PS - Word Problems

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PS - Word Problems

by rupamroy » Tue Nov 20, 2012 5:29 pm
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
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by Bill@VeritasPrep » Tue Nov 20, 2012 6:17 pm
Each successive year, a given date is one day later in the week.

In a leap year, any dates after February 29th (leap day) actually move back two days in the week because you've inserted another day in front of them.

1982: Friday
1983: Saturday
1984: Monday (move two days because of leap year)
1985: Tuesday
1986: Wednesday
1987: Thursday
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by GMATGuruNY » Tue Nov 20, 2012 7:25 pm
rupamroy wrote: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
Between 1982 and 1987 are 4 non-leap years and 1 leap year.
Each non-leap year is composed of 365 days; a leap year is composed of 366 days.
Thus, from June 25, 1982 to June 25, 1987, the total number of days = 4(365) + 366.

Since June 25, 1982 is a Friday, every passing of 7 days will yield another Friday.
364 is a multiple of 7.
Rephrase the total number of days in terms of 364:
4(365) + 366

= 4(364+1) + (364+2)

= (4*364 + 4) + (364+2)

= 5(364) + 6

= (multiple of 7) + 6

= Friday + 6 days

= Thursday.

The correct answer is E.
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