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The rules: luggage by 3:00, anyone arriving after 3:30 needs online check-in done before 3:30, gate closes 3:50.

(1) - Not boarding has multiple causes (late luggage, no online check-in, or after 3:50), Mateo could fail on luggage while arriving earlier, or fail on time while arriving later. Order unknown. Insufficient
(2) - Nothing about who boarded or arrival order. Insufficient

Together, two legal worlds world would flip the answer:
- Zahra 3:20 boards, Mateo 3:55 blocked -> Later, Yes
- Mateo 3:35 no check-in blocked, Zahra 3:45 boards -> Earlier, No
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S1- Zahra was allowed to board but Mateo was not
case 1 Z came by 3.35 and had checked online M arrived at 3.40 and did not check online - Z came before M
Case 2 M came by 3.30 and had not checked online and Z came by 3.45 and had already checked online . M came before Z

Not sufficient rules out A and D

S- 2 One checked in the luggage at 2.45 and other checked in online before 3.30 this gives no information of who arrived at gate first . Not sufficient to ans the question

Not sufficient rules out B

s1 and S 2 when we combine consider case 1 and case 2 of s1 and we see we still dont know who came first and who came later we have 2 cases with no definitive solution
Ans E
Bunue
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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Let's summarize the rules first:
- If a passenger checks luggage, it must be checked by 3:00 PM.
- If a passenger reaches the gate after 3:30 PM, they must have checked in online before 3:30 PM.
- No one can board after 3:50 PM.

We are told Mateo and Zahra reached the gate at different times.

We need to determine whether Mateo reached the gate later than Zahra.

Statement (1):

Zahra was allowed to board but Mateo was not.

Mateo could have been denied boarding for many reasons:
- Arrived after 3:50 PM.
- Arrived after 3:30 PM without checking in online.
- Failed to check luggage by 3:00 PM.

We cannot determine who reached the gate later.

Not sufficient.

Statement (2):

Only one traveler checked luggage, and they did so at 2:45 PM.
Only one traveler checked in online before 3:30 PM.

Checking luggage at 2:45 PM satisfies the luggage rule.

However, we still do not know who checked luggage who checked in online, or when either person reached the gate.

Not sufficient.

Statements (1) and (2) together:

From (1), Zahra boarded and Mateo did not.

From (2):
- One traveler checked luggage (properly at 2:45 PM).
- One traveler checked in online before 3:30 PM.

Since Zahra boarded, she satisfied all applicable rules.

Mateo did not board but we still don't know why.

For example:

Case 1:
- Zahra reaches the gate at 3:20 PM.
- Mateo reaches the gate at 3:40 PM without online check-in.
-----> Mateo arrived later.

Case 2:
- Mateo reaches the gate at 3:20 PM but failed to check luggage by 3:00 PM.
- Zahra reaches the gate at 3:40 PM after checking in online.
----> Mateo arrived earlier.

Both satisfy the statements yet give different answers.

Therefore, even together the statements are not sufficient.

Answer: E
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Given,
Checked luggage --- must be checked by 3 PM, -------otherwise cannot board
If Arriving after 3:30 PM - ----- must have checked onine before 3:30 PM ----- otherwise cannot board
If arriving after 3:50 PM ------ cannot board

To check whether Mateo reached the gate later than Zahra.

Statemnet 1 :

Zahra was allowed to board but Mateo was not.

Case 1
Zahra arrived before 3:30---- boards the flight.
Mateo arroves after 3:50 PM --- cannot board teh flight
: means Mateo arrived later.

Case 2
Mateo arrives between 3 to 3:30 PM but didn't checked luggage online before ---- cannot board teh flight.
Zahra arrives between 3:30 to 3:50 PM ----but boards.

: Means Mateo arrived earlier

No specific answer - Insufficient

Statement 2:

Only one traveller needed to check uggae, doing so at 2:45 PM and only one of them checked in online before 3:30 PM.

Online check - in info doesn't explain the gate arrival time.

Multiple combinations possible : Insufficient


Both statements Together:

Still both outcomes possible.

Answer :
E ( Both statemnets together are 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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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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Statement 1 clearly says zahra was allowed to board and mateo was not. so mateo reached after 3:50 PM and Zahra reached before . 1 is sufficient.
Statment 2 does not provide the names of passangers so it is not sufficient.
Statement (1) alone is sufficient.
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neeed to determine whether matro arriave at the gate later than zahra

1. zahra boarded but mateo did not
mateo could have failed as arrive late or arrive after 3:30 without having checked online or failed the check his luggage by 3, so their relative times cannot be determined.
so insufficient

statement 2: one traveler checked luggage at 2:45 satisfying the luggage deadline, only one checked in online before 3:30. this does not tel us when either person reached the gate or who checked in online

so insufficient

statemetns together

luggage requirement cannot explain mateos failure because the only traveleer with luggage checked it on time.

