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Difficulty:
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48% (02:06) correct
52%
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wrong
based on 384
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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. 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.
(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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13 Jul 2026, 09:00
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Manhattan Prep Official Explanation
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.
To be allowed to board the flight, there are three deadlines: the luggage deadline of 3:00 PM that applies to people with luggage to check, the online check-in deadline of 3:30 PM that applies to people reaching the gate between 3:30 and 3:50 PM, and the 3:50 PM gate closure deadline that applies to everyone.
Glance at the statements. Statement (1) mentions both names, but no times. Statement (2) provides two times, but notes that each time pertains to one of the travelers, not given by name; therefore, it’s unclear whether the two parts of statement (2) refer to the same traveler or to the two travelers separately.
A real-world situation with rules to follow indicates that this is a Logic question.
(1) INSUFFICIENT. Because Zahra was allowed to board, she must have reached the gate anytime before 3:50 PM and met all other requirements. Mateo was not allowed to board, but the time he reached the gate and the reason for his denial are both unknown.
Case 1: Zahra reached the gate at 3:45 PM. Mateo reached the gate at 3:05 PM, but was denied boarding due to missing the 3:00 PM luggage-check deadline. In this case, Zahra reached the gate later.
Case 2: Zahra reached the gate at 2:00 PM. Mateo was denied boarding because he reached the gate at 3:55 PM, after the gate closed. In this case, Mateo reached the gate later.
Since either Mateo or Zahra could have reached the gate later, this statement is not sufficient.
(2) INSUFFICIENT. Because only one person needed to check luggage (and did so before the 3:00 PM luggage deadline), and the other person had no luggage to check, the luggage rule did not result in a denial for either person. Because only one of them checked in online, only that person would be permitted to board after reaching the gate between 3:30 PM and 3:50 PM. However, this statement does not indicate whether Mateo or Zahra were allowed to board nor what time they reached the gate, so either Mateo or Zahra could have reached the gate later.
(1) AND (2) INSUFFICIENT. Because Zahra was allowed to board, she must have reached the gate sometime before 3:50 PM and met all other requirements. Mateo was denied boarding, and statement (2) eliminates luggage as the cause; accordingly, either he reached the gate after 3:50 PM, or he reached the gate between 3:30 and 3:50 PM and wasn’t the person who checked in online.
Case 1: Zahra was the one who checked in online, so she was allowed to board when she reached the gate at 3:45 PM. Mateo did not check in online, so he was denied boarding when he reached the gate at 3:32 PM. In this case, Zahra reached the gate later.
Case 2: Mateo was the one who checked in online, but he reached the gate after it closed at 3:50 PM and was denied boarding. Zahra didn’t check in online, but she didn’t need to because she reached the gate at 3:25 PM, which is before 3:30 PM. In this case, Mateo reached the gate later.
Since either Mateo or Zahra could have reached the gate later, the statements together are not sufficient.
The correct answer is (E): Statements (1) and (2) together are NOT sufficient.
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.
To be allowed to board the flight, there are three deadlines: the luggage deadline of 3:00 PM that applies to people with luggage to check, the online check-in deadline of 3:30 PM that applies to people reaching the gate between 3:30 and 3:50 PM, and the 3:50 PM gate closure deadline that applies to everyone.
Glance at the statements. Statement (1) mentions both names, but no times. Statement (2) provides two times, but notes that each time pertains to one of the travelers, not given by name; therefore, it’s unclear whether the two parts of statement (2) refer to the same traveler or to the two travelers separately.
A real-world situation with rules to follow indicates that this is a Logic question.
(1) INSUFFICIENT. Because Zahra was allowed to board, she must have reached the gate anytime before 3:50 PM and met all other requirements. Mateo was not allowed to board, but the time he reached the gate and the reason for his denial are both unknown.
Case 1: Zahra reached the gate at 3:45 PM. Mateo reached the gate at 3:05 PM, but was denied boarding due to missing the 3:00 PM luggage-check deadline. In this case, Zahra reached the gate later.
Case 2: Zahra reached the gate at 2:00 PM. Mateo was denied boarding because he reached the gate at 3:55 PM, after the gate closed. In this case, Mateo reached the gate later.
Since either Mateo or Zahra could have reached the gate later, this statement is not sufficient.
(2) INSUFFICIENT. Because only one person needed to check luggage (and did so before the 3:00 PM luggage deadline), and the other person had no luggage to check, the luggage rule did not result in a denial for either person. Because only one of them checked in online, only that person would be permitted to board after reaching the gate between 3:30 PM and 3:50 PM. However, this statement does not indicate whether Mateo or Zahra were allowed to board nor what time they reached the gate, so either Mateo or Zahra could have reached the gate later.
(1) AND (2) INSUFFICIENT. Because Zahra was allowed to board, she must have reached the gate sometime before 3:50 PM and met all other requirements. Mateo was denied boarding, and statement (2) eliminates luggage as the cause; accordingly, either he reached the gate after 3:50 PM, or he reached the gate between 3:30 and 3:50 PM and wasn’t the person who checked in online.
Case 1: Zahra was the one who checked in online, so she was allowed to board when she reached the gate at 3:45 PM. Mateo did not check in online, so he was denied boarding when he reached the gate at 3:32 PM. In this case, Zahra reached the gate later.
Case 2: Mateo was the one who checked in online, but he reached the gate after it closed at 3:50 PM and was denied boarding. Zahra didn’t check in online, but she didn’t need to because she reached the gate at 3:25 PM, which is before 3:30 PM. In this case, Mateo reached the gate later.
Since either Mateo or Zahra could have reached the gate later, the statements together are not sufficient.
The correct answer is (E): Statements (1) and (2) together are NOT sufficient.
General Discussion
