If Q means "add to", J means "multiply by", T means "subtract from" (treated as the minus operation) and K means "divide by", then what is the value of 30 K 2 Q 3 J 6 T 5?

Introduction / Context:
This question again uses coded operations, where letters stand in for familiar arithmetic operations. You must decode the expression accurately and then apply the standard order of operations. The tricky part lies in interpreting the wording for T as subtraction and then carefully handling division, multiplication, addition and subtraction in the correct sequence.

Given Data / Assumptions:

• Q means "add to" (so it is +).
• J means "multiply by" (so it is ×).
• T means "subtract from", which we treat as the minus sign − in the final expression.
• K means "divide by" (so it is ÷).
• Expression: 30 K 2 Q 3 J 6 T 5.
• Standard precedence applies after decoding: division and multiplication before addition and subtraction.

Concept / Approach:
First, rewrite the entire coded expression in terms of the real arithmetic symbols. Then, evaluate using operator precedence. It is generally convenient to work from left to right while respecting the fact that division and multiplication must be resolved before addition and subtraction.

Step-by-Step Solution:
Decode the expression: 30 K 2 Q 3 J 6 T 5 becomes 30 ÷ 2 + 3 × 6 − 5.Apply division and multiplication first: 30 ÷ 2 = 15 and 3 × 6 = 18.Now the expression simplifies to 15 + 18 − 5.Evaluate from left to right: 15 + 18 = 33, then 33 − 5 = 28.

Verification / Alternative check:
We can rewrite the decoded expression as (30 / 2) + (3 * 6) - 5 to visually separate the operations and confirm our arithmetic.Calculating again, we get 15 + 18 - 5 = 28, which matches our first computation, so the result is reliable.

Why Other Options Are Wrong:
18 would correspond to stopping after computing 30 ÷ 2 = 15 and 3 × 6 = 18 and then taking only one of these partial results rather than combining them with subtraction.31 might come from incorrectly grouping as 30 ÷ (2 + 3) × 6 − 5 or from misinterpreting one of the coded operations.103 is far too large and would require treating K as multiplication or ignoring division completely, which conflicts with the definitions.

Common Pitfalls:
A frequent mistake is to misread "subtract from" as reversing the order of subtraction, which would lead to 5 − (30 ÷ 2 + 3 × 6) instead of 30 ÷ 2 + 3 × 6 − 5.Another pitfall is forgetting that division and multiplication must be resolved before performing the final addition and subtraction.

Final Answer:
After decoding and evaluating correctly, the value of the expression is 28.