If "+" means division, "−" means multiplication, "×" means addition, and "÷" means subtraction, then what is: 24 − 6 + 3 ÷ 2 × 4 = ?
- (a)14
- (b)50
- (c)20
- (d)12
Answer
Why
Correct — B.
Rule: swap each sign for its meaning, then apply BODMAS.
Substitute: 24 − 6 + 3 ÷ 2 × 4 becomes 24 × 6 ÷ 3 − 2 + 4
Multiply: 24 × 6 = 144
Divide: 144 ÷ 3 = 48
Subtract and add, left to right: 48 − 2 + 4 = 50 → option (b).
Why the others are wrong
- (a)14 — 14 comes from reading the two meanings the wrong way round: − as division and + as multiplication gives 24 ÷ 6 × 3 − 2 + 4 = 14. The stem says − means multiplication.
- (c)20 — 20 is well short of the answer. The multiplication and division part alone, 24 × 6 ÷ 3, is already 48, and − 2 + 4 then adds 2.
- (d)12 — 12 is below even the first part of the working: 24 × 6 ÷ 3 = 48. The remaining − 2 + 4 raises that to 50, so the correct signs never reach 12.
Concept
Sign substitution has two stages. First rewrite the expression with the real operations, then evaluate with BODMAS: division and multiplication before addition and subtraction, each pair left to right.
Here + means ÷, − means ×, × means + and ÷ means −. Writing that list down before you start stops you reading a sign with its usual meaning halfway through the sum.
24 × 6 ÷ 3 can also be done as 24 × 2 = 48, because dividing 6 by 3 first gives the same result. The addition and subtraction at the end must still go left to right.
Key facts
- In this item + means ÷, − means ×, × means + and ÷ means −.
- Addition and subtraction share one priority and are done left to right: 48 − 2 + 4 = 50.
- a × b ÷ c gives the same value as a × (b ÷ c).
Study next
Common traps
- Reading − as division and + as multiplication, which gives 14
- Doing 2 + 4 before the subtraction, 48 − 6 = 42, instead of working left to right
Tier-II uses this exact sign key at 19 Jan 2026, 11:00 AM, Reasoning Q.17: 36 − 2 + 4 × 10 ÷ 5 becomes 36 × 2 ÷ 4 + 10 − 5 = 23, keyed a.
Related PYQs
No directly related past PYQ was found.