Replace special characters with mathematical signs as given in options to make it meaningful equation. 12 $ 4 & 2 = 50
- (a)×, +
- (b)+, ×
- (c)−, ×
- (d)÷, +
Answer
Why
Correct — A.
Rule: put the option's first sign in place of $ and its second in place of &, then apply BODMAS.
Option (a): 12 × 4 + 2
Multiply first: 12 × 4 = 48
Then add: 48 + 2 = 50, which matches → option (a).
Why the others are wrong
- (b)+, × — 12 + 4 × 2 = 12 + 8 = 20, since the multiplication comes first. Even worked left to right it gives 32, not 50.
- (c)−, × — 12 − 4 × 2 = 12 − 8 = 4. The multiplication is done first, and the result falls far short of 50.
- (d)÷, + — 12 ÷ 4 + 2 = 3 + 2 = 5. Dividing first gives 3, and adding 2 reaches only 5, not 50.
Concept
A symbol-substitution item gives a coded equation and asks which signs make it true. Put each option's signs into the equation in the order listed, then work it out with BODMAS: division and multiplication before addition and subtraction.
Testing the options in turn, 12 × 4 + 2 = 48 + 2 = 50 is the one that balances.
Option (b) holds the same two signs as option (a) in reverse order. Read the first sign as $ and the second as &: reversed, they give 12 + 4 × 2 = 20, not 50.
Key facts
- Division and multiplication are done before addition and subtraction (BODMAS).
- 12 × 4 + 2 = 48 + 2 = 50.
- The first sign in an option replaces the first symbol in the equation.
Study next
Common traps
- Working the equation left to right instead of multiplying first
- Putting the second sign in place of $, which turns option (a) into option (b)
18 Sep 2025, 12:30, Reasoning Q.7 uses the same wording: 16 # 4 @ 2 = 62, keyed ×, − (option c), since 16 × 4 − 2 = 62.
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