Question
Download Solution PDFWhich of the following interchanges of signs would make the given equation correct?
3 - 6 ÷ 9 + 6 × 2 = 6
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFGiven:
3 - 6 ÷ 9 + 6 × 2 = 6
Calculation:
By option Method:
Option I: After interchanging - and ×
⇒ 3 × 6 ÷ 9 + 6 - 2 = 6
⇒ 2 + 6 - 2 = 6
⇒ 6 = 6
This is correct the equation.
Option II: After interchanging ÷ and +
⇒ 3 - 6 + 9 ÷ 6 × 2 = 6
⇒ 3 - 6 + 3 = 6
⇒ 0 ≠ 6
This is not correct the equation.
Option III: After interchanging + and ×
⇒ 3 - 6 ÷ 9 × 6 + 2 = 6
⇒ 3 - 4 + 2 = 6
⇒ 1 ≠ 6
This is not correct the equation.
Option IV: After interchanging ÷ and ×
⇒ 3 - 6 x 9 + 6 ÷ 2 = 6
⇒ 3 - 0.66 + 3 = 6
⇒ 5.33 ≠ 6
This is not correct the equation.
∴ Interchanges (- , x) would make the given equation correct.
Last updated on Jul 18, 2025
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