Question : Directions: Which two signs should be interchanged to make the given equation correct? 44 ÷ 11 + 7 × 3 – 19 = 2
Option 1: + and ÷
Option 2: – and +
Option 3: = and ÷
Option 4: – and =
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Correct Answer: – and +
Solution : Given: 44 ÷ 11 + 7 × 3 – 19 = 2
Let's check the given options – First option: + and ÷ On interchanging the mathematical signs, we get – 44 + 11 ÷ 7 × 3 – 19 = 2 L.H.S. = 44 + 11 ÷ 7 × 3 – 19 = 44 + 4.71 – 19 = 29.71 ≠ 2 Second option: – and + On interchanging the mathematical signs, we get – 44 ÷ 11 – 7 × 3 + 19 = 2 L.H.S. = 44 ÷ 11 – 7 × 3 + 19 = 4 – 7 × 3 + 19 = 4 – 21 + 19 = 2 = R.H.S. Third option: = and ÷ On interchanging the mathematical signs, we get – 44 = 11 + 7 × 3 – 19 ÷ 2 R.H.S. = 11 + 7 × 3 – 19 ÷ 2 = 11 + 7 × 3 – 9.5 = 11 + 21 – 9.5 = 44 ≠ 22.5 Fourth option: – and = On interchanging the mathematical signs, we get – 44 ÷ 11 + 7 × 3 = 19 – 2 L.H.S. = 44 ÷ 11 + 7 × 3 = 4 + 7 × 3 = 4 + 21 = 25 R.H.S. = 19 – 2 = 17 = 25 ≠ 17
So, only the second option satisfies the R.H.S. of the equation. Hence, the second option is correct.
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