Custom symbols — If Q = “+”, J = “×”, T = “−”, K = “÷”, evaluate: 30 K 2 Q 3 J 6 T 5
Verbal Reasoning
Mathematical Operations
Difficulty: Easy
Choose an option
-
A18
-
B28
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C31
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D103
Answer
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 = 28Verification / 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