Question : Directions: In the following question, correct the equation by interchanging the signs given in the options.
7 × 6 + 5 – 12 ÷ 3 = 41
Option 1: + and ÷
Option 2: × and ÷
Option 3: + and –
Option 4: × and –
Correct Answer: + and –
Solution :
Given:
7 × 6 + 5 – 12 ÷ 3 = 41
Interchange the given symbols in the options one by one with the original symbols in the given equation.
First option:
+ and ÷
= 7 × 6 ÷ 5 – 12 + 3
= 7 × 1.2 – 12 + 3
= 8.4 – 12 + 3
= –0.6 ≠ 41
Second option:
× and ÷
= 7 ÷ 6 + 5 – 12 × 3
= 1.167 + 5 – 36
= –29.83 ≠ 41
Third option:
+ and –
= 7 × 6 – 5 + 12 ÷ 3
= 42 – 5 + 4
= 41 = R.H.S.
Fourth option:
× and –
= 7 – 6 + 5 × 12 ÷ 3
= 7 – 6 + 5 × 4
= 7 – 6 + 20
= 21 ≠ 41
So, only the third option satisfies the R.H.S. of the given equation. Hence, the third option is correct.
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