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Condition in stem:
1. To board the Tokyo flight scheduled at 4PM, the traveller MUST check luggage by at most 3PM. Gate closes at 3:50PM post which no one is allowed.
2. Anybody reaching the gate post 3:30PM MUST have checked in online before 3:30PM

Question Mateo reach later than Zara?

ST1: Mateo could have arrived at 3:40 and failed to check in online, while Zahra might've arrived at 3:45 and checked in online prior to 3:30. INSUFFICIENT.
ST2: This doesn't give us information on at what times did the two reach the gate. INSUFFICIENT.

Option E.
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Rules: If luggage then must checked Before 3:00 PM
Reached gate after 3:30 before 3:50--> only online checked in allowed
Reached gate after 3:50 --> Not allowed.

1) Z allowed and M not allowed, this can be any case.
Z at 3:40 with online check in. M at 3:35 without online. Z < M OR
Z at 3:40 with online check in, M at 3:45 without online. M<Z
Not sufficient.

2) one traveller with luggage and one online before 3:30.
This also can be any combination. M or Z anyone can reach early and checked in luggage. Not sufficient.

Combining both:
in this also even z can reach early with luggage at 2:45 with online check in and allowed. here Z<M, and Z allowed
or M reached early checked in luggage 2:45 PM but reached gate at 3:35 with no online checkin where as Z did have online check in reached at 3:45, and allowed checkin, here M<Z and Z allowed.

So together also not sufficient. Oprion 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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three conditions of not allowed to board
1) luggage check in before 60 minutes of departure
2) online check in after 3:30 PM if arrives at gate after 3:30 PM
3) if one reaches gate after 3:50 PM when gate closes( irreparable)

statement 1: Not sufficient: reason being Mateo could not be allowed for either satisfying first 2 conditions but not satisfying 3rd condition reaching after 3:50 PM but Zahra is allowed to board so she must have to satisfy condition 3 reaching before 3:50 PM. here, Mateo is late than Zahra
or Mateo having luggage but missing check in 60 minutes before flight departure but still reaching gate suppose at 3:30 PM. she won't be allowed boarding defying condition no-1 wherein Zahra check online before 3:30 PM but reaches gate at 3:45 PM but will be allowed to board satisfying statement-1 but here Zahra is late than Mateo. Insufficient

Statement2:- not sufficient: not enough information to say who did what. Insufficient. all permutations and combination possible for both.

Combine both statement: not sufficient

Mateo may not be allowed for reaching later than 3:50 PM but since Zahra is allowed she will reach gate earlier than 3:50 PM. Mateo late than Zahra
also possible, Mateo satisfy 1st condition of statement 2 do luggage check in at 2:45 PM and check online at 3:31 PM but reaches gate at 3:35 PM. she will be denied boarding for violating condition-2 but Zahra check online before 3:30 PM and reaches at 3:49 PM, but will be allowed. as she has no luggage . Here Mateo earlier than Zahra. Both statement combined is satisfied as well.

So together both statement is not sufficient
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At first it feels complicated. But by creating to cases or scenarios and trying to give a single answer to them we can easily answer the question.

The question asks if Mateo reached the gate later than Zahra?
(1)Zahra boarded, Matheo not
(2)One of them needed to check luggage (Done at 2.45pm), One of them needed to check in Online

Case 1: Mateo arrives earlier
Case 2: Mateo arrives later
S1: He may arrived 3.30 and Zahra arrived 3.35 but Mateo didn't checked in online. We can't know for sure.
S2: Whether Mateo needed to check luggage / check in online or not still does not give us proper answer
S1&S2: Still not certain about why Mateo was not allowed to board. It can be Mateo that needed to check luggage and check in online or it can be Zahra that needed to check luggage and check in online or it can be Mateo that needed to check in online and Zahra that needed to check luggage vice versa. (It does not give us a proper yes or no answer for either case)
Ans (E)
IMO
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rules
If checking luggage, it must be checked by 3:00 PM.
Anyone arriving at the gate after 3:30 PM must have checked in online before 3:30 PM.
No one can board after 3:50PM

Did Mateo reach the gate later than Zahra?
Statement 1
Zahra was allowed to board but Mateo was not
Zahra arrives at 3:40pm, had checked in online-boards.
Mateo arrives at 3:31pm had not checked in online-cannot board.
Here Mateo arrived earlier
Zahra arrives at 3:20 pm-boards.
Mateo arrives at 3:45 without online check-in - cannot board
since we get both yes and no it's Not sufficient.

