The 19th of September 1987 was Saturday GMAT Problem Solving

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Question: The 19th of September 1987 was Saturday. What day was the 20th of September 1990 if 1988 was a leap- year?

  1. Monday
  2. Tuesday
  3. Wednesday
  4. Thursday
  5. Friday

Answer:

Approach Solution (1):

There are 365 days in an ordinary year and 366 days in a leap- year.

365 divided by 7 (a week period) yields a remainder of 1, thus the same date after an ordinary year would fall on the next day of a week;

366 divided by 7 (a week period) yields a remainder of 2, thus the same date after a leap- year would fall two days after in a week;

Thus 3 years, 1988, 1989 and 1990, will accumulate 2 + 1 + 1 = 4 days, plus 1- day difference between 19th and 20th, which gives total of 5- day difference (5- day shift). Thus, 20th of September 1990 was Saturday + 5 days = Thursday

Correct option: D

Approach Solution (2):

In a leap year, the Gregorian calendar adds an extra day to the shortest month of the year- February. So instead of February having 28 days as in an ordinary year, in a leap year, February has 29 days.

Thus if 19th of September 1987 was a Saturday 1988 would be a Monday as you add an extra day in February 1988. Using the same logic/ pattern, 19th of September 1989 would be a Tuesday, 19th of September 1990 would be a Wednesday and the 20th of September 1990 would be a Thursday.

Correct option: D

“The 19th of September 1987 was Saturday. What day was the 20th of September 1990 if 1988 was a leap- year?”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book “GMAT Official Guide Quantitative Review”. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. The GMAT Quant topic in the problem-solving part requires calculative mathematical problems that should be solved with proper mathematical knowledge.

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