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 '−', replace each letter with its corresponding operator and evaluate the expression using the standard order of operations. What will come in place of the question mark (?)? 89 B 13 D 484 A 4 C 151 = ?
Answer: B. 1187 — ConceptIn letter-for-symbol substitution problems, each letter is first replaced by its assigned arithmetic operator. The resulting numerical expression is…
- A.
1256
- B.
1187
- C.
1192
- D.
1212
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Correct answer: B
Concept
In letter-for-symbol substitution problems, each letter is first replaced by its assigned arithmetic operator. The resulting numerical expression is then evaluated using the standard order of operations (BODMAS): multiplication and division are carried out before addition and subtraction, and operations of equal precedence are applied left to right.
Application
Substitute the given letters with their operators — A → ÷, B → ×, C → +, D → − — turning "89 B 13 D 484 A 4 C 151" into 89 × 13 − 484 ÷ 4 + 151.
Carry out the multiplication first: 89 × 13 = 1157.
Carry out the division next: 484 ÷ 4 = 121.
With both higher-precedence operations resolved, the expression reduces to 1157 − 121 + 151.
Working left to right through the remaining subtraction and addition: 1157 − 121 = 1036.
Then 1036 + 151 = 1187.
Cross-check
Verify each higher-precedence step independently: 89 × 13 can be split as 89 × (10 + 3) = 890 + 267 = 1157, matching step 2; and 484 ÷ 4 can be checked by reversing it into multiplication, 121 × 4 = 484, matching step 3. Both intermediate results hold up, so the final value stands confirmed.
So the expression evaluates to 1187.