If ‘A’ stands for ‘÷’ , ‘B’ stands for ‘x’, ‘C’ stands for ‘+’ and ‘D’ stands for ‘-‘ , what will come in place of the question mark ‘?’ in the following equation? 846 D 651 C 297 B 54 A 486=?
228
Replace each letter by the sign it stands for: A → ÷, B → ×, C → + and D → –. The expression 846 D 651 C 297 B 54 A 486 becomes 846 – 651 + 297 × 54 ÷ 486.
Apply BODMAS: multiplication and division first, from left to right. 297 × 54 = 16038 and 16038 ÷ 486 = 33.
Now the addition and subtraction from left to right: 846 – 651 = 195 and 195 + 33 = 228. Therefore the value is 228.
Check: \(\frac{297 \times 54}{486} = \frac{297}{9} = 33\) (since 486 = 54 × 9), and 846 – 651 + 33 = 228.
Hence, 228.
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