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    With the given interchanges, which of the following equations is correct? Interchange + and × and numbers 4 and 6.
    Question

    With the given interchanges, which of the following equations is correct?
    Interchange + and × and numbers 4 and 6.

    A.

    4 + 6 ÷ 3 – 3 × 2 = 13

    B.

    4 + 6 ÷ 3 –3 × 2 = 12

    C.

    4 + 6 ÷ 3 – 3 × 2 = 11

    D.

    4 + 6 ÷ 3 – 3 × 2 = 7

    Correct option is D

    Given:
    Interchange "+" with "×"
    Interchange numbers 4 and 6.
    Option (a): 4 + 6 ÷ 3 – 3 × 2 = 13
    After interchanging:
    6 × 4 ÷ 3 – 3 + 2 = 13
    6 × 4/3– 3 + 2 = 13
    8 – 3 + 2 = 13
    10 – 3 = 13
    7 ≠ 13
    This does not equal 13, so (a) is incorrect.
    Option (b): 4 + 6 ÷ 3 – 3 × 2 = 12
    After interchanging:
    6 × 4 ÷ 3 – 3 + 2 = 12
    6 × 4/3– 3 + 2 = 12
    8 – 3 + 2 = 12
    10 – 3 = 122
    7 = 12
    7 ≠ 12
    This does not equal 12, so (b) is incorrect.
    Option (c): 4 + 6 ÷ 3 – 3 × 2 = 11
    After interchanging:
    6 × 4 ÷ 3 – 3 + 2 = 11
    6 × 4/3 – 3 + 2 = 11
    8 – 3 + 2= 11
    10 – 3 = 11
    7 ≠ 11
    This does not equal 11, so (c) is incorrect.
    Option (d): 4 + 6 ÷ 3 – 3 × 2 = 7
    After interchanging:
    6 × 4 ÷ 3 – 3 + 2 = 7
    6 × 4/3– 3 + 2 = 7
    8 – 3 + 2 = 7
    10 – 3 = 7
    7 = 7
    This is correct, so (d) is the right answer.

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