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(1)
Zahra checked in online before 3:30 and arrived at 3:35: boarded.
Mateo did not check in online, arrived at 3:34: denied.
Mateo arrived earlier.

Zahra checked in online before 3:30, arrived at 3:35: boarded.
Mateo did not check in online, arrived at 3:36: denied.
Mateo arrived later.

Condition insufficient

(2)
No info about time they arrive at the gate.

Mateo arrives at 3:34, Zahra at 3:35.
Mateo arrives at 3:36, Zahra at 3:35.

Condition insufficient

(1)+(2)
If Zahra was the person that checked luggage at 2:45 the examples used in statement 1 can be used here.

Conditions insufficient

Answer E
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Core Information:

Luggage Check in: 3:00 PM
Online Check in: 3:30 PM
Gate Close: 3:50 PM

Q: Did Mateo reach the gate later than Zahra?

Statement 1: Zahra was allowed to board but Mateo was not.
If Mateo was not allowed to board, there can be three reasons, he might have not checked on time (with or w/o luggage) or might have not reached before the gate closing. This doesn't give a specific time to reach to the Gate. Hence Statement(1) is insufficient.

Statement 2: Only one of the travellers needed to checkin the luggage, doing so at 2:45 PM, and only one of them checked in online before 3:30 PM

This only says about the time of checking in but not about physically reaching gate. The online checkin also complicates it as it can be done without reaching the airport. Further more, we don't know who(mateo and Zahra) did what(online or luggage checkin)
Hence, Statement(2) is insufficient.

Statement 1&2 Together:
Combining both might look tempting due to a lot of data but it is not clear that what time who arrived at the gate which is what we are supposed to Answer. Hence, Statement 1&2 together are insufficient together.

IMO, Answer(E)
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IMO, the answer should be E

The flight departs at 4 PM, and boarding ends at 3:50 PM. Checked luggage must be checked by 3 PM, and anyone arriving after 3:30 PM must have checked their luggage online.

Question - Did M arrive later than Z?

S1 --> Z boarded, and M did not.

M could have been denied because he: arrived at 3:50 PM, arrived at 3:30 pm w/o checking in luggage online or checked in luggage too late.

Multiple cases where M could have arrived before or after Z.

S1 - is insufficient.

S2 --> We don't know who did either, so M could still have arrived before or after Z.

S2 - is insufficient.

Combining them, we still do not have a single unique order; hence, insufficient.

The answer is E
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(1)
If Zahra checked in online before 3:30 and arrived at 3:40 PM -> boards.
If Mateo did not check in online and arrived at 3:33 PM -> denied boarding.
Mateo arrived before Zahra -> NO

If Zahra checked in online before 3:30 and arrived at 3:40 PM -> boards.
If Mateo did not check in online and arrived at 3:47 PM -> denied boarding.
Mateo arrived after Zahra -> YES

Condition (1) is insufficient

(2)
Zahra checked luggage at 2:45 PM, checked in online before 3:30 and arrived at 3:40 PM
Mateo did not check luggage, did not check in online, arrived at 3:33 PM
Mateo arrived before Zahra -> NO

Zahra checked luggage at 2:45 PM, checked in online before 3:30 and arrived at 3:40 PM
Mateo did not check luggage, did not check in online and arrived at 3:47 PM
Mateo arrived after Zahra -> YES

Condition (2) is insufficient

(1)+(2)
Zahra checked luggage at 2:45 PM, checked in online before 3:30 and arrived at 3:40 PM -> boards.
Mateo did not check luggage, did not check in online, arrived at 3:33 PM -> denied boarding.
Mateo arrived before Zahra -> NO

Zahra checked luggage at 2:45 PM, checked in online before 3:30 and arrived at 3:40 PM -> boards.
Mateo did not check luggage, did not check in online and arrived at 3:47 PM -> denied boarding.
Mateo arrived after Zahra -> YES

Condition (1) and (2) are insufficient

The answer is E
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Zahra boarded but Mateo didnt. Mateo could have broken any rule, so we dont know who reached later. Not sufficient.

