Rahul, Samuel, Tony, Uday and Xavier are from the same batch from

Question

Rahul, Samuel, Tony, Uday and Xavier are from the same batch from Institute YZ. Recently, they attended a reunion in which they decided to go for the swing which is the star attraction in the town. 
Meeting after 15 years, the five batchmates realized that only Tony and Rahul had put on considerable weight and were of heavy build, while the remaining three maintained their lean build.When the batchmates reached the location of the swing, they found the following limitations:-
(1) Due to space constraints, the swing can accommodate a maximum of three people and that too when not more than one person is of heavy build. 
(2) The weight constraint limits the number of heavy build to just one in any given ride.(1) Uday would not go for the ride unless Xavier comes, who in turn would avoid the swing if Tony is on the same ride.
(2) Samuel would not take the ride unless three people decide to go. Improved version of this question is discussed  HERE .

ribbons · Answer

Can someone explain the first question of the 3 and also why samuel and Xiaver is "yes" in the last q. Doesnt the 3rd card say that samuel wont ride unless it's 3 ppl?

ArvindVaishnavK · Answer

For question 3:
Tony and Rahul won't go together because of the Swing restrictions.
Tony and Uday won't go together because of the preference that Uday will come only after Xavier and Xavier avoids Tony.
Rahul and Xavier can go together, there is no specific condition for Rahul mentioned.

Deepa444 · Answer

chetan2u  can u plz explain the first 2 answers

joshmun2013 · Answer

For question 2, try finding the possible 3-people cases where the batchmates would go on the swing.

Since the order doesn't matter and because Tony and Rahul can't be together due to weight/space restrictions, this brings the number of possible cases down to a countable level.

T, S, U --> no
T, S, X --> no
T, U, X --> no

R, S, U --> no (by extension, T wouldn't be there)
R, S, X --> yes (by extension, T wouldn't be there)
R, U, X --> yes (by extension, T wouldn't be there)

S, U, X --> yes

In all the cases where the batchmates would go on the swing, Xavier is there.

As we can see here, in all the cases where the batchmates would go on the swing, Xavier is included.

Conversely, in all the cases, Tony wouldn't be included.

chetan2u · Answer

Five friends: R, S, T, U and X, out of which R & T are of heavy build.

Swing:
Weight restriction - Only one heavy build can be there on the swing
Space restriction - At the max 3 with only one heavy build.

Preferences:
X will not go with T, while U will always require X in the swing.

(1) Now, if T is there, U and X will not be there due to preferences of X. Also, R cannot be there because of the build.
 So, T can only have S with him, meaning that T will never be there on the swing if 3 people go for the swing.

(2) As can be seen T will never be there if three people are on the swing.
So we are left with R, S, U and X, but U will go only if X goes.
 THus X has to be there on the swing...R, S and X; R, U and X and S, U and X.

(3) Next, we have only two who went for the swing. options are
Tony and Rahul: Both are of neavy build, so cannot be together....NO
Tony and Uday: Uday has to be with X...NO
Rahul and Xavier: No restriction between X and R..YES

Deepa444

Ffsimlildig · Answer

I would like to highlight, that I came across the same question of the GMATClub Focus tests, however the questions were incorrectly stated and the right options to the answers were incorrectly marked as wrong  Bunuel   bb  please check

chetan2u · Answer

Thanks!
You are right and we were aware as there were some tech problem in formatting of this question at some moment. I am sure you would find the question and answer fine now.

Ankit__7182 · Answer

All possible combinations based on questions as below:

1)When 3 people take the swing
uday, xavier, samuel
uday, xavier, rahul
samuel, xavier, rahul

2) When 2 people take the swing
uday, xavier
samuel, xavier
xavier, rahul

Gemmie · Answer

5 people: R S T U X
2 of heavy build: T R

Swing:
+ only 3 people per ride
+ at most 1 heavy build

Impossible pair: X-T; T-R
Required: If U => X

1. Based on the information given and the knowledge that finally three of them went for a ride, select for Definitely YES the person who must have taken the ride

3 people => There is only 1 ride

If Tony goes => X and R won't go
Then there is T U S, but U must go with X 
==> Tony doesn't go

Possible combinations from the 4 remaning
+ If U goes => There must also be X on the ride
==>  2 combinations: U X R; U X S 
+ If U doesn't go =>  1 combination: X R S

Of total 3 possible combinations, X is always on the ride

2. Based on the information given and the knowledge that finally three of them went for a ride, select for Definitely NO the person who must not have taken the ride.

As analysed above, Tony must have not take the ride

3. If only two of the five batchmates went for a ride, select Yes for the option that is a possible combination of batchmates who could have gone for the ride, and select No for the option that is not a possible combination of batchmates who could have gone for the ride.

Tony and Rahul => No 
Because of the weight restriction

Tony and Uday => No 
But if U goes, then there must be X on the ride but T won't go with X

Rahul and Xavier => Yes 
No restriction

pratiksha1998 · Answer

How is it possible that Samuel will go in any combination since it mentions that Samuel will not go unless 3 people decide to go and the questions mention that only 3 people are going on a ride?

Bunuel · Answer

Improved version of this question is discussed  HERE .

Rahul, Samuel, Tony, Uday and Xavier are from the same batch from

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