Question : Directions: Which two signs should be interchanged to make the given equation correct? 34 ÷ 16 + 4 × 8 − 6 = 60
Option 1: − and ×
Option 2: + and ×
Option 3: ÷ and −
Option 4: ÷ and +
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Correct Answer: ÷ and +
Solution : Given: 34 ÷ 16 + 4 × 8 − 6 = 60
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 × ⇒ 34 ÷ 16 + 4 × 8 − 6 = 60 Solving the L.H.S of the equation – = 34 ÷ 16 + 4 − 8 × 6 = 34 ÷ 16 + 4 − 8 × 6 = 2.125 + 4 − 8 × 6 = 2.125 + 4 − 48 = 2.125 − 44 = −41.875 ≠ 60 Second option: + and × ⇒ 34 ÷ 16 + 4 × 8 − 6 = 60 Solving the L.H.S of the equation – = 34 ÷ 16 × 4 + 8 − 6 = 34 ÷ 16 × 4 + 8 − 6 = 2.125 × 4 + 8 − 6 = 8.5 + 8 − 6 = 16.5 − 6 = 10.5 ≠ 60 Third option: ÷ and − ⇒ 34 ÷ 16 + 4 × 8 − 6 = 60 Solving the L.H.S of the equation – = 34 − 16 + 4 × 8 ÷ 6 = 34 − 16 + 4 × 1.34 = 34 − 16 + 5.36 = 34 − 10.64 = 23.36 ≠ 60 Fourth option: ÷ and + ⇒ 34 ÷ 16 + 4 × 8 − 6 = 60 Solving the L.H.S of the equation – = 34 + 16 ÷ 4 × 8 − 6 = 34 + 4 × 8 − 6 = 34 + 32 − 6 = 66 − 6 = 60
Here, the fourth option satisfies the RHS of the equation. Hence, the fourth option is correct.
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