Statement 2
only one traveler needed to check the luggage, doing so at 2:45 pm and only one checked in online before 3:30 pm.
This does not fix the gate arrival time.
Mateo could have arrived earlier or later than Zahra.
Not sufficient
Statement 1 and 2 together
from statement 2, the luggage drop happened at 2:45pm, this means neither traveler failed the luggage rule.
This means mateo couldn't board solely based on his gate arrival time and online check-in status.
Possibility 1
since zahra boarded without online check-in, she must have arrived at the gate at or before 3:30pm.
mateo had online check-in but still failed to board, he must have arrived after the gate closed at 3:50pm.
Here Mateo arrived later than Zahra.
Possibility 2
Since Mateo did not check in online and failed to board,he must have arrived after 3:30 pm.
zahra checked in online, so she safely boarded anytime upto 3:50pm
Since we get both Yes and No it's Not Sufficient.
ANS: E
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Rules:
Any passenger with luggage must check that luggage at least 1 hour before the 4 pm departure i.e., before 3 pm.
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.

Question: Did Mateo (M) reach the gate later than Zahra (Z)?

Statement 1:
Z was allowed to board but M was not.
This doesn't tell us anything about the times the two arrived so we can assume two cases.
Case 1: M arrived earlier than Z: M arrives at 3:01 pm with luggage to check-in but he is denied since he's later than 3 pm so he's denied boarding. Z arrives at 3: 15 pm without any luggage to check-in but she checked in online before arriving so she's allowed to board.
Case 2: M arrived later than Z: Z arrives at 3:15 pm without luggage and having checked-in online so she's allowed to board. M arrives at 3:54 pm after the gate closes and is denied entry.
Hence, statement 1 is not sufficient.

Statement 2:
Only one of them needed to check luggage, doing so at 2:45 pm, and only one of them checked in online at 3:30 pm.
This statement gives rise to more questions than answers since we don't know what time either of them arrived or whether either of them was allowed to board. Hence, statement 2 is insufficient.

Statement 1 and 2 together:
Combining the information from both the statements together:
Z was allowed to board but M was not. Only one of the travellers needed to check luggage, which they did at 2:45 pm, and only one of them checked in online before 3:30 pm.
This clearly implies that Mateo was not denied entry because of a luggage check-in issue so he must've been denied entry for one of two reasons: 1. He arrived between 3:30 pm and 3:50 pm without having done an online check-in, or, 2. He arrived after 3:50 pm. Even with all the above information, we can create multiple cases:
Case 1: M arrived earlier than Z: M arrives at the airport at 2:45 pm with luggage, checks it in, but arrives at the boarding gate at 3:31 pm without having checked-in online and so is denied entry. Z arrives at 3: 40 pm, having checked-in online before 3:30 pm and so is permitted to board the plane.
Case 2: M arrived later than Z: Z arrives at the boarding gate at 3:25pm without any luggage to check and boards. M arrives at the airport with luggage, checks it in at 2:45 pm, does his online check-in before 3:30pm but arrives at the gate at 3:54 pm and hence is denied entry.
Both these cases meet all the conditions and we still can't answer the given question.
Therefore, the answer is E. Both the statements together are not sufficient to answer the given question.
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E is our answer- both together are not sufficient, i was stuck with C also but I am getting two possibilities when i apply them.

So,

3 things are imp - check in 60 mins - lugg- anyone arriving at gate after 3.30 must check in online, and no one is allowed to board once 3.50pm is gone.

Note, that in A - Zahra was allowed to board but mateo was not, this doesnt help us to arrive who came at thee gate first, it must have been the case where mateo did not do online check in but reached the gate earlier and was not allowed to board, and he can ofcourse be last to arrive and doing other activities.

B--One traveller is mentioned who checked in his luggage, on time and one did the online check in before 3.30pm, this does not specifically say who was that traveller and can be both and we cannot arrive at the solution.

No combine A AND B - Zahra was allowed to board - maybe because she is not the person we are talking about in both cases, where she might have reached at 3.55 at the gate and may reach at 3.45 as well (we cant really say), if it talks about Mateo he can also be both cases.
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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
We cannot say the times at which both Mateo and Zahra arrived at the gate
Mateo could have come at 3:35 but denied as he may not have checked in online while Zahra was permitted at 3:40 if she did online check in. Conversely we can make the same case where Mateo could have come later than Zahra.
Hence NOT SUFFICIENT

Statement 2
We do not know who checked in luggage at 245 and who checked in online at 330 PM and cannot conclude who arrived earlier
Hence NOT SUFFICIENT

Statement 1 and 2 together
If Mateo checked in luggage at 245 but came to the gate after 330 , he could still be rejected while Zahra could be permitted at 330 since she checked in online
Also Mateo could be rejected if he came at 335 PM after checking in luggate at 245 as if he did not check in online while Zahra could pe permitted even at 345 after checking in lone
Hence NOT SUFFICIENT

Answer - E
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Should be A as if one of them was only allowed, must have reached gate after 3:50PM or gate closing time.

Second statement is insufficient as not necessarily both had check in luggage, also reaching far information is unclear
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to board the flight:
1) person with luggage must check at least 60 min before 4 pm departure flight.
2) if someone is arriving at the gate after 3:30 must check in online before 3:30 pm
3) no passenger is allowed to board if they arrive after gate closes at 3:50 pm.

