If ‘P’ stands for ‘÷’, ‘Q’ stands for ‘×’, ‘R’ stands for ‘+’ and ‘S’ stands for ‘−’, what will come in place of the question mark ‘?’ in the following equation?
(121 S 46) R 19 Q 5 R 126 P 6 S 38 = ?
Correct Answer :
153
Solution :
To solve the given equation, we need to substitute the letters with their respective mathematical operations as defined below:
- P stands for division (÷)
- Q stands for multiplication (×)
- R stands for addition (+)
- S stands for subtraction (−)
The given equation is:
(121 S 46) R 19 Q 5 R 126 P 6 S 38 = ?
Substituting the operations into the equation, we get:
(121 − 46) + 19 × 5 + 126 ÷ 6 − 38 = ?
Now, we follow the BODMAS rule (Brackets, Orders, Division/Multiplication, Addition/Subtraction) to evaluate the expression step-by-step:
Step 1: Solve the expression inside the bracket.
121 − 46 = 75
So, the equation becomes:
75 + 19 × 5 + 126 ÷ 6 − 38 = ?
Step 2: Perform the division.
126 ÷ 6 = 21
The equation becomes:
75 + 19 × 5 + 21 − 38 = ?
Step 3: Perform the multiplication.
19 × 5 = 95
The equation becomes:
75 + 95 + 21 − 38 = ?
Step 4: Perform the additions.
75 + 95 = 170
170 + 21 = 191
The equation becomes:
191 − 38 = ?
Step 5: Perform the subtraction.
191 − 38 = 153
Therefore, the value that will come in place of the question mark is 153.
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