If ‘A’ stands for ‘÷’, ‘B’ stands for ‘×’, ‘C’ stands for ‘+’ and ‘D’ stands…
2025
If ‘A’ stands for ‘÷’, ‘B’ stands for ‘×’, ‘C’ stands for ‘+’ and ‘D’ stands for ‘−’, then the resultant of which of the following would be 18?
- A.
56 C 8 B 7 A 3 D 6
- B.
56 D 8 A 7 B 3 C 6
- C.
56 A 8 D 7 C 3 B 6
- D.
56 B 8 D 7 C 3 A 6
Show answer & explanation
Correct answer: C
Concept: When an expression mixes multiplication or division with addition or subtraction, the standard order of operations (BODMAS/PEMDAS) requires every multiplication and division to be carried out first, strictly left to right, and only afterward every addition and subtraction, again left to right.
Replace each letter in 56 A 8 D 7 C 3 B 6 with its assigned symbol: A → ÷, D → −, C → +, B → ×. The arrangement becomes 56 ÷ 8 − 7 + 3 × 6.
Scanning left to right, complete every multiplication and division first: 56 ÷ 8 = 7 and 3 × 6 = 18. The expression now reads 7 − 7 + 18.
Complete the remaining addition and subtraction left to right: 7 − 7 = 0, then 0 + 18 = 18.
The resultant of this arrangement is 18, which is exactly the value the question asks for.
Cross-check: decoding and evaluating the remaining three arrangements the same way confirms that none of them equal 18:
Arrangement | Decoded expression | Result |
|---|---|---|
56 C 8 B 7 A 3 D 6 | 56 + 8 × 7 ÷ 3 − 6 | ≈ 68.67 |
56 D 8 A 7 B 3 C 6 | 56 − 8 ÷ 7 × 3 + 6 | ≈ 58.57 |
56 B 8 D 7 C 3 A 6 | 56 × 8 − 7 + 3 ÷ 6 | 441.5 |
Since 56 A 8 D 7 C 3 B 6 is the only arrangement whose resultant equals 18, it is the correct answer.