Question : Directions: Which two signs should be interchanged to make the given equation correct?
114 ÷ 85 + 5 × 4 – 33 = 149
Option 1: ÷ and +
Option 2: ÷ and –
Option 3: + and ×
Option 4: – and +
Correct Answer: ÷ and +
Solution : Given: 114 ÷ 85 + 5 × 4 – 33 = 149
Interchange the signs according to the given option. Let's check each option – First option: ÷ and + 114 + 85 ÷ 5 × 4 – 33 = 149 L.H.S.→114 + 17 × 4 – 33 114 + 68 – 33 149 = 149 Second option: ÷ and – 114 – 85 + 5 × 4 ÷ 33 = 149 L.H.S.→114 – 85 + 5 × 0.121 144 – 85 + 0.605 = 59.605 59.605 ≠ 149 Third Option: + and × 114 ÷ 85 × 5 + 4 – 33 = 149 L.H.S.→1.34 × 5 + 4 – 33 6.7 + 4 – 33 = –22.3 –22.3 ≠ 149 Fourth option: – and + 114 ÷ 85 – 5 × 4 + 33 = 149 L.H.S.→1.34 – 20 + 33 = 14.34 14.34 ≠ 149
So, only the first option satisfies the equation. Hence, the first option is correct.
Hence, the first option is correct.
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