Question : Directions: Which two signs should be interchanged to make the following equation correct? 18 – 60 ÷ 45 + 6 × 128 = 138
Option 1: + and ×
Option 2: + and ÷
Option 3: × and –
Option 4: – and =
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Correct Answer: + and ×
Solution : Given: 18 – 60 ÷ 45 + 6 × 128 = 138
Let's check each option – First Option: + and × On interchanging the mathematical signs, we get – 18 – 60 ÷ 45 × 6 + 128 = 138 L.H.S. = 18 – 60 ÷ 45 × 6 + 128 = 18 – 8 + 128 = 138 L.H.S = R.H.S Second Option: + and ÷ On interchanging the mathematical signs, we get – 18 – 60 + 45 ÷ 6 × 128 = 138 L.H.S. = 18 – 60 + 45 ÷ 6 × 128 = 18 – 60 + 960 = 918 L.H.S. ≠ R.H.S. Third Option: × and – On interchanging the mathematical signs, we get – 18 × 60 ÷ 45 + 6 – 128 = 138 L.H.S. = 18 × 60 ÷ 45 + 6 – 128 = 24 + 6 – 128 = –98 L.H.S. ≠ R.H.S. Fourth Option: – and = On interchanging the mathematical signs, we get – 18 = 60 ÷ 45 + 6 × 128 – 138 R.H.S. = 60 ÷ 45 + 6 × 128 – 138 = 1.33 + 6 × 128 – 138 = 1.33 + 768 – 138 = 631.33 L.H.S. ≠ R.H.S.
So, only the first option satisfies the equation. Hence, the first option is correct.
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