Let’s play a game of cricket with numbers…

This article is in continuation to the last article on arithmetic that will aid you in your preparation for government recruitment exams. Here are some practice questions along with solutions on the Average topic.

MODEL: Questions based on cricket game

Examples

1. A cricketer has a certain average for all innings. In the 12th innings, he scores 120 runs and thereby increases his average by 5 runs. His new average is?

a) 60 b) 62 c) 65 d) 66
Ans: c

Solution:
Let the old average = x
Now average
= 11x + 120/12
=> 11x + 120/12 = x + 5
11x + 120 = 12x + 60
120 – 60 = 12x – 11x
x = 60
New average = x + 5
= 60 + 5 = 65 runs.
Shortcut method:
New Average = 120 – 5 × 11
= 120 – 55 = 65 runs.

 

2. A batsman in his 11th innings makes a score of 77 runs, thereby increasing his average score by 3. What is his average score after the 11th innings?

a) 46 b) 47 c) 48 d) 49
Ans: b

Solution: 77 – 3 × 10
= 77 – 30 = 47

 

3. The batting average for 40 innings of a cricket player is 50 runs. His highest score exceeds his lowest score by 172 runs. If these two innings are not included, the average of the remaining 38 innings is 48 runs. The highest score of the player is?

a) 170 runs b) 172 runs
c) 174 runs d) 165 runs
Ans: c

Solution: Total runs of the two
innings
= 2 × 50 + ( 50 – 48) × 38
= 100 + 76 = 176 runs
H + L = 176
H – L = 172
H = (176 + 172)/2 = 174 runs

To be continued…

 

M Venkat
Director
MVK Publications
Dilsukhnagar
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