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What is the year next to 1990 which will have the same calendar as that of the year 1990?
- a)1992
- b)2001
- c)1995
- d)1996
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
What is the year next to 1990 which will have the same calendar as tha...
For a year to have the same calendar with 1990 ,total odd days from 1990 should be 0. Take the year 1992 from the given choices.
Total odd days in the period 1990-1991 = 2 normal years
⇒ 2 x 1 = 2 odd daysTake the year 1995 from the given choices.
Number of odd days in the period 1990-1994 = 4 normal years + 1 leap year
⇒ 4 x 1 + 1 x 2 = 6 odd daysTake the year 1996 from the given choices.
Number of odd days in the period 1990-1995 = 5 normal years + 1 leap year
⇒ 5 x 1 + 1 x 2 = 7 odd days = 0 odd days
(As we can reduce multiples of 7 from odd days which will not change anything) Though number of odd days in the period 1990-1995 is 0, there is a catch here.
1990 is not a leap year whereas 1996 is a leap year.
Hence calendar for 1990 and 1996 will never be the same.Take the year 2001 from the given choices. Number of odd days in the period 1990-2000 = 8 normal years + 3 leap years
⇒ 8 x 1 + 3 x 2 = 14 odd days = 0 odd days
Also, both 1990 and 2001 are normal years.
Hence 1990 will have the same calendar as that of 2001
Total odd days in the period 1990-1991 = 2 normal years
⇒ 2 x 1 = 2 odd daysTake the year 1995 from the given choices.
Number of odd days in the period 1990-1994 = 4 normal years + 1 leap year
⇒ 4 x 1 + 1 x 2 = 6 odd daysTake the year 1996 from the given choices.
Number of odd days in the period 1990-1995 = 5 normal years + 1 leap year
⇒ 5 x 1 + 1 x 2 = 7 odd days = 0 odd days
(As we can reduce multiples of 7 from odd days which will not change anything) Though number of odd days in the period 1990-1995 is 0, there is a catch here.
1990 is not a leap year whereas 1996 is a leap year.
Hence calendar for 1990 and 1996 will never be the same.Take the year 2001 from the given choices. Number of odd days in the period 1990-2000 = 8 normal years + 3 leap years
⇒ 8 x 1 + 3 x 2 = 14 odd days = 0 odd days
Also, both 1990 and 2001 are normal years.
Hence 1990 will have the same calendar as that of 2001
Most Upvoted Answer
What is the year next to 1990 which will have the same calendar as tha...
We know that for leap yrs we get remainder as '0'
and follow this pattern
leap yr next yr next yr next yr leap yr
+28 (here if we here if 2 here if 3 +28
get remainder comes as remainder
as '1' = +6to the yr) +11 +11
for every 4 yrs we get a leap yr so I took in this way.
for example, 2021 , which yr will have same calendar...
then divide the last 2 digits by 4 .... 21÷4=1..i said if 1 is remainder then add 6 to the given yr in the question. so,
2021+6yrs =2027
therefore again on 2027 we will have same calendar of 2021.
here u have asked for the yr 1990
so divide 90 by 4 u get 2 as remainder . so I said if 2 or 3 comes as remainder add 11 to the given yr. so, 1990+11yrs=2001
again on the yr 2001 we Will have same calendar of 1990.
tq
and follow this pattern
leap yr next yr next yr next yr leap yr
+28 (here if we here if 2 here if 3 +28
get remainder comes as remainder
as '1' = +6to the yr) +11 +11
for every 4 yrs we get a leap yr so I took in this way.
for example, 2021 , which yr will have same calendar...
then divide the last 2 digits by 4 .... 21÷4=1..i said if 1 is remainder then add 6 to the given yr in the question. so,
2021+6yrs =2027
therefore again on 2027 we will have same calendar of 2021.
here u have asked for the yr 1990
so divide 90 by 4 u get 2 as remainder . so I said if 2 or 3 comes as remainder add 11 to the given yr. so, 1990+11yrs=2001
again on the yr 2001 we Will have same calendar of 1990.
tq
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Community Answer
What is the year next to 1990 which will have the same calendar as tha...
