2 − 6 × 1 = 10
- (b)12 − 4 + 2 × 2 = 12
- (c)10 × 2 + 4 − 1 = 23
- (d)20 − 2 × 3 + 4 = 18
Answer
Why
Correct — B.
Rule: read × as −, − as +, + as ÷ and ÷ as ×, then apply BODMAS.
Option (b): 12 − 4 + 2 × 2
Decoded: 12 + 4 ÷ 2 − 2
Division first: 4 ÷ 2 = 2
12 + 2 − 2 = 12, matching the right side → option (b).
Why the others are wrong
- (a)14 + 2 − 6 × 1 = 10 — Decoded, 14 + 2 − 6 × 1 becomes 14 ÷ 2 + 6 − 1 = 7 + 6 − 1 = 12, not the 10 printed.
- (c)10 × 2 + 4 − 1 = 23 — Decoded, 10 × 2 + 4 − 1 becomes 10 − 2 ÷ 4 + 1 = 10 − 0.5 + 1 = 10.5, not the 23 printed.
- (d)20 − 2 × 3 + 4 = 18 — Decoded, 20 − 2 × 3 + 4 becomes 20 + 2 − 3 ÷ 4 = 22 − 0.75 = 21.25, not the 18 printed.
Concept
In a which equation is correct item, decode every option's left side, work it out, and compare it with the printed right side.
Read the legend as "the printed sign stands for": ‘×’ = ‘−’ means a printed × is worked as a minus.
Decode the whole left side before any arithmetic, then follow BODMAS. Under this reading exactly one option balances.
Key facts
- Legend: × → −, − → +, + → ÷, ÷ → ×.
- 12 − 4 + 2 × 2 decodes to 12 + 4 ÷ 2 − 2 = 12.
- Division and multiplication come before addition and subtraction.
Study next
Common traps
- Reading the legend backwards, working a printed − as ×, under which no option balances
- Working left to right without BODMAS: 12 + 4 ÷ 2 taken as 16 ÷ 2 = 8
15 Sep 2025, 12:30, Reasoning Q.24 sets the same task with a / sign in the legend and keys 16 / 2 + 4 − 1 × 3 = 6. 19 Sep 2025, 16:00, Reasoning Q.22 keys 20 − 4 + 8 / 2 × 1 = 20.
Related PYQs
No directly related past PYQ was found.