M and Z arrive at different time.

find: did M arive later than Z?

so if someone is arriving after 3:30 and has checked in online, but reach the gate at 3:50 or later, they will not be permitted the entry.

S-1

Z was allowed to board but not M. but in that case either person could have come earlier. may be M had luggage and arrived between 3 and 3:30.

so this doesnt tell who came first.
not sufficient.

S-2

but here in either of scenario , any person could have been in either of the position.
so not sufficient.

S- 1& 2

Z was allowed but M not.
one had luggage and needed to check in at 2:45 while other needed to checked in online before 3:30 pm.

here, Z could have come at 3:30 with online check in whereas M had luggage and needded to checked in at 2:45 but came at 3:15 and hence not allowed. in that case M came earlier.
Z could have come at 2:45 with luggage and M came at 3:50 but did online checked in before 3:30 but not allowed to board. in thast case Z came earlier.

so no definite ans.

Choice 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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let zahra be Z, moteo be M

1. Z at 3:25 PM but M at 3:55 P.M ..YES
Z with online checkin comes at 3:45 pm but M without online checkin comes at 3:35 pm.. NO......INSUFFICIENT

2. Z at 2:45 luggage drop off & at 3:25 to gate BUT M at 3:45 to gate...YES
but reverse can also be true...INSUFFICIENT

together,
Z at 2:45 luggage drop & 3:25 to gate...M with online check at 3:25 but 3:55 at gate...YES
Z with online checkin at 3:45..M luggage drop at 2:45 but without online check at 3:35 at gate...NO
INSUFFICIENT

Ans E
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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.

Zara could have reached the gate earlier and Mateo could have reached the gate later, or other possibility is Mateo could have reached the gate earlier but some parameter was missing such as online check-in etc. Hence, S1, doesn't help much.

Not sufficient.

2. We have no information on when they reached the gate. Hence, the statement is not sufficient.

Not Sufficient alone.

Combined, the statements don't provide enough information on the reason on why Mateo was not allowed to board.

Hence, option E.
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Three rules:
Cannot board if Luggage is not checked in by 3 PM.
Passenger arriving at the gate after 3:30 must have checked in online.
Passenger will not be allowed to board in case they arrive at the gate after 3:50 PM.
We need to find if Mateo reached later than Zahra.

Statement 1:
Zahra allowed and Mateo was not.
This could have been due to any of the 3 rules for example Mateo could have arrived after 3:30 without online check-in or arrive after 3:50 at the gate.

Not sufficient why Mateo was not allowed.

Statement 2:
One of them needed to check luggage at 2:45 and one of them checked online.
There is still one condition missing here who reached the Gate when is missing this is still not clear which could be a deciding factor.
Hence Not sufficient.

Combining (1) + (2):
Lets evaluate the possible cases here:
Case 1 Zahra comes at 3:25 and boards. Mateo comes at 3:35, Online checking not done no online so doesn't board. Mateo comes later.

Case 2 Mateo comes at 3:35, doesn't do no online check-in so not allowed to board.
Zahra comes at before 3:50 but after 3:35 , Checks online and boards. Zahra comes later.

I still cannot determine who arrived later.

IMO Ans is 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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Statement A alone not sufficient -> maybe Mateo arrived 3:31pm & Zahra 3:35pm but Mateo didn't check online & hence wasn't allowed to board, else Zahra arrived 3:31pm & Mateo 3:35pm but didn't check in online hence not allowed to board.
Statement B alone also not sufficient since we don't know who is who.
Statement A + B, means both followed rules but one arrived at the gate after 3:50pm, but we don't who who is who so can't determine.
Hence, 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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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) Zahra has entered the plane and Mateo has not. This situation can happen for reasons. Maybe Mateo did not have the papers or his ticket was not confirmed. We do not know why Mateo is not allowed to get on the plane. So we cannot say who got to the airport late. This information is not enough.

(2) One person checked their bags at 2:45 PM. Another person did their check-in before 3:30 PM. This does not tell us when they got to the gate. We still do not know who arrived first at the gate. This information is not enough.

Combined: We can think of situations where Mateo gets to the gate late and situations where Zahra gets to the gate late. Zahra arriving late is one possibility and Mateo arriving late is another possibility. We can imagine different scenarios, for Zahra and Mateo.

Option E is correct.
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statement 1:- if Zahra was allowed to board it mean she arrived at gate before 3:50pm and since Mateo was not allowed to board that means he reached gate after 3:50pm. this statement 1 alone is sufficient.

Statement 2:- it specifies only the timing of luggage checkin and online checkin and does not provide any information about reaching the gate. statement 2 is not sufficient.

Answer is 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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Luggage checkin closes at 60 mins ahead
Online checkin closes 30 mins before
Boarding closes 10 mins before

St1:Zahra was allowed to board nut not Mateo, so Zara came to the gate before Mateo.
St1 is sufficient.
St2 doesn't clearly state who was at the final gate before the other
Option A is correct
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