In a cricket team of 20 players, there are a certain number of wicket-keepers. All of them can either bowl or bat or both. The number of wicket-keepers who can only bat are 3 and the number of wicket keepers who can only bowl is 1. Five players in the team are all-rounders, who can bat as well as bowl, but are not wicket-keepers. If there are atleast 5 players in the team, who can only bat or who can only bowl. Then what is the maximum number of players who can do all three things?
Options
A) 0
B) 1
C) 2
D) 3
E) 4
OA B
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In a cricket team of 20 players, there are a certain number
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- 5 players can bat and bowl but not wicket - keepers
- 5 players can only bat
- 5 players can only bowl
- All wicket - keepers can either bat or bowl
- 3 wicket - keepers can bat
- 1 wicket - keeper can bowl
For a player that do all the three
5 + 5 + 5 +3 +1 + x = 20
Where x represent the player who can do three things
19 + x = 20
x = 20 - 19
x = 1
1 player can do all the three things
Answer = option B
- 5 players can only bat
- 5 players can only bowl
- All wicket - keepers can either bat or bowl
- 3 wicket - keepers can bat
- 1 wicket - keeper can bowl
For a player that do all the three
5 + 5 + 5 +3 +1 + x = 20
Where x represent the player who can do three things
19 + x = 20
x = 20 - 19
x = 1
1 player can do all the three things
Answer = option B
