If ‘I’ stands for ‘×’, ‘J’ stands for ‘+’, ‘K’ stands for ‘÷’ and ‘L’ stands for ‘−’, what will come in place of the question mark (?) in the following equation?
17 I (11 L 8 J 4) L 148 K 4 J 22 = ?
Correct Answer :
104
Solution :
The correct answer is 104.
To solve the equation, we must first replace each letter with its corresponding mathematical operator as defined below:
‘I’ stands for ‘×’ (Multiplication)
‘J’ stands for ‘+’ (Addition)
‘K’ stands for ‘÷’ (Division)
‘L’ stands for ‘−’ (Subtraction)
Let's write down the original equation:
After substituting the operator codes, we get:
Now, we evaluate this expression step-by-step using the standard BODMAS (Brackets, Orders, Division, Multiplication, Addition, Subtraction) rule:
Step 1: Solve the expression inside the brackets first
Substituting this back into the equation yields:
Step 2: Perform the division operation
Updating our equation, we get:
Step 3: Perform the multiplication operation
Now the equation simplifies to:
Step 4: Perform addition and subtraction from left to right
Thus, the value that replaces the question mark in the equation is 104.
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