Question : Directions: Which of the following interchange of signs would make the given equation correct?
13 + 26 × 2 – 5 ÷ 4 = 6
Option 1: ÷ and +
Option 2: + and –
Option 3: × and –
Option 4: × and ÷
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Correct Answer: × and ÷
Solution :
Given:
13 + 26 × 2 – 5 ÷ 4 = 6
Replace the given symbols in the options one by one with the original symbols in the given equation.
First option:
÷ and +
= 13 ÷ 26 × 2 – 5 + 4
= 1 – 5 + 4
= 0 ≠ 6
Second option:
+ and –
= 13 – 26 × 2 + 5 ÷ 4
= 13 – 52 + 1.25
= –37.75 ≠ 6
Third option:
× and –
= 13 + 26 – 2 × 5 ÷ 4
= 39 – 2.50
= 36.50 ≠ 6
Fourth option:
× and ÷
= 13 + 26 ÷ 2 – 5 × 4
= 13 + 13 – 20
= 6 = R.H.S.
So, only the fourth option satisfies the R.H.S. of the given equation. Hence, the fourth option is correct.
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