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    If ‘□’ means ‘×’, ‘○’ means ‘+’, ‘D’ means ‘÷’ and ‘à’ means ‘–’, then which of the following equation is correct? I. 30 □ 15 ○ 40 à 100 D 10 =
    Question

    If ‘□’ means ‘×’, ‘○’ means ‘+’, ‘D’ means ‘÷’ and ‘à’ means ‘–’, then which of the following
    equation is correct?
    I. 30 □ 15 ○ 40 à 100 D 10 = 460
    II. 80 D 20 □ 30 ○ 40 à 50 = 110

    A.

    Neither I nor II

    B.

    Only I

    C.

    Only II

    D.

    Both I and II

    Correct option is C


    Evaluate the expressions:
    · ‘□’ means ‘×’ (multiplication)
    · ‘○’ means ‘+’ (addition)
    · ‘D’ means ‘÷’ (division)
    · ‘à’ means ‘–’ (subtraction)
    Analyzing Each Equation
    Equation I: 30 □ 15 ○ 40 à 100 D 10
    Replace the symbols with actual operations:
    · 30 × 15 + 40 - 100 ÷ 10
    Now, follow the order of operations:
    1. Perform multiplication and division first:
    · 30 × 15 = 450
    · 100 ÷ 10 = 10
    2. Substitute these results back into the expression:
    · 450 + 40 - 10
    3. Now perform addition and subtraction:
    · 450 + 40 = 490
    · 490 - 10 = 480
    So, Equation I evaluates to 480, not 460. Therefore, Equation I is incorrect.
    Equation II: 80 D 20 □ 30 ○ 40 à 50
    Replace the symbols with actual operations:
    · 80 ÷ 20 × 30 + 40 - 50
    Now, follow the order of operations:
    1. Perform multiplication and division first:
    · 80 ÷ 20 = 4
    · 4 × 30 = 120
    2. Substitute these results back into the expression:
    · 120 + 40 - 50
    3. Now perform addition and subtraction:
    · 120 + 40 = 160
    · 160 - 50 = 110
    So, Equation II evaluates to 110, which matches the right side of the equation.
    Conclusion
    The correct answer is: Only II

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