Question : Directions: Study the following bar graph and answer the question.
The ratio of the average of the marks obtained in Biology for two terms to the average of the marks obtained in English and Mathematics for the first term only is:
Option 1: $43:92$
Option 2: $39:42$
Option 3: $29:34$
Option 4: $23:94$
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Correct Answer: $29:34$
Solution :
As per the given graph:
The marks of students in Biology in 1st term = 90
The marks of students in Biology in 2nd term = 55
The average marks of students in Biology in both terms
= $\frac{\text{ 1st term marks + 2nd term marks}}{ 2}$
= $ \frac{90+55}{ 2}=\frac{145}{2}$
The marks of students in Maths in 1st term = 100
The marks of students in English in 1st term = 55
The average marks of students in Maths and English in 1st term
= $\frac{\text{ 1st term marks in Maths + 1st term marks in English}}{ 2}$
= $\frac{100+70}{ 2}=\frac{170}{2}$
The required ratio = (The average marks of students in biology in both terms) : (The average marks of students in Maths and English in 1st terms)
The required ratio = $\frac{145}{2}$ : $\frac{170}{2}$
The required ratio = $29:34$
Hence, the correct answer is $29:34$.
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