On what day did 31 December 2000 fall, if 1 January 2000 was Saturday?
Sunday
The year 2000 is a leap year since it is divisible by 400, so it has 366 days.
The number of days between 1 January and 31 December in the same year is \(366 - 1 = 365\).
Finding the day shift requires computing \(365 \mod 7\), which equals \(1\).
Adding one day to Saturday gives Sunday.
Hence, 31 December 2000 fell on a Sunday.
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Important Questions from Divisibility and Remainder
If the 8-digit number 888x53y4 is divisible by 72, then what is the value of (7x + 2y), for the maximum value of y?
If all positive divisors of 132 are arranged in descending order, then what digit will be at unit place of first divisor ?
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The number 3798125P369 is divisible by 7. What is the value of the digit P?
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:
