Question

What is the difference between the average runs of top two openers in terms of \(\textit{highest runs}\), if matches having 0's were ignored?

• A. 11.1
• B. 13.7
• C. 4.7
• D. None of these

Hint:

When an average is asked "ignoring 0's", divide total runs by the number of innings \(\textit{with positive scores}\) (\(= \text{matches} - \text{ducks}\)), not by 20.

Answer 1

The Correct Option is D

Step 1: Identify the top two openers by \(\textit{highest runs.}\)
From the table: Highest runs — A: \(141\), B: \(130\), D: \(94\), E: \(85\), C: \(52\). 
Thus the top two are A and B. 

Step 2: Compute their averages ignoring ducks (0's). 
A: Total \(= 994\), 0's \(=1\) \(\Rightarrow\) innings counted \(=20-1=19\). 
Average(A) \(= \dfrac{994}{19} = 52.3158\ldots\). 
B: Total \(= 751\), 0's \(=2\) \(\Rightarrow\) innings counted \(=20-2=18\). 
Average(B) \(= \dfrac{751}{18} = 41.7222\ldots\). 

Step 3: Take the difference. 
Difference \(= 52.3158 - 41.7222 = 10.5936\approx 10.6\). 
This value is not among the options given. 

Step 4: Conclude. 
\(\boxed{\text{None of these}}\).