Question : Directions: Which of the following interchange of signs would make the given equation correct?
5 + 3 × 8 – 12 ÷ 4 = 3
Option 1: – and ÷
Option 2: + and ×
Option 3: + and ÷
Option 4: + and –
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Correct Answer: – and ÷
Solution :
Given:
5 + 3 × 8 – 12 ÷ 4 = 3
Replace the given signs in the options one by one with those in the given equation.
First option:
– and ÷
= 5 + 3 × 8 ÷ 12 – 4
= 5 + 2 – 4
= 7 – 4
= 3
Second option:
+ and ×
= 5 × 3 + 8 – 12 ÷ 4
= 5 × 3 + 8 – 3
= 15 + 8 – 3
= 23 – 3
= 20 ≠ 3
Third option:
+ and ÷
= 5 ÷ 3 × 8 – 12 + 4
= 1.67 × 8 – 12 + 4
= 13.36 – 12 + 4
= 5.36 ≠ 3
Fourth option:
+ and –
= 5 – 3 × 8 + 12 ÷ 4
= 5 – 3 × 8 + 3
= 5 – 24 + 3
= –16 ≠ 3
Here, only the first option satisfies the R.H.S. of the given equation. Hence, the first option is correct.
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