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?
45 R (26 Q 2) P 4 R 19 S 32 = ?
Correct Answer :
45
Solution :
To solve this equation, we first need to substitute the given letters with their corresponding mathematical operations as specified:
- P stands for division ()
- Q stands for multiplication ()
- R stands for addition ()
- S stands for subtraction ()
The given equation is:
45 R (26 Q 2) P 4 R 19 S 32 = ?
Substituting the operations, we get the following numerical expression:
45 + (26 2) 4 + 19 - 32
Now, we apply the BODMAS rule (Brackets, Orders, Division/Multiplication, Addition/Subtraction) to evaluate the expression step-by-step:
Step 1: Solve the expression inside the brackets first
Calculate: 26 2 = 52
So, the expression becomes:
45 + 52 4 + 19 - 32
Step 2: Perform division
Calculate: 52 4 = 13
Now, the expression is:
45 + 13 + 19 - 32
Step 3: Perform addition
Add the positive terms: 45 + 13 + 19 = 77
This simplifies the expression to:
77 - 32
Step 4: Perform subtraction
Subtract 32 from 77:
77 - 32 = 45
Thus, the value that comes in place of the question mark is 45.
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