If '+' means '−', '−' means '+', '×' means '÷', then 50 + 10 − 5 × 5 = ?
- (a)41
- (b)60
- (c)65
- (d)70
Answer
Why
Correct — A.
Rule: swap the signs first, then apply BODMAS.
Rewrite: 50 + 10 − 5 × 5 → 50 − 10 + 5 ÷ 5
Divide first: 5 ÷ 5 = 1
Subtract: 50 − 10 = 40
Add: 40 + 1 = 41 → option (a).
Why the others are wrong
- (b)60 — 60 is above 50, but the rewritten expression takes 10 away and adds back just 5 ÷ 5 = 1. Its value must be below 50.
- (c)65 — 65 comes from swapping + and − but leaving × as ×: 50 − 10 + 5 × 5 = 65. The third rule turns × into ÷.
- (d)70 — 70 cannot come from 50 − 10 + 5 ÷ 5, whose value sits below 50. After the swap the expression subtracts 10 and adds 1.
Concept
Sign-interchange questions change what each symbol means, not the order of operations. Rewrite the whole expression with the new meanings before calculating anything, then evaluate it with BODMAS.
A size check helps: after the swap this expression is 50 − 10 + 1, so the answer must be a little under 50. The options 60, 65 and 70 fall at once.
Key facts
- In this item + means −, − means + and × means ÷.
- ÷ is not redefined, and it does not appear in 50 + 10 − 5 × 5.
- After rewriting, division and multiplication still come before addition and subtraction.
Study next
Common traps
- Swapping + and − but forgetting that × now means ÷, which gives 65
- Rewriting correctly and then working left to right: (50 − 10 + 5) ÷ 5 = 9
17 Sep 2025, 16:00, Reasoning Q.23 redefines three signs the same way (10 − 5 + 3 × 2, keyed 4).
19 Sep 2025, 09:00, Reasoning Q.23 redefines all four and lands on a decimal (20 + 5 × 4 − 2, keyed 17.5).
Related PYQs
No directly related past PYQ was found.