Question : Directions: By interchanging the given two signs which of the following equations will be correct? + and ×
Option 1: 7 + 5 × 2 – 8 ÷ 4 = 36
Option 2: 95 ÷ 19 + 5 × 3 – 6 = 22
Option 3: 13 + 4 × 5 – 6 ÷ 2 = 51
Option 4: 4 × 3 + 6 – 7 ÷ 1 = 18
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Correct Answer: 95 ÷ 19 + 5 × 3 – 6 = 22
Solution : Let's check the options – First option: 7 + 5 × 2 – 8 ÷ 4 = 36 On interchanging the given signs, the equation becomes – ⇒ 7 × 5 + 2 – 8 ÷ 4 = 36 Solving the L.H.S. of the equation – = 7 × 5 + 2 – 2 = 35 + 2 – 2 = 35 ≠ 36 Second option: 95 ÷ 19 + 5 × 3 – 6 = 22 On interchanging the given signs, the equation becomes – ⇒ 95 ÷ 19 × 5 + 3 – 6 = 22 Solving the L.H.S. of the equation – = 5 × 5 + 3 – 6 = 25 + 3 – 6 = 22 Third option: 13 + 4 × 5 – 6 ÷ 2 = 51 On interchanging the given signs, the equation becomes – ⇒ 13 × 4 + 5 – 6 ÷ 2 = 51 Solving the L.H.S. of the equation – = 13 × 4 + 5 – 3 = 52 + 5 – 3 = 54 ≠ 51 Fourth option: 4 × 3 + 6 – 7 ÷ 1 = 18 On interchanging the given signs, the equation becomes – ⇒ 4 + 3 × 6 – 7 ÷ 1 = 18 Solving the L.H.S. of the equation – = 4 + 3 × 6 – 7 = 4 + 18 – 7 = 15 ≠ 18
So, only the equation in the second option satisfies the R.H.S. of the given equation. Hence the second option is correct.
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