Question : Directions: Which two signs should be interchanged to make the given equation correct? 25 – 5 × 50 ÷ 10 + 35 = 155
Option 1: × and ÷
Option 2: × and +
Option 3: × and –
Option 4: + and –
Correct Answer: × and –
Solution : Given: 25 – 5 × 50 ÷ 10 + 35 = 155
Replace the given symbols in the options one by one with the original symbols in the given equation. Let's check the options – First options: × and ÷ On interchanging the mathematical signs, we get – 25 – 5 ÷ 50 × 10 + 35 = 155 On solving the L.H.S. of the given equation – = 25 – 5 ÷ 50 × 10 + 35 = 25 – 0.1 × 10 + 35 = 25 – 1 + 35 = 59 ≠ 155 Second option: × and + On interchanging the mathematical signs, we get – 25 – 5 + 50 ÷ 10 × 35 = 155 On solving the L.H.S. of the given equation – = 25 – 5 + 50 ÷ 10 × 35 = 25 – 5 + 5 × 35 = 25 – 5 + 175 = 195 ≠ 155 Third option: × and – On interchanging the mathematical signs, we get – 25 × 5 – 50 ÷ 10 + 35 = 155 On solving the L.H.S. of the given equation – = 25 × 5 – 50 ÷ 10 + 35 = 25 × 5 – 5 + 35 = 125 – 5 + 35 = 155 Fourth option: + and – On interchanging the mathematical signs, we get – 25 + 5 × 50 ÷ 10 – 35 = 155 On solving the L.H.S. of the given equation – = 25 + 5 × 50 ÷ 10 – 35 = 25 + 5 × 5 – 35 = 25 + 25 – 35 = 15 ≠ 155
So, the third option satisfies the equation. Hence, the third option is correct.
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