Latest CTS Aptitude Question SOLUTION: In a class out of 150 studs participated in various games foot ball ,basket ball, cricket are 120, 130,135 respecly and 5 stud are not playing any one of then then find the least n

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In a class out of 150 studs participated in various games foot ball ,basket ball, cricket are 120, 130,135 respecly and 5 stud are not playing any one of then then find the least no of studs which are are playing all the games

Asked In CTS Akila j (7 years ago)

Unsolved Read Solution (13)

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Read Solution (13) :

shweta kumari  (7 years ago)

let the x studs are playing all the games
and there are 5 studs whos not playing any game
then
120-x+130-x+135-x=150-5
385-145=3x
x=80

Is this solution Helpfull? Yes (20) | No (19)  

Rahul S. Joshi  (7 years ago)

*mistake above

By pigeon hole principle, we have to apply this small formula

(120 + 130 + 135) % 145 = 95

Is this solution Helpfull? Yes (8) | No (4)  

prashant shukla  (7 years ago)

110 is correct answer

Is this solution Helpfull? Yes (6) | No (2)  

AJITA SAHAY  (7 years ago)

sorry my previous post was wrong..i think correct answer should be
let the x studs are playing all the games
and there are 5 studs whos not playing any game
then
120-x+130-x+135-x=150-5
385-145=3x
x=80

Is this solution Helpfull? Yes (6) | No   

AJITA SAHAY  (7 years ago)

total (120+130+135)=385
total number of student involve in player is 150-5=145
therefore the least no of studnt which are playing all the game is 385-145=240
240 ans

Is this solution Helpfull? Yes (2) | No (14)  

akash malviya  (7 years ago)

probably it will 80

Is this solution Helpfull? Yes (2) | No (1)  

sunil chouhan  (7 years ago)

total (135+120+135)=385
total no students 150-5=145
so we have 385-145=240

Is this solution Helpfull? Yes (2) | No (3)  

jameel khan  (7 years ago)

can not be determine

Is this solution Helpfull? Yes (2) | No (1)  

anurag kumar  (7 years ago)

100 should be the correct answer.
we have total (125 + 130 + 135) = 390 game players.

class we have 150Player students & 5 non player =145

145 Player students plays at least one of these 3 games( otherwise they would come in non player's category)

That is each of the player student can be either a 1 game players, or a 2 game player or a 3 game player.

Also all of these 145 players students will make up 390 game players.

145 students are 1 game players, then we will have 145 * 1 = 145 game
simply for 2nd 145*2=290
and for 3rd 145*3=435
It is clear that to make 390 game players out of 145 player students, we need some 3 game player .even if all of 145 students were 2 game players , we can have only 145 x 2 = 290 players at most, and we are still 100 game players away from given 390 players hence least (390 - 290) = 100, 3 game player students out of 145 player students

(125 + 130 + 135) % 145 = 100

Is this solution Helpfull? Yes (2) | No   

Rahul S. Joshi  (7 years ago)

(125 + 130 + 135) % 145 = 100

By pigeon hole principle

Is this solution Helpfull? Yes (1) | No (2)  

pradeep31296  (7 years ago)

110 is correct but how?

Is this solution Helpfull? Yes (1) | No   

sayantan poddar  (7 years ago)

(120-x)+(130-x)+(135-x)=150-5-x
385-145=2x
240/2= x
X = 120

Is this solution Helpfull? Yes (1) | No   

anuj  (7 years ago)

By pigeon hole principle,

(120 + 130 + 135) % 145 = 95 (100% sure)

Is this solution Helpfull? Yes (1) | No   

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