We know one checked luggage and one checked in online but we dont know who did what. Not sufficient.

Together: Whoever had the luggage checked in at 2:45. The other checked in online. Since Mateo still couldnt board he must have reached after 3:50 PM while Zahra boarded so she reached before 3:50 PM. So Mateo reached later.

Answer: C.


Bunuel
To board the Tokyo flight, any passenger with luggage to check must check that luggage at least 60 minutes before the 4:00 PM flight departure. Additionally, any passenger arriving at the gate after 3:30 PM must have checked in online before 3:30 PM. No passenger is allowed to board if they arrive after the gate closes at 3:50 PM. If Mateo and Zahra reached the gate at different times, did Mateo reach the gate later than Zahra?

(1) Zahra was allowed to board but Mateo was not.

(2) Only one of the travelers needed to check luggage, doing so at 2:45 PM, and only one of them checked in online before 3:30 PM.

 


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Both Statements 1 and 2 are not sufficient

Sol
Flight at 4 pm
With luggage arrival before 3 PM
If Arriving at gate at 3:30 so online check in before 3:30 PM
Gate closes = 3:50 pm

1) Zahra was allowed to board but mateo was not

So Zahra must have arrived before 3 if she had lugged or she checked in before 3:30 so she was able to board the flight
Mateo May have arrived at the airport gate before 3:30 but did not check in so he was not allowed to board
So in this statement Zahra may have arrived by 3:30 and Mateo was earlier to the gate by 3:10 but as he had not checked in so he was not allowed so this statement does not give us any direct ans

2) One passenger had luggage so arrived at 2:45 PM , Only one checked in before 3:30

There can be multiple scenarios with this statement
Zahra had luggage so she arrived at 2:45 , but she also did online checkin so she arrived the gate by 3:45
Mateo did not checked in before 3:30 but arrived by 3:20 so we donot know if mateo reached the gate later than zahra

Bunuel
To board the Tokyo flight, any passenger with luggage to check must check that luggage at least 60 minutes before the 4:00 PM flight departure. Additionally, any passenger arriving at the gate after 3:30 PM must have checked in online before 3:30 PM. No passenger is allowed to board if they arrive after the gate closes at 3:50 PM. If Mateo and Zahra reached the gate at different times, did Mateo reach the gate later than Zahra?

(1) Zahra was allowed to board but Mateo was not.

(2) Only one of the travelers needed to check luggage, doing so at 2:45 PM, and only one of them checked in online before 3:30 PM.

 


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Question is yes or no. Whether Mateo reached before Zahra?

Evaluating statement 1,
Cases possible,
1. Zahra reached before 3:30 & satisfied other condition and was allowed. Mateo reached after 3:30 & did not checked in online or reached after 3:50. So in this case Mateo reached after.

2. Zahra reached say 3:45 & checked in online but Mateo reached at 3:40 but did not check in online. Therefore, in this case Zahra reached after Mateo.

So Statement 1 is insufficient alone.
A&D is eliminated. left with option B,C & E.

Evaluating statement 2 alone,

Zahra checked her luggage in at 2:45 & Mateo checked in online or Zahra did. It does not infer anything about who reached early.
B is eliminated.Left with C & E.

Evaluating both the statement together.

Considering Mateo reached & checked in @2:45 but did not reach the boarding gate before 3:50, Zahra reached @3:40 and checked in online, Zahra reached later.
But, if we consider Zahra checked in bag @ 2:45 and Mateo comes after 3:50 and did checked in online. In this case Mateo reached later.

E is the correct answer. Both the statement together is not sufficient.



Bunuel
To board the Tokyo flight, any passenger with luggage to check must check that luggage at least 60 minutes before the 4:00 PM flight departure. Additionally, any passenger arriving at the gate after 3:30 PM must have checked in online before 3:30 PM. No passenger is allowed to board if they arrive after the gate closes at 3:50 PM. If Mateo and Zahra reached the gate at different times, did Mateo reach the gate later than Zahra?

(1) Zahra was allowed to board but Mateo was not.

