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
2231
A year divisible by 4 but not by 400 is:
Answer:
Never a leap year if it ends in 00
By Gregorian calendar rules, century years (ending in 00) must be divisible by 400 to be leap years. Thus, a century year divisible by 4 but not 400 (like 1900) is never a leap year.
2232
If the 3rd of a month is a Monday, what is the day on the 21st of the same month?
Answer:
Friday
Difference in dates is 21 - 3 = 18 days. 18 mod 7 leaves a remainder of 4 odd days. Counting 4 days forward from Monday gives Friday.
2233
If 1st September is a Thursday, what day will be the 1st December of the same year?
Answer:
Thursday
September has 30 days (2 odd), October has 31 (3 odd), and November has 30 (2 odd). Total odd days from Sep 1 to Dec 1 = 2 + 3 + 2 = 7 odd days. 7 mod 7 = 0. So, 1st December is also a Thursday.
2234
If a leap year begins on a Friday, what are the two days that occur 53 times in that year?
Answer:
Friday and Saturday
A leap year has 52 weeks and 2 odd days. The two extra days are consecutive. If the year starts on Friday (Jan 1), the second odd day is Saturday (Jan 2). Thus, both Friday and Saturday will occur exactly 53 times.
2235
If an ordinary year has 53 Tuesdays, what day of the week must the 1st of January be?
Answer:
Tuesday
An ordinary year consists of 52 weeks plus 1 odd day. This odd day determines which weekday occurs 53 times instead of 52. If there are 53 Tuesdays, the year must absolutely begin on a Tuesday.
2236
What is the day of the week on 1st July 2012?
Answer:
Sunday
2011 years = 2000(0) + 11(2 LY + 9 NY = 4+9=13 = 6 odd). 2012 is LY. Jan to Jul 1 = 3+1+3+2+3+2+1 = 15 = 1 odd day. Total = 6+1 = 7 = 0 odd days. Day 0 is Sunday.
2237
If 1st March of a leap year is a Wednesday, what is the day on 1st March of the following year?
Answer:
Thursday
Since the starting date is March 1st of a leap year, the extra leap day (Feb 29th) has already passed. The interval to the next March 1st crosses an ordinary February, totaling 365 days (1 odd day). Wednesday + 1 = Thursday.
2238
If 28th February 2015 was a Saturday, what was the day on 28th February 2016?
Answer:
Sunday
The duration from Feb 28, 2015, to Feb 28, 2016, does not cross the extra leap day (Feb 29, 2016). Therefore, the interval is exactly 365 days, yielding 1 odd day. Saturday + 1 day = Sunday.
2239
How many leap years are there in a span of 100 consecutive years?
Answer:
24 or 25
A span of 100 years typically contains 24 leap years because the century year (e.g., 1900) is usually not a leap year. However, if the 100th year happens to be a multiple of 400 (e.g., 2000), it will be a leap year, yielding 25 leap years. Therefore, it can mathematically be 24 or 25.
2240
Which of the following dates falls on a Sunday?
Answer:
1st Jan 2023
Let's check 1st Jan 2023. Up to 2022: 2000(0) + 22(5 LY + 17 NY = 10+17=27 = 6 odd days). Jan 1 = 1. Total = 6+1=7 = 0 odd days. Day 0 is Sunday. Thus, 1st Jan 2023 was a Sunday.