To determine the year next to 1990 that will have the same calendar, we need to consider the leap years and the number of days in each month for both years.
Step 1: Leap Years
First, let's determine if 1990 is a leap year. A leap year occurs every 4 years, except for years that are divisible by 100 but not divisible by 400.
Checking for 1990:
- 1990 is not divisible by 4, so it is not a leap year.
Step 2: Number of Days in Each Month
Next, let's compare the number of days in each month for 1990 and the potential years to find a match.
1990:
- January has 31 days
- February has 28 days (since it is not a leap year)
- March has 31 days
- April has 30 days
- May has 31 days
- June has 30 days
- July has 31 days
- August has 31 days
- September has 30 days
- October has 31 days
- November has 30 days
- December has 31 days
Checking for the potential years:
Option A: 1992
- January has 31 days
- February has 29 days (since it is a leap year)
- March has 31 days
- April has 30 days
- May has 31 days
- June has 30 days
- July has 31 days
- August has 31 days
- September has 30 days
- October has 31 days
- November has 30 days
- December has 31 days
Option B: 2001
- January has 31 days
- February has 28 days (since it is not a leap year)
- March has 31 days
- April has 30 days
- May has 31 days
- June has 30 days
- July has 31 days
- August has 31 days
- September has 30 days
- October has 31 days
- November has 30 days
- December has 31 days
Option C: 1995
- January has 31 days
- February has 28 days (since it is not a leap year)
- March has 31 days
- April has 30 days
- May has 31 days
- June has 30 days
- July has 31 days
- August has 31 days
- September has 30 days
- October has 31 days
- November has 30 days
- December has 31 days
Option D: 1996
- January has 31 days
- February has 29 days (since it is a leap year)
- March has 31 days
- April has 30 days
- May has 31 days
- June has 30 days
- July has 31 days
- August has 31 days
- September has 30 days
- October has 31 days
- November has 30 days
- December has 31 days
Step 3: Finding the Match
Comparing the number of days in each month for the potential years, we can see that only Option B:
Step 1: Leap Years
First, let's determine if 1990 is a leap year. A leap year occurs every 4 years, except for years that are divisible by 100 but not divisible by 400.
Checking for 1990:
- 1990 is not divisible by 4, so it is not a leap year.
Step 2: Number of Days in Each Month
Next, let's compare the number of days in each month for 1990 and the potential years to find a match.
1990:
- January has 31 days
- February has 28 days (since it is not a leap year)
- March has 31 days
- April has 30 days
- May has 31 days
- June has 30 days
- July has 31 days
- August has 31 days
- September has 30 days
- October has 31 days
- November has 30 days
- December has 31 days
Checking for the potential years:
Option A: 1992
- January has 31 days
- February has 29 days (since it is a leap year)
- March has 31 days
- April has 30 days
- May has 31 days
- June has 30 days
- July has 31 days
- August has 31 days
- September has 30 days
- October has 31 days
- November has 30 days
- December has 31 days
Option B: 2001
- January has 31 days
- February has 28 days (since it is not a leap year)
- March has 31 days
- April has 30 days
- May has 31 days
- June has 30 days
- July has 31 days
- August has 31 days
- September has 30 days
- October has 31 days
- November has 30 days
- December has 31 days
Option C: 1995
- January has 31 days
- February has 28 days (since it is not a leap year)
- March has 31 days
- April has 30 days
- May has 31 days
- June has 30 days
- July has 31 days
- August has 31 days
- September has 30 days
- October has 31 days
- November has 30 days
- December has 31 days
Option D: 1996
- January has 31 days
- February has 29 days (since it is a leap year)
- March has 31 days
- April has 30 days
- May has 31 days
- June has 30 days
- July has 31 days
- August has 31 days
- September has 30 days
- October has 31 days
- November has 30 days
- December has 31 days
Step 3: Finding the Match
Comparing the number of days in each month for the potential years, we can see that only Option B:
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What is the year next to 1990 which will have the same calendar as that of the year 1990?a)1992b)2001c)1995d)1996Correct answer is option 'B'. Can you explain this answer?
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