(2) Only one of the travelers needed to check luggage, doing so at 2:45 PM, and only one of them checked in online before 3:30 PM.

 


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(A) Not sufficient as M might not have checked in on time and hence was not allowed to board

(B) Not sufficient - as we can’t determine anything from this


(E) is the answer
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(1)
Mateo might arrive before or after Zahra and fail to board if Zahra was the one who checked in online before 3:30, and both arrivals occur between 3:30 and 3:50.
M: arrived at gate at 3:31 and Z: arrived at gate at 3:32, answer is no
M: arrived at gate at 3:33 and Z: arrived at gate at 3:32, answer is yes

Clearly insufficient

(2)
Z: luggage at 2:45 and check in online before 3:30 and arrived at gate at 3:32
M: no luggage and no check in online and arrived at gate at 3:31
answer is no

Z: luggage at 2:45 and check in online before 3:30 and arrived at gate at 3:32
M: no luggage and no check in online and arrived at gate at 3:33
answer is yes

Clearly insufficient

(1) and (2)
As in (2), using the same examples.

Insufficient

The correct answer is E
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So to catch flight
- check in before 3 PM and reach gate before 3:50
- check in online before 3:30 and reach gate beofre 3:50

Mateo reached after Zahra = ? Yes/No

S1 - Zahra was allowed boarding and mateo was not =>. mateo was late and after zahra sufficient
S2 - so one of them reached early and checked in and other checked in online but we don't know which one so can't ans - not sufficient

Ans - A
Bunuel
To board the Tokyo flight, any passenger with luggage to check must check that luggage at least 60 minutes before the 4:00 PM flight departure. Additionally, any passenger arriving at the gate after 3:30 PM must have checked in online before 3:30 PM. No passenger is allowed to board if they arrive after the gate closes at 3:50 PM. If Mateo and Zahra reached the gate at different times, did Mateo reach the gate later than Zahra?

(1) Zahra was allowed to board but Mateo was not.

(2) Only one of the travelers needed to check luggage, doing so at 2:45 PM, and only one of them checked in online before 3:30 PM.

 


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IMO ans is E -
Reasoning - with all the info and constraints it says M reach gate later than Z
but from statement 1 it says Z allowed and M not allowed meaning M could be late if both are online or offline but if can't say if both are same online or offline. Just an example if M reached 3:20 offline so not allowed but Z reached at 3:21 he is allowed if he is online then M came before still not allowed because of mode of travel. INSUFFICIENT
Now statement 2 it says 1 is offline 2:45 needed another is online before 3:30 so again INSUFFICIENT we can't say which one is who so again INSUFFICIENT.
At last adding both also we can't say because if we say 2:45 someone came then he is allowed and another came in before 3:30 so both are allowed but statement 1 says M is not allowed meaning she can't allowed in one assumption case she is online and didn't came before 3:30 could be possible but I'm unable to merge both statement to get clear answer maybe again the way it is written or my personal issue in comprehension so In my View option choice E is correct unable to find from both statemnets.
Thanks!
Bunuel
To board the Tokyo flight, any passenger with luggage to check must check that luggage at least 60 minutes before the 4:00 PM flight departure. Additionally, any passenger arriving at the gate after 3:30 PM must have checked in online before 3:30 PM. No passenger is allowed to board if they arrive after the gate closes at 3:50 PM. If Mateo and Zahra reached the gate at different times, did Mateo reach the gate later than Zahra?

(1) Zahra was allowed to board but Mateo was not.

(2) Only one of the travelers needed to check luggage, doing so at 2:45 PM, and only one of them checked in online before 3:30 PM.

