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?
342 A 2 C 125 B 1 D 43 = ?
Correct Answer :
253
Solution :
To find the value that replaces the question mark (?) in the given equation, we need to substitute the specified letters with their corresponding mathematical operators and then simplify the expression using the BODMAS/PEMDAS rule.
Let's first list the given letter representations for the operators:
‘A’ represents division (÷)
‘B’ represents multiplication (×)
‘C’ represents addition (+)
‘D’ represents subtraction (−)
The given equation is:
342 A 2 C 125 B 1 D 43 = ?
Substituting the operators in place of the letters, we get the mathematical expression:
Now, we apply the BODMAS rule (Brackets, Orders, Division/Multiplication, Addition/Subtraction) to evaluate the expression step-by-step:
Step 1: Perform the Division (A)
Divide 342 by 2:
The expression becomes:
Step 2: Perform the Multiplication (B)
Multiply 125 by 1:
The expression now becomes:
Step 3: Perform the Addition (C)
Add 171 and 125:
The expression now becomes:
Step 4: Perform the Subtraction (D)
Subtract 43 from 296:
Therefore, the value that replaces the question mark (?) is 253.
The correct option is 253.
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