Quantitative Aptitude :: Calender Problems And Answers

2. What was the day of the week on, 16th July, 1776?

A. Monday B. Tuesday
C. Wednesday D. Thursday
Answer & Explanation

Answer: Option B

Explanation:
16th July, 1776 = (1775 years + Period from 1st Jan., 1776 to 16th July, 1776)
Counting of odd days :
1600 years have 0 odd day. 100 years have 5 odd days.
75 years = (18 leap years + 57 ordinary years)
= [(18 x 2) + (57 x 1)] odd days = 93 odd days
= (13 weeks + 2 days) = 2 odd days.
∴ 1775 years have (0 + 5 + 2) odd days = 7 odd days = 0 odd day.
Jan.  Feb.  March   April   May   June   July
31   + 29  +   31    +  30   +  31  +  30  +16 = 198days
= (28 weeks + 2 days) =2days
∴ Total number of odd days = (0 + 2) = 2. Required day was 'Tuesday'.


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