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 division, × stands for addition, – stands for multiplication, and ÷ stands for subtraction, which of the following is correct?
Option 1: 25 × 3 – 7 ÷ 8 + 12 = 18
Option 2: 25 + 3 × 7 – 8 ÷ 12 = 52.33
Option 3: 25 – 3 ÷ 7 × 8 + 12 = 132
Option 4: 25 ÷ 3 × 7 – 8 + 12 = 19.3
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Correct Answer: 25 + 3 × 7 – 8 ÷ 12 = 52.33
Solution :
Given:
+ stands for division, × stands for addition, – stands for multiplication, and ÷ stands for subtraction
Let's check the options –
First option:
25 × 3 – 7 ÷ 8 + 12 = 18
= 25 + 3 × 7 – 8 ÷ 12
= 25 + 3 × 7 – 0.66
= 25 + 21 – 0.66
= 45.34 ≠ 18
Second option:
25 + 3 × 7 – 8 ÷ 12 = 52.33
= 25 ÷ 3 + 7 × 8 – 12
= 8.33 + 7 × 8 – 12
= 8.33 + 56 – 12
= 52.33
Third option:
25 – 3 ÷ 7 × 8 + 12 = 132
= 25 × 3 – 7 + 8 ÷ 12
= 25 × 3 – 7 + 0.66
= 75 – 7 + 0.66
= 68.66 ≠ 132
Fourth option:
25 ÷ 3 × 7 – 8 + 12 = 19.3
= 25 – 3 + 7 × 8 ÷ 12
= 25 – 3 + 7 × 0.66
= 25 – 3 + 4.62
= 26.62 ≠ 19.3
Here, only the second option satisfies the R.H.S. of the given equation. Hence, the second option is correct.
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