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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. In a particular code, if ‘RAMAN” is written as 52 and “MAP” is written as 33, then how will you code “CLICK”?
  4. If 'KARAMCHAND' is coded as 'ICPCKEFCLF' what should be the code of 'CREATION'?
  5. In a certain type of code, 'they play cricket together' is written as ‘mv kb lb iv'; 'they score maximum points' is written as 'gb lb mb kv'; ‘cricket score earned points' is written as 'mb gv kb kv' and ‘points are earned together' is written as 'kv mv ob gv.' 

    What is the code for ‘earned maximum points'?

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