Question

What is the minimum number of innings played by all the 5 players taken together?

• A. 11
• B. 13
• C. 16
• D. 17

Answer 1

The correct option is B

13

In case of Pujara:
Lowest score = 30
Highest score = 90
Average score = 50
$\therefore$ Total score if he played 2 innings = 50 $\times$ 2 = 100
(But 90 + 30 = 120; therefore there are more than 2 innings played)
$\therefore$ Third innings score 150 - (90 + 30)= 30 runs
Hence, Pujara played minimum 3 innings with scores of 30, 30 and 90 runs repectively.
Similarly, minimum innings for other players can also be calculated:
$\begin{array}{cc}\text{Vijay}& \text{Lowest}=20,\text{highest}=80,\text{average}=50\\ & \text{Minimum innings}=2(20\text{runs},80\text{runs})\\ \text{Pujara}& \text{Lowest}=30,\text{highest}=90,\text{average}=50\\ & \text{Minimum innings}=3(30\text{runs},30\text{runs},90\text{runs})\\ \text{Kohli}& \text{Lowest}=10,\text{highest}=60,\text{average}=30\\ & \text{Minimum innings}=3(10\text{runs},20\text{runs},60\text{runs})\\ \text{Rahane}& \text{Lowest}=20,\text{highest}=70,\text{average}=40\\ & \text{Minimum innings}=3(20\text{runs},30\text{runs},70\text{runs})\\ \text{Sharma}& \text{Lowest}=10,\text{highest}=30,\text{average}=20\\ & \text{Minimum innigs}=2(10\text{runs},30\text{runs})\end{array}$
Minimum innings = 2+3+3+3+2=13