A factory shuts down every 14 days. If the shutdown on 1 July 2027 was on Thursday, what day will the factory shut down on 29 July 2027 be ?
Thursday
The factory shuts down every 14 days, so the shutdown dates after 1 July 2027 are \(1 + 14 = 15\) July and \(15 + 14 = 29\) July 2027.
Since 14 days is exactly \(14 \div 7 = 2\) complete weeks, the day of the week repeats after every shutdown.
As the shutdown on 1 July 2027 was on Thursday, the shutdown on 29 July 2027 also falls on Thursday.
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Consider all 3-digit numbers (without repetition of digits) obtained using three non-zero digits which are multiples of 3. Let S be their sum.
Which of the following is/are correct?
1. S is always divisible by 74.
2. S is always divisible by 9.
select the correct answer using the code given below: