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Question

If "$\oplus$" means"-", "$\otimes$" means "$\div$", If "$\triangle$" means"+", "$\nabla$" means "$\times$", then, the value of the expression $\triangle 2 \oplus 3 \triangle ((4 \otimes 2) \nabla 4)$ =

The correct answer is
7

Symbol Substitution and Expression Evaluation

First, we need to substitute the given symbols with their corresponding mathematical operations:

  • '⊕' means '-'
  • '⊗' means '÷'
  • 'Δ' means '+'
  • '⊖' means '×'

The given expression is: $Δ 2 ⊕ 3 Δ ((4 ⊗ 2) ⊖ 4)$

Substituting the symbols, the expression becomes:

$+ 2 - 3 + ((4 ÷ 2) × 4)$

Evaluating the Expression Step-by-Step

We will evaluate the expression using the order of operations (PEMDAS/BODMAS): Parentheses/Brackets, Exponents/Orders, Division/Multiplication (from left to right), Addition/Subtraction (from left to right).

  1. Evaluate the expression inside the innermost parentheses: $(4 ÷ 2)$ Calculation: \( 4 \div 2 = 2 \) The expression now is: $+ 2 - 3 + (2 × 4)$
  2. Evaluate the multiplication within the remaining parentheses: $(2 × 4)$ Calculation: \( 2 \times 4 = 8 \) The expression now is: $+ 2 - 3 + 8$
  3. Perform addition and subtraction from left to right: First, subtraction: \( 2 - 3 = -1 \) The expression becomes: $-1 + 8$ Next, addition: \( -1 + 8 = 7 \)

Therefore, the final value of the expression is 7.

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Important Questions from Coding Decoding

  1. If IMAGE and FIELD are coded as FHBNJ and EMFJG respectively then, which one among the given options is the most appropriate code for BEACH ?
  2. If HIDE and CAGE are coded as 19-23-7-11 and 5-2-17-11 respectively, then what is the code for HIGH?
  3. In the given figure, EF and HJ are coded as 30 and 80, respectively. Which one among the given options is most appropriate for the entires marked (i) and (ii)?

  4. Examine the given data. The value of X is ________ (in integer). 
    Hint: Onset clusters are not allowed in the language.

    12buzbi
    20bizbu
    22bizbuzbi
    13busti
    Xtizbuzbi
  5. P, Q, R and S are to be uniquely coded using $\alpha$ and $\beta$. If P is coded as $\alpha\alpha$ and Q as $\alpha\beta$, then R and S, respectively, can be coded as
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