If, B denotes 'addition', C denotes 'division', and D denotes 'subtraction',…
2023
If, B denotes 'addition', C denotes 'division', and D denotes 'subtraction', then what will be the value of the following equation? 12 D 4 C 2 B 3 = ?
Answer: B. 13 — Concept: In letter-for-operator coding questions, first replace each coded letter with its assigned arithmetic operator, then evaluate the resulting…
- A.
14
- B.
13
- C.
15
- D.
12
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Correct answer: B
Concept: In letter-for-operator coding questions, first replace each coded letter with its assigned arithmetic operator, then evaluate the resulting expression using the standard order of operations (BODMAS) -- division and multiplication before addition and subtraction, evaluated left to right for operators of equal precedence.
Substitute the codes: B = addition (+), C = division (÷), D = subtraction (−). So 12 D 4 C 2 B 3 becomes 12 − 4 ÷ 2 + 3.
Apply BODMAS — division is carried out before addition or subtraction: 4 ÷ 2 = 2.
The expression reduces to 12 − 2 + 3.
Evaluate left to right: 12 − 2 = 10, then 10 + 3 = 13.
Cross-check: evaluating strictly left to right without giving division precedence, (12 − 4) ÷ 2 then + 3, gives 4 + 3 = 7, which is not among the offered values — confirming that BODMAS must be applied to reach the coded expression's value.