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Q1) What day of the week was on February 11, 1926? 1) Monday 2) Wednesday 3) Thursday 4) Friday Solution: Odd years in 400 years are '0'. Therefore, odd days in 1600 years are '0'. From 1601 - 1900 (300 years) odd days = 1. From 1901 - 1925 (25 years). There are 6 leap years from 1901 - 1925, 19 normal years from 1901 - 1925. Odd days from 1901 - 1925 is [( 6 × 2 ) + ( 19 × 1 )] = 31 From January 1926 - February 11, 1926 Odd days = 3 + 4 = 7 Total odd days = 1 + 31 + 7 = 39 When 39 is divided by 7 remainder is 4 therefore, February 11, 1926 is Thursday. Hence, option 3. Q2) If April 20, 2007 was Friday, then what will be the day on December 27, 2011. 1) Thursday 2) Wednesday 3) Monday 4) Tuesday Solution: Odd days from April 20, 2007 to April 20, 2008 = 2 (2008 is a leap year) Odd days from April 20, 2008 to April 20, 2009 = 1 Odd days from April 20, 2009 to April 20, 2010 = 1 Odd days from April 20, 2010 to April 20, 2011 = 1 Odd days from April 20, 2011 to December 27, 2011 = 27 Total Odd days = 2 + 1 + 1 + 1 + 27 = 32. When 32 is divided by 7 remainder is 4 therefore, December 27, 2011 will be 4 days after Friday, which is Tuesday. Hence, option 4. Q3) Which of the following cannot be the last day of a century? 1) Thursday 2) Wednesday 3) Monday 4) Friday Solution: Thursday cannot be the last day of the century. Hence, option 1. Q4) What day of the week was on November 7, 1857? 1) Sunday 2) Saturday 3) Thursday 4) Friday Solution: Odd years in 400 years are '0'. Therefore, odd days in 1200 years are '0'. From 1201 - 1800 (200 years) odd days = 3. From 1801 - 1856 (56 years). There are 14 leap years from 1801 - 1856, 42 normal years from 1801 - 1856. Odd days from 1801 - 1856 is [( 14 × 2 ) + ( 42 × 1 )] = 70 = 0 From January 1857 - November , 1857 Odd days = 0(January - September) + 3(October) + 0(Till November 7) = 3 Total Odd days till November 7, 1857 = 6 therefore, November 7, 1857 is Saturday. Hence, option 2. Q5) Calendar for the year 2007 will be the same for which of the following years? 1) 2016 2) 2017 3) 2018 4) 2019 Solution: Number of odd days from 2007 to 2017 = 14 Hence, option 3. Q6) Which of the following is a leap year? 1) 2007 2) 2016 3) 2001 4) 1997 Solution: As 2016 is completely divisible by 4. Hence, option 2. Q7) Today is Monday. What will be the day after 64 days? 1) Saturday 2) Friday 3) Thursday 4) Tuesday Solution: As 2016 is completely divisible by 4. Hence, option 2. Q8) If 8th Nov, 2007 is a Saturday. What day of the week was it on 8th Nov, 2006? 1) Thursday 2) Friday 3) Sunday 4) Monday Solution: As 2006 is a normal year so it has 1 odd day. So, required day is one day before Saturday. Hence, option 2. |