if we find the solutions to swing both ways then we can rule them to be insufficient

mateo arrive later:
zahra arrives at 3:20, did not check in online - boards
mateo arrives at 3:55, checks in online cannot board as gate is closed

mateo arrive earlier
mateo arrives at 3:40 did not check in online cannot board
zahra arrives at 3:45 checked in online boards

both situations satisfy all info but give opposite answer and so we cannot definitely answer the question - E
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[url=answer: C Statement (1) alone is sufficient. Zahra was allowed to board, so Zahra arrived at or before 3:50 PM. Mateo was not allowed to board, so Mateo arrived after 3:50 PM. Therefore Mateo must have reached the gate later than Zahra. The answer to the question is definitively YES, making Statement (1) sufficient. Statement (2) alone is not sufficient. One traveler checked luggage at 2:45 PM, satisfying the luggage requirement. One traveler checked in online before 3:30 PM. However, the statement does not tell us who did which action, when either traveler arrived at the gate, or whether Mateo arrived later than Zahra. Multiple scenarios are possible, giving different answers to the question. Since Statement (1) is sufficient and Statement (2) is not, the correct answer is (A).]Statement (1) alone is sufficient.

Zahra was allowed to board, so Zahra arrived at or before 3_50 PM. Mateo was not allowed to board, so Mateo arrived after 3_50 PM. Therefore Mateo must have reached the gate later than Zahra. The answer to the question is definitively YES, making Statement (1) sufficient.

Statement (2) alone is not sufficient.

One traveler checked luggage at 2_45 PM, satisfying the luggage requirement. One traveler checked in online before 3_30 PM. However, the statement does not tell us who did which action, when either traveler arrived at the gate, or whether Mateo arrived later than Zahra. Multiple scenarios are possible, giving different answers to the question.

Since Statement (1) is sufficient and Statement (2) is not,

the correct answer is (A)_[/url]
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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The passenger is allowed to board if bags are checked by 3 pm, have online checked in before 3:30 if arriving to the gate after 3:30, and have to arrive before the gate closes at 3:50.

Statement 1 states that Zahra boarded and Mateo didn't but that doesn't necessarily mean he got to the gate later. He could have checked in his bags late or missed online check in. Insufficient

Statement 2 tells us about checked bags and if someone checked in online, but that doesn't tell us their arrival order, who checked bags, or the gate times. Insufficient

The statements together are also Insufficient Since the only person that needed to check luggage checked it at 2:45 AM that takes it off as a potential reason why Mateo wasn't allowed to board, but we still don't know if he was the one who checked in early. If he was then he was late to the gate which means he arrived later than Zahra, but if he wasn't then he could've missed online check and didn't necessarily have to be late to the gate to not be able to board. The answer is E the statements together are not sufficient.
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we need to know if M reached the gate later than Z
stmt 1 says Z was allowed to board but M wasn't. This doesn't gives us any more info and who came first. we can make multiple scenarios with this. Not sufficient, eliminate AD
stmt 2 says only one need to check luggage and 1 has checked online, we don't know who is the first or the later. Not sufficient. Eliminate B
combing 1 and 2, doesn't give us any new info than the one we already have, so the eliminate C
the correct answer is Option E

thanks,
Swetha
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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After careful consideration of the scenarios, let us check individual statements. Remember we have been asked - Did M reach the gate later than Z.

S1: Z allowed to board but not M
Z - must have followed all the rules.
M - must have violated at least 1 rule:

One rule
could be broken by M: M arrived late at the gate that is after 3:50 PM
in this case, M would have reached later than Zahra

Another rule
could be broken by M: M arrived at gate at 3:01 PM but forgot to check in her bag and Z could have arrived at 3:20 PM.
So in this case, M would have reached at the gate earlier than Zahra

S1 INFSUFFICIENT

S2: This cannot be used independently as we could consider anyone from M to Z for any case.

S1 AND S2 Together
Z boarded M did not
One person checked luggage at 2:45
Only one person checked in online before 3:30 PM

Case 1 - M arrives later
Z - checks in online before 3:30 PM and arrives at gate at 3:40 PM (allowed to board)
M does not check in online and arrive at gate at 3:45 PM and hence disqualified.
So yes M arrived later than Z

Case 2 - M arrives earlier
Z - does not check in online and she arrives at gate at 3:25 PM (allowed to board)
M arrived at the gate at 3:20 PM but failed to check in her luggage (not allowed to board)
So, No M did not arrive later than Z.

Both statements together are insufficient.
Answer is E
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Given :
1. Luggage must be checked by 3 pm
2. Anyone reaching the gate after 3.30 pm must have checked in online
3. No one boards after 3.50 pm

1) Zahra boarded but Mateo didn't
Mateo could've missed boarding for multiple reasons (late luggage check, no online checkin after 3.30 or arriving after 3.30). Still he could've arrived at gate before or after Zahra.
Insufficient

2)1 traveler checked luggage at 2.45 pm and only 1 checked in online before 3.30 pm
This tells us at most 1 traveler could have reached the gate after 3.30 pm but we don't know who.
Insufficient

1) + 2)
Even together, both orders are possible.

