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Q:

What was the day on 15th august 1947 ?

A) Friday B) Saturday
C) Sunday D) Thursday
 
Answer & Explanation Answer: A) Friday

Explanation:

15 Aug, 1947 = (1946 years + Period from 1.1.1947 to 15.8.1947)

15th_August_1947_day1534219857.jpg image

 

Odd days in 1600 years = 0 

 

Odd days in 300 years = 1

 

46 years = (35 ordinary years + 11 leap years) = (35 x 1 + 11 x 2)= 57 (8 weeks + 1 day) = 1 odd day 

 

Jan.   Feb.   Mar.   Apr.   May.   Jun.   Jul.   Aug 

 

( 31 + 28 + 31 + 30 + 31 + 30 + 31 + 15 ) = 227 days = (32 weeks + 3 days) = 3 odd days.

 

Total number of odd days = (0 + 1 + 1 + 3) = 5 odd days. 

 

 

Hence, as the number of odd days = 5 , given day is Friday.

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Q:

The calendar of the year 2024 can be used again in the year?

A) 2030 B) 2052
C) 2048 D) 2036
 
Answer & Explanation Answer: B) 2052

Explanation:

NOTE :

Repetition of leap year ===> Add +28 to the Given Year.

Repetition of non leap year

Step 1 : Add +11 to the Given Year. If Result is a leap year, Go to step 2.

Step 2:  Add +6 to the Given Year.

 

Solution : 

Given Year is 2024, Which is a leap year.

So, Add +28 to the given year (i.e 2024 + 28) = 2052

Therfore, The calendar of the year 2024 can be used again in the year 2052.

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Q:

How many leap years do 300 years have?

A) 75 B) 74
C) 72 D) 73
 
Answer & Explanation Answer: C) 72

Explanation:

Given year is divided by 4, and the quotient gives the number of leap years.

Here, 300%4 = 75.

But, as 100,200 and 300 are not leap years => 75 - 3= 72 leap years.

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Q:

How many leap years does 100 years have?

A) 25 B) 24
C) 4 D) 26
 
Answer & Explanation Answer: B) 24

Explanation:

Given year is divided by 4, and the quotient gives the number of leap years.

Here, 100%4 = 25.

But, as 100 is not a leap year => 25 - 1= 24 leap years.

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Q:

Which of the following year is a leap year?

A) 2500 B) 1700
C) 1900 D) 2400
 
Answer & Explanation Answer: D) 2400

Explanation:

NOTE: For a century year,it is divided by 400 and leaving a ramainder of 0 results a leap year.

So,2400 when divided by 400 leaves a remainder 0.

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Q:

Which year has 366 days?

A) 1900 B) 1200
C) 2500 D) 1700
 
Answer & Explanation Answer: B) 1200

Explanation:

NOTE: When a century year leaves a remiander 0, when divided by 400 then it is a leap year (366 days).

So, 1200 has 366 days.

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Q:

Which century year is a leap year?

A) 1900 B) 1700
C) 1600 D) 1100
 
Answer & Explanation Answer: C) 1600

Explanation:

NOTE: For an century year,it is divided by 400,when leaves a remainder 0 then it is a leap year.

So, 1600

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Q:

Which of the following years have 366 days?

A) 1984 B) 1863
C) 1900 D) 2500
 
Answer & Explanation Answer: A) 1984

Explanation:

NOTE: When an year leaves a remainder 0 when divided by 4,then it is a leap year.

Here, 1984 divided by 4 leaves a remainder 0.

So, answer 1984 (366 days => leap year)

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