Custom symbols — If Q = “+”, J = “×”, T = “−”, K = “÷”, evaluate: 30 K 2 Q 3 J 6 T 5

Difficulty: Easy

Correct Answer: 28

Explanation:


Introduction / Context:
Replace each letter with its corresponding arithmetic operation and apply standard precedence rules (division/multiplication before addition/subtraction, with brackets first if any).


Given Data / Assumptions:

  • Q → +
  • J → ×
  • T → −
  • K → ÷


Concept / Approach:
Perform replacements and compute in the natural order of operations.


Step-by-Step Solution:

Expression becomes: 30 ÷ 2 + 3 × 6 − 5Compute: 30 ÷ 2 = 15; 3 × 6 = 18Now: 15 + 18 − 5 = 28


Verification / Alternative check:
Grouping as (30 ÷ 2) + (3 × 6) − 5 also yields 28.


Why Other Options Are Wrong:

  • 31 or 18 occur if addition/subtraction is done before handling ×/÷ or if one mapping is misread.


Common Pitfalls:

  • Treating letters as variables instead of operator codes.


Final Answer:
28

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