Insufficient

Ans : E
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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 (before 2:00 PM)
Additionally, any passenger arriving at the gate after 3:30 PM must have check 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.

Case 1: Mateo reached the gate at 3:40 PM without checking the luggage online and was not allowed to board. Zahra reached gate at 3:50 after checking luggage online and was allowed to board.
Mateo reached gate earlier than Zahra.

Case 2: Mateo reached the gate at 3:40 PM without checking luggage online was was not allowed to board. Zahra reached gate at 3:30 after checking luggage online and was allowed to board.
Mateo reached gate later than Zahra

NOT SUFFICIENT

(2) Only one of the travellers need to check luggage, doing so at 2:45 PM, and only one of them checked in online before 3:30 PM.
This statement provides no information about the time they reached the gate.

NOT SUFFICIENT

(1) + (2)
Zahra was allowed to board but Mateo was not.
Only one of the travellers need to check luggage, doing so at 2:45 PM, and only one of them checked in online before 3:30 PM.

Since any passenger checking luggage after 2:00 PM is not allowed to board, Mateo checked luggage at 2:45 PM and Zahra checked online before 3:30 PM
Mateo was denied boarding since he checked luggage at 2:45 PM after 2:00 PM deadline. He might have reached the gate anytime after 2:45 PM

Case 1: Mateo reached gate at 3:55 PM and Zahra reached gate at 3:35 PM. Mateo reached gate later than Zahra.
Case 2: Mateo reached gate at 3:00 PM and Zahra reached gate at 3:35 PM. Mateo reached gate earlier than Zahra.

NOT SUFFICIENT

IMO E
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S1 Mateo could have failed to board for another reason maybe luggage so we cannot tell hence insufficient
S2 We have no info about the specific individual arrival time and luggage association so we cannot tell hence insufficient
Combined the two cases it is still unclear who arrived at the gate later because both statement still produce opposite answers to the same question e.g when mateo checks in luggage and does so online and when zahra does the same.
Ans E
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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There are 2 limitations for boarding
1)luggage check in >=6o min before 4pm offline or online before 3:30 pm
2)arrival at the gate before 3:50 pm
S1- here we don't know Zehra is allowed for what reason on time luggage check in or on time arrival at gate. It can be possible that Mateo arrived earlier but did not check in on time that's why not allowed so, Insufficient statement.
S2- this excludes one limitation of boarding for both but gives no idea about other limitation so, Insufficient.
Both S1&S2:
after analysing both, S2 removed one limitation n S1 gives idea about second limitation that if Zahra was allowed to board means she reached at the gate before 3:50 pm (the closing time and second limitation) and Mateo not. It proves that Mateo reached at gate later than Zahra.

Option 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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Any passenger with luggage must check in 1 hr before 4 pm flight.
Arriving at gate after 3:30 pm, must check in online before 3:30 pm.
Gate closes at 3:50 pm.
Did M reach the gate later than Z?

1) Z was allowed to board but M was not.
Anything is possible. Maybe M reached before Z but forgot to check in online so he was denied entry. Or possibly he arrived later than Z. It is insufficient.

2) one checked in luggage at 2:45 pm and only one of the. Checkin online before 3:30 pm.
It could have been Z who completed both tasks or maybe M arrived before Z but failed to online check in. It is insufficient

Both 1&2
There could be two reasons M did not board. Late gate arrival time or did mot check in online before 3:30 pm. If Z checked in online and reached gate 3:45, but M forgot to check in online and arrived at gate 3:40. We can’t know definitely who arrived at gate first. Both statements are insufficient.

E
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My ans is C.) Both are sufficient together.
Did Mateo reached the gate after Zahra?
1) two possibilities:
Zahra came before 3.30 and Mateo came after 3.30 and did not complete online check-in - YES
Both reached after 3.30 but Zahra had completed the online checkin and Mateo did not - YES/NO- INSUFFICIENT

2)We cannot infer if both came before 3PM or one came late, we cannot say who came when- CLEARLY INSUFFICIENT

1) & 2) together tell that Zahra was allowed hence she checked luggage and checked in online before 3.30 but Mateo came after 3.30 and did not checked online- 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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IMO : E
1. there could be many reasons why M could not board , what id he was early but missed the luggage checkin timeline , what if if he did not checkin online before time
therefore not sufficient
2. this is clearly alone not sufficient since we dont which person did what "
therefore --- not sufficient
1+2 :
lets say :
M checkin lugg =3:45pm, did not checkin online , arrive at 3:40 --- doesnt board
Z arrive 3:20, no luggage , checkin onliine --- boards

therefore in this scenario M arrives late


likely we see that we can alter the case where Z can arrive late ...
hence both together are also not sufficient
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