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30 May 2026, 09:33
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A museum ran a security system stress test continuously before shutting it down. On what day of the week did the museum shut down the test?
(1) If the museum had continued the test for another 6 hours, the test would have ended on Monday.
(2) If the museum had shut down the test 17 hours earlier than it actually did, the test would have ended on Monday.
(1) If the museum had continued the test for another 6 hours, the test would have ended on Monday.
(2) If the museum had shut down the test 17 hours earlier than it actually did, the test would have ended on Monday.
30 May 2026, 09:33
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Official Solution:
A museum ran a security system stress test continuously before shutting it down. On what day of the week did the museum shut down the test?
(1) If the museum had continued the test for another 6 hours, the test would have ended on Monday.
If adding 6 hours would make the shutdown day Monday, then the actual shutdown must be sometime from Sunday 18:00 up to Monday 18:00. So the shutdown day could be Sunday or Monday. Not sufficient.
(2) If the museum had shut down the test 17 hours earlier than it actually did, the test would have ended on Monday.
If shifting the shutdown 17 hours earlier would make the shutdown day Monday, then the actual shutdown must be sometime from Monday 17:00 up to Tuesday 17:00. So the shutdown day could be Monday or Tuesday. Not sufficient.
(1)+(2) The shutdown time must satisfy both ranges, so it must be from Monday 17:00 up to Monday 18:00. That means the shutdown day must be Monday. Sufficient.
Or: from (1) we have that the shutdown day could be Sunday or Monday, and from (2) we have that the shutdown day could be Monday or Tuesday. To satisfy both, the shutdown must be on Monday. Sufficient.
Answer: C
A museum ran a security system stress test continuously before shutting it down. On what day of the week did the museum shut down the test?
(1) If the museum had continued the test for another 6 hours, the test would have ended on Monday.
If adding 6 hours would make the shutdown day Monday, then the actual shutdown must be sometime from Sunday 18:00 up to Monday 18:00. So the shutdown day could be Sunday or Monday. Not sufficient.
(2) If the museum had shut down the test 17 hours earlier than it actually did, the test would have ended on Monday.
If shifting the shutdown 17 hours earlier would make the shutdown day Monday, then the actual shutdown must be sometime from Monday 17:00 up to Tuesday 17:00. So the shutdown day could be Monday or Tuesday. Not sufficient.
(1)+(2) The shutdown time must satisfy both ranges, so it must be from Monday 17:00 up to Monday 18:00. That means the shutdown day must be Monday. Sufficient.
Or: from (1) we have that the shutdown day could be Sunday or Monday, and from (2) we have that the shutdown day could be Monday or Tuesday. To satisfy both, the shutdown must be on Monday. Sufficient.
Answer: C
