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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