If A denotes ‘addition’, B denotes ‘multiplication’, C denotes ‘subtraction’, and D denotes ‘division’, then what will be the value of the following expression?
46 C (6 A 7) B 5 A 24 D 6 B (27 D (9 D 3))
Show answer & explanation
Correct answer: B
Explanation
The correct answer is option 2 i.e. 17.
Given equation: 46 C (6 A 7) B 5 A 24 D 6 B (27 D (9 D 3))
Given conditions: A ⇒ +; B ⇒ ×; C ⇒ -; D ⇒ ÷
After replacing the expression becomes:
= 46 - (6 + 7) × 5 + 24 ÷ 6 × (27 ÷ (9 ÷ 3))
= 46 - (6 + 7) × 5 + 24 ÷ 6 × (27 ÷ (3))
= 46 - (6 + 7) × 5 + 24 ÷ 6 × 9
= 46 - 13 × 5 + 24 ÷ 6 × 9 = 17