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Each student in a class of 40 plays at least one indoor game chess, ca
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06 Apr 2023, 01:30
06 Apr 2023, 01:30
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Each student in a class of 40 plays at least one indoor game chess, carrom and scrabble. 18 play chess, 20 play scrabble and 27 play carrom. 7 play chess and scrabble, 12 play scrabble and carrom and 4 play chess, carrom and scrabble. What is the number of students who play chess and carrom?
(A) 10
(B) 12
(C) 13
(D) 14
(E) 17
(A) 10
(B) 12
(C) 13
(D) 14
(E) 17
Re: Each student in a class of 40 plays at least one indoor game chess, ca
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06 Apr 2023, 22:06
06 Apr 2023, 22:06
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Each student in a class of 40 plays at least one indoor game chess, carrom and scrabble. 18 play chess, 20 play scrabble and 27 play carrom. 7 play chess and scrabble, 12 play scrabble and carrom and 4 play chess, carrom and scrabble. What is the number of students who play chess and carrom?
Its a overlap set question involving three variables.
Each student plays atleast one indoor game.
Total = sum of students who play Chess, Carrom and Scrabble - sum students who play two games + Students who play all of them.
=> 40 = 18 + 20 + 27 - (7 + 12 + x) + 4
=> x = 10
Answer A
Its a overlap set question involving three variables.
Each student plays atleast one indoor game.
Total = sum of students who play Chess, Carrom and Scrabble - sum students who play two games + Students who play all of them.
=> 40 = 18 + 20 + 27 - (7 + 12 + x) + 4
=> x = 10
Answer A
Each student in a class of 40 plays at least one indoor game chess, ca
[#permalink]
06 Apr 2023, 23:44
06 Apr 2023, 23:44
4
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[quote="Bunuel"]Each student in a class of 40 plays at least one indoor game chess, carrom and scrabble. 18 play chess, 20 play scrabble and 27 play carrom. 7 play chess and scrabble, 12 play scrabble and carrom and 4 play chess, carrom and scrabble. What is the number of students who play chess and carrom?
(A) 10
(B) 12
(C) 13
(D) 14
(E) 17
This question can be best solve by Venn Diagram. I am attaching 2 methods to solve the same.
With warm regards,
Ks
Posted from my mobile device
(A) 10
(B) 12
(C) 13
(D) 14
(E) 17
This question can be best solve by Venn Diagram. I am attaching 2 methods to solve the same.
With warm regards,
Ks
Posted from my mobile device
Attachments
BB93637E-B941-4FE3-95F2-B24979D90350.jpeg [ 774.1 KiB | Viewed 7524 times ]
