If 'A' means '−', 'B' means '÷', 'C' means '+', and 'D' means ‘×’ what is the value of the following expression? 25 B 5 C 3 D 2 A 4=?
- (a)7
- (b)14
- (c)21
- (d)28
Answer
Why
Correct — A.
Rule: decode the letters, then apply BODMAS.
25 B 5 C 3 D 2 A 4 = 25 ÷ 5 + 3 × 2 − 4
Division: 25 ÷ 5 = 5
Multiplication: 3 × 2 = 6
Then 5 + 6 − 4 = 7 → option (a).
Why the others are wrong
- (b)14 — 14 is not reached even by working left to right: (25 ÷ 5 + 3) × 2 − 4 = 8 × 2 − 4 = 12. With BODMAS the value is 7.
- (c)21 — 21 is three times 7. The decoded terms are fixed, 25 ÷ 5 = 5 and 3 × 2 = 6, and 5 + 6 − 4 leaves 7.
- (d)28 — 28 is larger than 11, the value of 25 ÷ 5 + 3 × 2 before anything is taken away. Subtracting 4 brings it down to 7, never up to 28.
Concept
Here letters stand for operators: A is −, B is ÷, C is +, D is ×. Rewrite the expression with real signs first, then evaluate.
The order of working is BODMAS: division and multiplication before addition and subtraction. 25 ÷ 5 and 3 × 2 are done first, and only then are the results added and subtracted.
The options 7, 14, 21 and 28 are all multiples of 7, so a rough estimate cannot separate them. The exact working has to decide it.
Key facts
- A = −, B = ÷, C = +, D = ×.
- Decoded: 25 ÷ 5 + 3 × 2 − 4.
- BODMAS gives 5 + 6 − 4 = 7.
Study next
Common traps
- Working left to right instead of by BODMAS, which gives 12
- Mixing up C and D, the letters for + and ×, which gives 13
13 Sep 2025, 12:30, Reasoning Q.21 codes the operators as W, X, Y and Z: 15 W 3 X 2 Y 4 decodes to 15 ÷ 3 + 2 − 4 and is keyed 3.
12 Sep 2025, 09:00, Reasoning Q.25 uses symbols instead of letters: 9 # 2 @ 3 $ 1 becomes 9 × 2 − 3 + 1, keyed 16.
Related PYQs
No directly related past PYQ was found.