7. | On what dates of April, 2001 did Wednesday fall? | |||||||
Answer: Option D Explanation: We shall find the day on 1^{st} April, 2001. 1^{st} April, 2001 = (2000 years + Period from 1.1.2001 to 1.4.2001) Odd days in 1600 years = 0 Odd days in 400 years = 0 Jan. Feb. March April Total number of odd days = (0 + 0 + 0) = 0 On 1^{st} April, 2001 it was Sunday. In April, 2001 Wednesday falls on 4^{th}, 11^{th}, 18^{th} and 25^{th}. |
8. | How many days are there in x weeks x days? | |||||||
Answer: Option B Explanation:
x weeks x days = (7x + x) days = 8x days. |
9. | The last day of a century cannot be | |||||||
Answer: Option C Explanation:
100 years contain 5 odd days. Last day of 1^{st} century is Friday. 200 years contain (5 x 2) 3 odd days. Last day of 2^{nd} century is Wednesday. 300 years contain (5 x 3) = 15 1 odd day. Last day of 3^{rd} century is Monday. 400 years contain 0 odd day. Last day of 4^{th} century is Sunday. This cycle is repeated. Last day of a century cannot be Tuesday or Thursday or Saturday. |
10. | On 8^{th} Feb, 2005 it was Tuesday. What was the day of the week on 8^{th} Feb, 2004? | |||||||
Answer: Option C Explanation:
The year 2004 is a leap year. It has 2 odd days. The day on 8^{th} Feb, 2004 is 2 days before the day on 8^{th} Feb, 2005. Hence, this day is Sunday. |