Question : Directions: Which of the following interchange of signs would make the given equation correct?
18 × 6 – 12 ÷ 4 + 2 = –43
Option 1: – and +
Option 2: × and ÷
Option 3: × and +
Option 4: × and –
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Correct Answer: × and ÷
Solution :
Given:
18 × 6 – 12 ÷ 4 + 2 = –43
Replace the given symbols in the options one by one with the original symbols in the given equation.
First option:
– and +
Solving the L.H.S. of the equation –
= 18 × 6 + 12 ÷ 4 – 2
= 18 × 6 + 3 – 2
= 108 + 3 – 2
= 109 ≠ –43
Second option:
× and ÷
Solving the L.H.S. of the equation –
= 18 ÷ 6 – 12 × 4 + 2
= 3 – 48 + 2
= –43 = R.H.S.
Third option:
× and +
Solving the L.H.S. of the equation –
= 18 + 6 – 12 ÷ 4 × 2
= 18 + 6 – 3 × 2
= 18 + 6 – 6
= 18 – 0
= 18 ≠ –43
Fourth option:
× and –
Solving the L.H.S. of the equation –
= 18 – 6 × 12 ÷ 4 + 2
= 18 – 6 × 3 + 2
= 18 – 18 + 2
= 2 ≠ –43
So, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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