Question :
Directions: In the following question you have to identify the correct response from the given premises stated according to the following symbols:
If the given interchanges are made in signs and numbers, which one of the following equations is true?
(Signs: ÷ and +, Numbers: 6 and 5)
Option 1: 18 + 6 ÷ 5 = 9.6
Option 2: 26 ÷ 5 + 6 = 6.4
Option 3: 5 ÷ 6 + 80 = 5.8
Option 4: 90 + 5 ÷ 6 = 8.6
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Correct Answer: 18 + 6 ÷ 5 = 9.6
Solution :
Interchange
÷ and +, 6 and 5
in the given options one by one.
First option:
18 + 6 ÷ 5 = 9.6
= 18 ÷ 5 + 6
= 3.6 + 6
= 9.6
Second option:
26 ÷ 5 + 6 = 6.4
= 26 + 6 ÷ 5
= 26 + 1.2
27.2 ≠ 6.4
Third option:
5 ÷ 6 + 80 = 5.8
= 6 + 5 ÷ 80
= 6 + 0.0625
6.0625 ≠ 5.8
Fourth option:
90 + 5 ÷ 6 = 8.6
= 90 ÷ 6 + 5
= 15 + 5
20 ≠ 8.6
So, only the first option satisfies the R.H.S. of the given equation. Hence, the first option is correct.
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