Calculating Day of the Week for 10 July 2015
To find the day of the week for 10 July 2015, given that 15 March 2015 was a Monday, we need to calculate the total number of days between these two dates and find the remainder when divided by 7.
Determining Total Days
- Days remaining in March: 31 - 15 = 16 days
- Days in April: 30 days
- Days in May: 31 days
- Days in June: 30 days
- Days in July (up to 10th): 10 days
- Total days = 16 + 30 + 31 + 30 + 10 = 117 days
Finding the Day Shift
Calculate the number of weeks and the remaining days:
Total days = 117
Divide by 7: $117 \div 7 = 16$ with a remainder of 5. The expression is $117 \pmod{7} = 5$.
This remainder of 5 indicates the shift in the day of the week.
Calculating the Final Day
The starting day is Monday (15 March 2015). Add the remainder of 5 days to Monday:
- Monday + 1 day = Tuesday
- Monday + 2 days = Wednesday
- Monday + 3 days = Thursday
- Monday + 4 days = Friday
- Monday + 5 days = Saturday
Therefore, 10 July 2015 will be a Saturday.
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Important Questions from Calendar
A bell rings every 18 minutes. A second bell rings every 24 minutes. A third bell rings every 32 minutes. If all the three bells ring at the same time at 8 o'clock in the morning, at what other time will they all ring together?
Assume that 1. the hour and minute hands of a clock move without jerking. 2. the clock shows a time between 8 o'clock and 9 o'clock. 3. the two hands of the clock are one above the other. After how many minutes (nearest integer) with the two hands will be again lying one above the other?
If the 3rd day of a month is Monday, which one of the following will be the fifth day from 21st of this month?
Two cars start towards each other, from two places A and B which are at a distance of 160 km. They start at the same time 08 : 10 AM.
If the speeds of the cars are 50 km and 30 km per hour respectively, they will meet each other at
If it is Saturday on 27th September, what day will it be on 27th October of the same year?
