Question : Directions: Which two signs should be interchanged to make the given equation correct?
2 – 8 ÷ 4 = 6 × 3 + 18
Option 1: × and –
Option 2: = and +
Option 3: × and +
Option 4: + and –
Correct Answer: = and +
Solution :
Given:
2 – 8 ÷ 4 = 6 × 3 + 18
Replace the given symbols according to the options one by one with the original symbols in the given equation.
First option:
× and –
⇒ 2 × 8 ÷ 4 = 6 – 3 + 18
⇒ 2 × 2 = 3 + 18
⇒ 4 ≠ 21
Second option:
= and +
⇒ 2 – 8 ÷ 4 + 6 × 3 = 18
⇒ 2 – 2 + 18 = 18
⇒ 18 = 18
Third option:
× and +
⇒ 2 – 8 ÷ 4 = 6 + 3 × 18
⇒ 2 – 2 = 60
⇒ 0 ≠ 60
Fourth option:
+ and –
⇒ 2 + 8 ÷ 4 = 6 × 3 – 18
⇒ 2 + 2 = 0
⇒ 4 ≠ 0
So, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct
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