Question : Directions: After interchanging which two signs, the value of the given equation will be 1. 12 × 6 – 28 + 3 ÷ 9
Option 1: × and +
Option 2: + and –
Option 3: ÷ and ×
Option 4: × and –
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Correct Answer: ÷ and ×
Solution : Given: 12 × 6 – 28 + 3 ÷ 9
Replace the given symbols in the options one by one with the original symbols in the given equation. Let's check the given options – First Option: × and + 12 × 6 – 28 + 3 ÷ 9 = 12 + 6 – 28 × 3 ÷ 9 = 12 + 6 – 28 × 0.33 = 12 + 6 – 9.34 = 8.66 ≠ 1 Second option: + and – 12 × 6 – 28 + 3 ÷ 9 = 12 × 6 + 28 – 3 ÷ 9 = 12 × 6 + 28 – 0.33 = 72 + 28 – 0.33 = 99.67 ≠ 1 Third option: ÷ and × 12 × 6 – 28 + 3 ÷ 9 = 12 ÷ 6 – 28 + 3 × 9 = 2 – 28 + 3 × 9 = 2 – 28 + 27 = 1 Fourth option: × and – 12 × 6 – 28 + 3 ÷ 9 = 12 – 6 × 28 + 3 ÷ 9 = 12 – 6 × 28 + 0.33 = 12 – 168 + 0.33 = –155.67 ≠ 1
So, only the third option satisfies the given equation. Hence, the third option is correct.
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