 


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We know that,
There are 2 people -> Mateo and Zahra who arrive at the gate at different times
Flight departs at 4 PM and there are certain rules to be followed here
If a passenger checks luggage, it must be checked by 3 PM
If a passenger arrived at the gate after 3:30 PM, they must have checked in online before 3:30 PM
If a passenger arrives after 3:50 PM, they cannot board

We need to know if Mateo reached gate later than Zahra

We are given the following statements,

Statement(1) -> Zahra was allowed to board but Mateo wasnt

Mateo failed to board if:
1. He arrived after 3:50PM
2. He arrived between 3:31PM and 3:50 PM without having checked in online

Zahra has biarded so she satsifies all requirements

Case 1:
Zahra: 3:21 PM
Mateo: 3:58PM
Mateo arrives later

Case 2:
Zahra: 3:45PM
Mateo: 3:44PM

Mateo arrived earlier

Both cases are possible
Statement (1) is insufficient

Statement (2) -> Only one traveler needed to check luggage and did so at 2:45pm, and only one checked in online before 3:30 pm

Luggage is checked in time
One checked one and the other didnt
We dont know who arrives after 3:30 here
But still we see 2 possibilities here

The checked in online person comes after 3:40
The not checked in online person arrives at 3:20


This is possible for both person and both of their cases vice versa
=> We cant check who arrived earlier or later

Statement(2) is insufficient

Combining (1) and (2),
Zahra boarded
Mateo didnt board
Exactly one checked in online
One checked in baggae at 2:45 (But this is not required at all in our case as we see ahead)

Again there are 2 cases possible here
Case 1: Mateo checked in online
Reason he couldnt board since he came after 3:50PM
Zahra didnt check online and must have arrived by 3:30 pm to board

Zahra- 3:20PM
Mateo- 3:57PM

Mateo arrived later

Case 2:
Mateo didnt check in online
Zahra checked in online
Mateo arrived at 3:40PM and is denied inside
Zahra arrives at 3:46PM and boards

Zahra - 3:46PM
Mateo - 3:40PM

Mateo arrived earlier

We see both possibilities and cant say who arrived earlier or later

Neither statement alone nor together is sufficient

E. Neither statement is sufficient
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Bunuel
To board the Tokyo flight, any passenger with luggage to check must check that luggage at least 60 minutes before the 4:00 PM flight departure. Additionally, any passenger arriving at the gate after 3:30 PM must have checked in online before 3:30 PM. No passenger is allowed to board if they arrive after the gate closes at 3:50 PM. If Mateo and Zahra reached the gate at different times, did Mateo reach the gate later than Zahra?

(1) Zahra was allowed to board but Mateo was not.

(2) Only one of the travelers needed to check luggage, doing so at 2:45 PM, and only one of them checked in online before 3:30 PM.

 


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1. Sufficient. If Zahra was allowed to board but Mateo was not, Mateo must have reached the gate later than Zahra.

2. Not sufficient. We do not know traveller name and their gate arrival time.
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No, I think you forgot to consider the situation in which a person is not allowed to board due to other factors, such as a bomb in the luggage or carrying a firearm which both Mateo and Zahra could have. And the answer is E, due to these other indiscernible factors

Archit3110
To board the Tokyo flight, any passenger with luggage to check must check that luggage at least 60 minutes before the 4:00 PM flight departure. Additionally, any passenger arriving at the gate after 3:30 PM must have checked in online before 3:30 PM. No passenger is allowed to board if they arrive after the gate closes at 3:50 PM. If Mateo and Zahra reached the gate at different times, did Mateo reach the gate later than Zahra?

(1) Zahra was allowed to board but Mateo was not.

(2) Only one of the travelers needed to check luggage, doing so at 2:45 PM, and only one of them checked in online before 3:30 PM.


the given condition

any passenger with luggage must check luggage <=60 mins before 4PM flight departure

arriving at gate after 3:30 PM must have checked in online before 3:30 pm

no passenger is allowed to board after gate closes at 3:50

target

Mateo & Zahra reached gate at different times, did Mateo reach the gate later than Zahra

#1
Zahra was allowed to board but Mateo was not .
sufficient to say that yes Mateo arrived at gate after 3:50
sufficient
#2
one passenger check in at 2:45 i.e. before 3 PM which is 60 mins before 4PM flight departure and one of them checked in before 3:30 pm
there is no info who did luggage check in and who did checked in before 3:30
insufficient information


OPTION A is correct
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