Question:

“\( \oplus \)” means “-”, “\( \otimes \)” means “:”,
If “\( \Delta \)” means “+”, and “\( \nabla \)” means “×”,
then, the value of the expression \( \Delta 2 \oplus 3 \Delta ((4 \otimes 2) \nabla 4) \) =

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When dealing with custom operators, always substitute the symbols with their respective mathematical operations and solve step by step.
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The Correct Option is D

Solution and Explanation

We need to evaluate the expression \( \Delta 2 \oplus 3 \Delta ((4 \otimes 2) \nabla 4) \), using the given operations:
1. Step 1: Break down the operations
- The symbol \( \oplus \) means subtraction (“-”).
- The symbol \( \otimes \) means multiplication (“:”), so \( 4 \otimes 2 = 4 \times 2 = 8 \).
- The symbol \( \nabla \) means multiplication (“×”), so \( 8 \nabla 4 = 8 \times 4 = 32 \).
- The symbol \( \Delta \) means addition (“+”).
2. Step 2: Evaluate the expression
We now substitute the values into the expression: \[ \Delta 2 \oplus 3 \Delta (32) \] This becomes: \[ 2 + 3 - 32 = 7 \] Thus, the value of the expression is 7. Final Answer: (D)
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