What day of the week will it be 61 days from a Friday?
Wednesday
Finding the Day of the Week
To find the day of the week after a certain number of days, we use the concept that the days of the week repeat in a cycle of 7. This means every 7 days, the day of the week will be the same as the starting day.
We need to find the day of the week 61 days from a Friday.
Calculate the Remainder
The first step is to divide the total number of days (61) by 7 and find the remainder. The remainder tells us how many days forward from the starting day we need to count.
We divide 61 by 7:
\( \text{61 days} \div \text{7 days/week} \)
Using division:
\( 61 = (7 \times 8) + 5 \)
So, 61 divided by 7 gives a quotient of 8 and a remainder of 5.
The remainder is 5. This means that 61 days from the starting day is equivalent to moving 5 days forward from the starting day, after completing 8 full weeks.
Count Forward from Friday
Our starting day is Friday. We need to count 5 days forward from Friday:
- 1 day after Friday is Saturday.
- 2 days after Friday is Sunday.
- 3 days after Friday is Monday.
- 4 days after Friday is Tuesday.
- 5 days after Friday is Wednesday.
Therefore, 61 days from a Friday will be a Wednesday.
Summary
Here is a quick summary of the steps:
- Identify the number of days (61).
- Identify the starting day (Friday).
- Divide the number of days by 7 to find the remainder (\(61 \div 7\), remainder is 5).
- Count the remainder number of days forward from the starting day (5 days from Friday).
| Days Forward | Day of the Week |
|---|---|
| 0 | Friday (Starting Day) |
| 1 | Saturday |
| 2 | Sunday |
| 3 | Monday |
| 4 | Tuesday |
| 5 | Wednesday |
The day of the week 61 days from a Friday is Wednesday.
Important Questions from Miscellaneous
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A railway wagon (open at the top) of mass M1 is moving with speed v1 along a straight track. As a result of rain, after some time it gets partially filled with water so that the mass of the wagon becomes M2 and speed becomes v2. Taking the rain to be falling vertically and the water stationery inside the wagon, the relation between the two speeds v1 and v2 is :
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1. Distance between the longitudes becomes zero on North Pole and South Pole.
2. Distance between the longitudes is maximum on the Equator.
3. Number of longitudes is more than number of latitudes.
Which of the statements given above is/are correct?
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