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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
muskang2000
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Schools: ISB HEC Sept '27 IIM Anderson '27
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17 Aug 2026, 03:22
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Here's my attempt:
Statement 1: Shutdown + 6 hours --> lands on Monday (imagine 6pm Sunday + 6 hours gives Monday and 10am Monday + 6 hours gives Monday) so shutdown can happen both on Sunday and Monday. No clear answer so A, D is out.
Statement 2: Shutdown − 17 hours --> lands on Monday (imagine 6pm Tuesday - 17 hours gives Tuesday and 11pm Monday - 17 hours still gives Monday) so shutdown can again happen on two days: namely Tuesday and Monday. So B is out.
Combining Both Statements:
Statement 1 restricts shutdown to: Sunday 6pm and onwards, or Monday before 6pm. Outside this range, the condition that shutdown + 6hrs lands on Monday wont be sufficed.
Statement 2 restricts shutdown to: Monday 5pm and onwards, or Tuesday before 5pm
The only overlap between these two sets of possibilities is: Monday 5pm or Tuesday 6pm
Just to confirm, check if shutdown was Monday 5:30pm
then, Statement 1: +6 hours --> Monday 11:30pm (still Monday)
and Statement 2: −17 hours --> Monday 12:30am (still Monday)
Both check out, and no other day works. Therefore, the museum shut down the test on Monday. So, answer is C.
Statement 1: Shutdown + 6 hours --> lands on Monday (imagine 6pm Sunday + 6 hours gives Monday and 10am Monday + 6 hours gives Monday) so shutdown can happen both on Sunday and Monday. No clear answer so A, D is out.
Statement 2: Shutdown − 17 hours --> lands on Monday (imagine 6pm Tuesday - 17 hours gives Tuesday and 11pm Monday - 17 hours still gives Monday) so shutdown can again happen on two days: namely Tuesday and Monday. So B is out.
Combining Both Statements:
Statement 1 restricts shutdown to: Sunday 6pm and onwards, or Monday before 6pm. Outside this range, the condition that shutdown + 6hrs lands on Monday wont be sufficed.
Statement 2 restricts shutdown to: Monday 5pm and onwards, or Tuesday before 5pm
The only overlap between these two sets of possibilities is: Monday 5pm or Tuesday 6pm
Just to confirm, check if shutdown was Monday 5:30pm
then, Statement 1: +6 hours --> Monday 11:30pm (still Monday)
and Statement 2: −17 hours --> Monday 12:30am (still Monday)
Both check out, and no other day works. Therefore, the museum shut down the test on Monday. So, answer is C.
