Question : Directions: In the following question you have to identify the correct response from the given premises stated according to the following symbols.
If – stands for addition, + stands for multiplication, ÷ stands for subtraction, × stands for division, which one of the following equations is correct?
Option 1: 5 + 2 – 12 ÷ 6 × 2 = 13
Option 2: 5 + 2 – 12 × 6 ÷ 2 = 10
Option 3: 5 ÷ 2 + 12 × 6 – 2 = 4
Option 4: 5 – 2 +12 × 6 ÷ 2 = 27
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Correct Answer: 5 + 2 – 12 × 6 ÷ 2 = 10
Solution :
Given:
– stands for addition, + stands for multiplication, ÷ stands for subtraction, × stands for division.
Replace the given symbols in the options one by one with the original symbols in the given equation.
First option:
5 + 2 – 12 ÷ 6 × 2 = 13
On replacing the symbols, we get –
= 5 × 2 + 12 – 6 ÷ 2
= 5 × 2 + 12 – 3
= 10 + 12 – 3
= 19 ≠ 13
Second option:
5 + 2 – 12 × 6 ÷ 2 = 10
On replacing the symbols, we get –
= 5 × 2 + 12 ÷ 6 – 2
= 5 × 2 + 2 – 2
= 10 + 2 – 2
= 10
Third option:
5 ÷ 2 + 12 × 6 – 2 = 4
On replacing the symbols, we get –
= 5 – 2 × 12 ÷ 6 + 4
= 5 – 2 × 2 + 4
= 5 – 4 + 4
= 5 ≠ 4
Fourth option:
5 – 2 + 12 × 6 ÷ 2 = 27
On replacing the symbols, we get –
= 5 + 2 × 12 ÷ 6 – 2
= 5 + 2 × 2 – 2
= 5 + 4 – 2
= 7 ≠ 27
Therefore, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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