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Calendar Questions and Answers

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21.

If today is Monday, what day of the week will it be after 61 days ?

Answer: C

Correct answer: Saturday

Only the remainder after dividing by 7 matters, since each complete week returns to the same day.

\[61 = 8 \times 7 + 5\]

Counting five days on from Monday gives Saturday.

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22.

The calendar of year 1856 is same as which year?

Answer: B

1856 is a leap year, so its calendar returns after 28 years:

\[ 1856 + 28 = 1884 \]

Both must be leap years beginning on the same weekday, which the 28-year cycle ensures - and 1884 is indeed divisible by 4.

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23.

How many days are there in x weeks x days?

Answer: B

Each week is seven days, so

\[ x \text{ weeks } + x \text{ days} = 7x + x = 8x \text{ days} \]

The two \( x \)'s are added, not multiplied - \( 7x^{2} \) would be the result of multiplying them.

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24.

26 january 1950 which day of the week?

Answer: C

We know that,

Odd days --> days more than complete weeks

Number of odd days in 400/800/1200/1600/2000 years are 0.

Hence, the number of odd days in first 1600 years are 0.

Number of odd days in 300 years = 1

Number of odd days in 49 years = (12 x 2 + 37 x 1) = 61 days = 5 odd days

Total number of odd days in 1949 years = 1 + 5 = 6 odd days

Now look at the year 1950

Jan 26 = 26 days = 3 weeks + 5 days = 5 odd days

Total number of odd days = 6 + 5 = 11 => 4 odd days

 

Odd days :-

0 = sunday ;

1 = monday ;

2 = tuesday ;

3 = wednesday ;

4 = thursday ;

5 = friday ;

6 = saturday

Therefore, Jan 26th 1950 was Thursday.

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25.

Which year has 366 days?

Answer: B

A year is a leap year if it is divisible by 4, except that a century year must also be divisible by 400.

  • 1900 ÷ 400 is not whole ✗
  • 1700 ÷ 400 is not whole ✗
  • 2500 ÷ 400 is not whole ✗
  • \( 1200 \div 400 = 3 \) ✓

So 1200 has 366 days. All four are divisible by 4, which is exactly why the century rule is needed to separate them.

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26.

How old are you if you are born in 1995?

Answer: B

If the month in which you are born is completed in the present year i.e, your birthday, then

Your Age = Present year - Year you are born 

As of now, present year = 2018

i.e, Age = 2018 - 1995 = 23 years.

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27.

If 1st January 2008 was a Tuesday, what day of the week was 1st January 2009 ?

Answer: A

Correct answer: Thursday

2008 is a leap year, so it contains 366 days.

\[366 = 52 \times 7 + 2\]

That leaves 2 odd days, so the day advances by two: Tuesday becomes Thursday. An ordinary year would advance the day by only one.

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28.

How many weekends in a year?

Answer: A

Weekend means Saturday & Sunday together. In total we have 52 weeks in a year. So there are 52 weekends in a year.

In normal we have 104 Weekend Days.

 We know that a Each normal year has 365 days or 52 weeks plus one day, and each week has two weekend days, which means there are approximately 104 weekend days each year.
Whereas in a leap year we have 366 days it adds one more day to the year. And what makes the change is the starting day of the year.

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29.

1.12.91 is the first Sunday. Which is the fourth Tuesday of December 91 ?

Answer: B

1 December 1991 is a Sunday, so the first Tuesday is the 3rd.

\[ \text{Tuesdays: } 3, 10, 17, 24, 31 \]

The fourth is 24.12.91. The 17th is the third Tuesday, which is why it appears as a distractor.

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30.

What was the day on 2nd Jan 1901 ?

Answer: B

2nd Jan 1901 means
(1900 years and 2 day)
Now, 1600 years have 0 odd day
300 years have 1 odd day
2 days has 2 odd day
Total no. of odd days = 0 + 1 + 2 = 3 days
Hence, the day on 2nd Jan 1901 was Wednesday.

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