If ‘A’ stands for ‘÷’, ‘B’ stands for ‘×’, ‘C’ stands for ‘+’ and ‘D’ stands for ‘–’, what will come in place of the question mark (?) in the following equation?
8 B 9 C 49 A 7 D 25 = ?
Correct Answer :
54
Solution :
To solve the given equation, we need to substitute the letters with their respective mathematical operators and then simplify the expression using the standard order of operations (BODMAS/PEMDAS rule).
Let us first look at the given mappings for the letters:
- 'A' stands for division (÷)
- 'B' stands for multiplication (×)
- 'C' stands for addition (+)
- 'D' stands for subtraction (-)
The given equation is:
8 B 9 C 49 A 7 D 25 = ?
Substituting the operators in place of the letters, we get the following numerical expression:
8 × 9 + 49 ÷ 7 - 25
According to the BODMAS rule, we must perform division first, followed by multiplication, addition, and finally subtraction.
Step 1: Perform the division operation (49 ÷ 7):
The expression now becomes:
8 × 9 + 7 - 25
Step 2: Perform the multiplication operation (8 × 9):
The expression now becomes:
72 + 7 - 25
Step 3: Perform the addition operation (72 + 7):
The expression now becomes:
79 - 25
Step 4: Perform the final subtraction operation (79 - 25):
Therefore, the value that will come in place of the question mark is 54.
The correct option is 54.
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