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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 IMHO = JNIP; IDK = JEL; and SO = TP, then IDC = _____.

  3. Examine the following data from Swahili, a Bantu language, and choose the correct statements.
    SwahiliMeaning
    ni-na-somaI am reading
    a-na-somaShe/he is reading
    tu-na-somaWe are reading
    ni-li-somaI read [past]
    a-li-somaShe/he read [past]
    ni-ta-somaI will read
    tu-ta-somaWe will read
  4. A code language is formulated thus: 

    Vowels in the original word are replaced by the next vowel from the list of vowels, A-E-I-O-U (For example, E is replaced by I and U is replaced by A). Consonants in the original word are replaced by previous consonant (For example, T is replaced by S and V is replaced by T). 

    Then how does the word, GOODMORNING appear in the coded language?

  5. In a specific language, xer dan means “big horse”, liro cas means “red tomato" and dum cas dan means “big red barn". 

    The equivalent word for barn in this language is

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