If ‘×’ means ‘−’, ‘−’ means ‘+’, ‘/’ means ‘×’, and ‘+’ means ‘÷’, which equation is correct?
- (a)18 − 6 + 3 × 2 = 27
- (b)36 / 6 − 3 + 2 × 1 = 20
- (c)16 / 2 + 4 − 1 × 3 = 6
- (d)12 × 4 − 2 + 1 = 19
Answer
Why
Correct — C.
Rule: rewrite each left side with the real operators, then apply BODMAS.
Key: / is ×, + is ÷, − is +, × is −.
16 / 2 + 4 − 1 × 3
becomes 16 × 2 ÷ 4 + 1 − 3
× and ÷ left to right: 16 × 2 = 32, 32 ÷ 4 = 8
Then 8 + 1 − 3 = 6, the printed result → option (c).
Why the others are wrong
- (a)18 − 6 + 3 × 2 = 27 — Converted, it reads 18 + 6 ÷ 3 − 2. 6 ÷ 3 = 2, so 18 + 2 − 2 = 18, not the printed 27.
- (b)36 / 6 − 3 + 2 × 1 = 20 — Converted, it reads 36 × 6 + 3 ÷ 2 − 1. 216 + 1.5 − 1 = 216.5, nowhere near the printed 20.
- (d)12 × 4 − 2 + 1 = 19 — Converted, it reads 12 − 4 + 2 ÷ 1. 2 ÷ 1 = 2, so 12 − 4 + 2 = 10, not the printed 19.
Concept
In a which-equation-is-correct item, rewrite the left side of every option with the real operators and evaluate it. The answer is the option whose value equals its printed right side.
The = sign and the number after it are not converted. Watch the slash: here / means ×, not division.
The key changes from question to question. In Reasoning Q.23 of the same paper, − means 'multiplied by'; here it means +.
Key facts
- Here × means −, − means +, / means × and + means ÷.
- Multiplication and division share a rank and run left to right: 16 × 2 ÷ 4 = 32 ÷ 4 = 8.
- Under this key the four left sides give 18, 216.5, 6 and 10.
Study next
Common traps
- Reading / as division because of its shape: in (c) that gives 16 ÷ 2 ÷ 4 + 1 − 3 = 0, and the right answer is missed
- Carrying over the key from Reasoning Q.23, where − means ×
14 Sep 2025, 12:30, Reasoning Q.3 asks which equation is correct under a symbol key too; there 42 × 28 − 30 ÷ 48 + 45 becomes 42 ÷ 28 × 30 + 48 − 45 = 48, which is keyed.
15 Sep 2025, 12:30, Reasoning Q.23 swaps the symbols with a different key and asks for the value, keyed 61.
Related PYQs
No directly related past PYQ was found.