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    Question

    Which two digits and signs can be interchanged so as to

    balance the given equation? 30 + 10 X 5 - 12 ÷ 3 = 33
    A 30 and 3; ÷ and + Correct Answer Incorrect Answer
    B 12 and 10; + and X Correct Answer Incorrect Answer
    C 10 and 33; X and ÷ Correct Answer Incorrect Answer
    D 10 and 12; - and ÷ Correct Answer Incorrect Answer

    Solution

    Given Equation: 30 + 10 X 5 - 12 ÷ 3 = 33 Interchanging the digits and signs given in option (a), we get: 3 ÷ 10 x 5 – 12 + 30 = 33   0.3 x 5 – 12 + 30 = 33 1.5 – 12 + 30 = 33 19.5 ≠ 33 Interchanging the digits and signs given in option (b), we get: 30 X 12 + 5 - 10 ÷ 3 = 33 360 + 5 - 3.33 = 33 361.67 ≠ 33 Interchanging the digits and signs given in option (c), we get: 30 + 33 ÷ 5 - 12 X 3 = 10 30 + 9.2 - 12 X 3 = 10 30 + 9.2 - 36 = 10 39.2 - 36 = 10 3.2 ≠ 10 Interchanging the digits and signs given in option (d), we get: 30 + 12 x 5 ÷ 10 – 3 = 33  30 + 6 – 3 = 33  36 – 3 = 33  33 = 33 

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