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    Which two signs and numbers need to be interchanged to make the following equation correct?(7)2 – (56 ÷ 8) + (9 × 6) = 18
    Question

    Which two signs and numbers need to be interchanged to make the following equation correct?

    (7)2 – (56 ÷ 8) + (9 × 6) = 18

    A.

    8 and 6, ÷ and +

    B.

    7 and 6, + and −

    C.

    7 and 9, − and +

    D.

    7 and 8, − and +

    Correct option is D

    Concept: interchange numbers and mathematical operators and solve as per BODMAS rule.
    Explanation:
    Check option A, 8 and 6, ÷ and +
    Given:
    (7)2 – (56 ÷ 8) + (9 × 6) = 18
    After interchanging,
    (7)2 – (56 + 6) ÷ (9 × 8) = 18
    or, 49 – 62÷72 \not=​ 18
    as we know 62 is perfectly not divisible by 72, so it will result in decimal.
    So, its not correct option.
    Check option B, 7 and 6, + and −
    Given:
    (7)2 – (56 ÷ 8) + (9 × 6) = 18
    After interchanging,
    (6)2 + (56 ÷ 8) - (9 × 7) = 18
    or, 36 + 7 - 63 = 18
    or, -20\not=​18
    So, its not correct option.
    Check option C, 7 and 9, − and +
    Given:
    (7)2 – (56 ÷ 8) + (9 × 6) = 18
    After interchanging,
    (9)2 + (56 ÷ 8) - (7 × 6) = 18
    or, 81 + 56 - 42 = 18
    or, 95\not=​18
    So, its not correct option.​
    Check option D, 7 and 8, − and +
    Given:
    (7)2 – (56 ÷ 8) + (9 × 6) = 18
    After interchanging,
    (8)2 + (56 ÷ 7) - (9 × 6) = 18
    Or, 64+8-54=18
    Or, 18=18
    Thus,  correct option is (d).

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