June 25, 1982, fell on a Friday. On which day of the week did June 25, 1987, fall? (Note: 1984 was a leap year.)
A. Sunday
B. Monday
C. Tuesday
D. Wednesday
E. Thursday
Answer: E
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June 25, 1982, fell on a Friday. On which day of the week did June 25, 1987, fall? (Note: 1984 was a leap year.)
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Gmat_mission
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June 25, 1982 was a friday
365 days in a regular year, which is 7X52 + 1, so if a given day is friday, then that day + 365 days is the next calendar day
June 25, 1983 was thus a Saturday
1984 was a leap year, so one extra day in Feb, making June 25, 1984 a Monday (instead of Sunday)
No more leap years until 1987
So june 25, 1985 was Tuesday,
So june 25, 1986 was Wednesday
and june 25, 1987 was Thursday
365 days in a regular year, which is 7X52 + 1, so if a given day is friday, then that day + 365 days is the next calendar day
June 25, 1983 was thus a Saturday
1984 was a leap year, so one extra day in Feb, making June 25, 1984 a Monday (instead of Sunday)
No more leap years until 1987
So june 25, 1985 was Tuesday,
So june 25, 1986 was Wednesday
and june 25, 1987 was Thursday
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Solution:Gmat_mission wrote: ↑Thu Sep 24, 2020 2:47 amJune 25, 1982, fell on a Friday. On which day of the week did June 25, 1987, fall? (Note: 1984 was a leap year.)
A. Sunday
B. Monday
C. Tuesday
D. Wednesday
E. Thursday
Answer: E
Source: GMAT Prep
Since June 25, 1987 is exactly 5 years after June 25, 1982. Including the 1 extra leap day in 1984, 5 x 365 + 1 = 1826 days have elapsed between the two dates. Since 1826/7 = 260 R 6, we see that 260 weeks and 6 days have elapsed between the two dates. Since June 25, 1982 fell on a Friday and June 25, 1987 would be 6 days after Friday, June 25, 1987 fell on a Thursday.
Answer: E
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