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यदि 5 @ 2 ≠ 2 = 5 और 9 @ 4 ≠ 6 = 6 है, तो 7 @ 8 ≠ 4 = ?

Mathematics

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Answer

14\text{14}

Step-by-step solution

4 steps
  1. Analyze the given examples to find the pattern for the operators.

    Given:

    1. 5 \text{ @ } 2 \text{ # } 2 = 5
    2. 9 \text{ @ } 4 \text{ # } 6 = 6

    Let's assume that '@' represents multiplication (×\times) and '#' represents division (÷\div).
    For the first example:

    5×2÷2=10÷2=55 \times 2 \div 2 = 10 \div 2 = 5

    This matches the given result.

  2. Verify the assumed pattern with the second example.

    For the second example:

    9×4÷6=36÷6=69 \times 4 \div 6 = 36 \div 6 = 6

    This also matches the given result.
    The pattern is consistent: A \text{ @ } B \text{ # } C = A \times B \div C.

  3. Apply the identified pattern to the expression to be solved.

    The expression is 7 \text{ @ } 8 \text{ # } 4.
    Using the pattern, this translates to:

    7×8÷47 \times 8 \div 4
  4. Calculate the final result.

    First, perform the multiplication:

    7×8=567 \times 8 = 56

    Next, perform the division:

    56÷4=1456 \div 4 = 14

    The value of 7 \text{ @ } 8 \text{ # } 4 is 14.

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