If 'P' denotes 'multiplied by', 'R' denotes 'added to', 'T' denotes…
2025
If 'P' denotes 'multiplied by', 'R' denotes 'added to', 'T' denotes 'subtracted from' and 'W' denotes 'divided by', then 64 W 4 P 8 T 6 R 4 = ?
- A.
96
- B.
223
- C.
130
- D.
126
Show answer & explanation
Correct answer: D
Concept: In a symbol-substitution puzzle, first replace every letter with the arithmetic operation it stands for, then evaluate the resulting numerical expression using the standard order of operations - all multiplication and division first (left to right), followed by all addition and subtraction (left to right).
Substitute the symbols: P = multiplication (x), R = addition (+), T = subtraction (-), W = division (/), so the expression becomes 64 / 4 x 8 - 6 + 4.
Divide first (left to right among / and x): 64 / 4 = 16
Multiply next: 16 x 8 = 128
Subtract: 128 - 6 = 122
Add: 122 + 4 = 126
Cross-check: division and multiplication are adjacent and evaluated left to right first (64 / 4 x 8 = 16 x 8 = 128), then the remaining addition and subtraction are evaluated left to right (128 - 6 + 4 = 126) - the same result confirms the answer.