Question : Directions: The interchange of signs and numbers would make the given equation correct. 6 + 2 – 3 = 16
Option 1: + and –, 2 and 3
Option 2: × and +, 3 and 2
Option 3: ÷ and –, 3 and 2
Option 4: × and –, 2 and 3
Correct Answer: × and +, 3 and 2
Solution : Given: 6 + 2 – 3 = 16
Replace the given symbols and numbers in the options one by one with the original symbols and numbers in the given equation. First option: + and –, 2 and 3 ⇒ 6 – 3 + 2 = 16 Solving the L.H.S. of the equation – = 8 – 3 = 5 ≠ 16 Second option: × and +, 3 and 2 ⇒ 6 × 3 – 2 = 16 Solving the L.H.S. of the equation – = 18 – 2 = 16 Third option: ÷ and –, 3 and 2 ⇒ 6 + 3 ÷ 2 = 16 Solving the L.H.S. of the equation – = 6 + 1.5 = 7.5 ≠ 16 Fourth option: × and –, 2 and 3 ⇒ 6 + 3 × 2 = 16 Solving the L.H.S. of the equation – = 6 + 6 = 12 ≠ 16
Here, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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