All Categories MCQs
Topic Notes: All Categories
General Description
Plato
- Biography: Ancient Greek philosopher (427–347 BCE), student of Socrates and teacher of Aristotle, founder of the Academy in Athens.
- Important Ideas:
- Theory of Forms
- Philosopher-King
- Ideal State
2331
The first day of a century cannot be:
Answer:
Sunday
The last day of centuries can only be Sunday, Monday, Wednesday, or Friday. Therefore, the first day of the next century must be the day after these: Monday, Tuesday, Thursday, or Saturday. Thus, the first day cannot be Sunday, Wednesday, or Friday.
2332
The last day of a century cannot be:
Answer:
Tuesday
The number of odd days in 100, 200, 300, and 400 years are 5, 3, 1, and 0 respectively. These correspond to Friday, Wednesday, Monday, and Sunday. Therefore, the last day of a century cannot be Tuesday, Thursday, or Saturday.
2333
On what dates of April 2001 did Wednesday fall?
Answer:
4th, 11th, 18th, 25th
First, find the day on 1st April 2001. 2000 years have 0 odd days. Days in 2001 up to April 1 = 31 (Jan) + 28 (Feb) + 31 (Mar) + 1 (Apr) = 91 days. 91 mod 7 = 0 odd days. 0 means Sunday. So, 1st April was Sunday. Consequently, the first Wednesday is on the 4th, and then 11th, 18th, 25th.
2334
January 1, 2006 was Sunday. What was the day of the week on January 1, 2010?
Answer:
Friday
The years 2006, 2007, and 2009 are ordinary years (1 odd day each), and 2008 is a leap year (2 odd days). Total odd days between Jan 1, 2006, and Jan 1, 2010 = 1 + 1 + 2 + 1 = 5. Adding 5 days to Sunday gives Friday.
2335
The calendar for the year 2012 will be the same for the year:
Answer:
2040
2012 is a leap year. The calendar of a leap year repeats exactly after 28 years. Therefore, the calendar for 2012 will be identical to the calendar for 2012 + 28 = 2040.
2336
The calendar for the year 2007 will be the same for the year:
Answer:
2018
2007 is three years after the leap year 2004. Calendars for years that are 2 or 3 years after a leap year repeat after 11 years. Therefore, 2007 + 11 = 2018.
2337
The calendar for the year 2005 is the same as for the year:
Answer:
2011
2005 is a year immediately following a leap year (2004). The calendar for a year that comes right after a leap year repeats after 6 years. Therefore, 2005 + 6 = 2011.
2338
If today is Monday, what day of the week will it be after 61 days?
Answer:
Saturday
Every 7 days, the day of the week repeats. Dividing 61 by 7 gives a remainder of 5 (since 56 is exactly divisible by 7). Counting 5 days forward from Monday brings us to Saturday.
2339
What was the day of the week on 26th January 1950?
Answer:
Thursday
1949 years = 1600 + 300 + 49. Odd days = 0 + 1 + (12 × 2 + 37 × 1) = 1 + 61 = 62 = 6 odd days. Days in 1950 up to Jan 26 = 26 = 5 odd days. Total odd days = 6 + 5 = 11. 11 mod 7 = 4 odd days. Day 4 is Thursday.
2340
What was the day of the week on 15th August 1947?
Answer:
Friday
1946 years = 1600 (0 odd days) + 300 (1 odd day) + 46 (11 leap + 35 ordinary = 57 odd days = 1 odd day). Total odd days till 1946 = 2. Odd days from Jan 1 to Aug 15, 1947 = 227 days = 3 odd days. Total = 2 + 3 = 5 odd days. Day 5 is Friday.