Question : Directions: By interchanging which two digits the equation will be correct? 43 ÷ 2 × 26 – 2 = 527
Option 1: 6 and 2
Option 2: 2 and 3
Option 3: 3 and 6
Option 4: 7 and 4
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Correct Answer: 3 and 6
Solution : Given: 43 ÷ 2 × 26 – 2 = 527
Let's check the options – First option: 6 and 2 Since there are more than one 2's present in the equation, it is not clear which 2 needs to be interchanged. So, this option is incorrect. Second option: 2 and 3 Since there are more than one 2's present in the equation, it is not clear which 2 needs to be interchanged. So, this option is incorrect. Third option: 3 and 6 ⇒ 46 ÷ 2 × 23 – 2 = 527 On solving the L.H.S. of the equation – = 46 ÷ 2 × 23 – 2 = 23 × 23 – 2 = 527 Fourth option: 7 and 4 ⇒ 73 ÷ 2 × 26 – 2 = 524 On solving the L.H.S. of the equation – = 73 ÷ 2 × 26 – 2 = 36.5 × 26 – 2 = 949 – 2 = 947 ≠ 524
So, only the third option satisfies the equation. Hence, the third option is correct.
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