Mathematics/General Ability MCQs
Topic Notes: Mathematics/General Ability
MCQs and preparation resources for competitive exams, covering important concepts, past papers, and detailed explanations.
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
91
What day of the week was 9th November 1989?
Answer:
Thursday
1988 years = 1600(0) + 300(1) + 88(22 LY + 66 NY = 44+66=110 = 5 odd). Total = 6 odd days. 1989 is NY. Jan to Nov 9 = 3+0+3+2+3+2+3+3+2+3+9 = 33 = 5 odd days. Total = 6+5 = 11 = 4 odd days. Day 4 is Thursday.
92
Which among the following years will have the same calendar as 2020?
Answer:
2048
2020 is a leap year. The calendar for any leap year repeats identically after an exact 28-year interval. Therefore, 2020 + 28 = 2048.
93
What day of the week was 28th May 2006?
Answer:
Sunday
2005 years = 2000(0) + 5(1 LY + 4 NY = 2+4=6 odd days). 2006 is NY. Jan to May 28 = 3+0+3+2+28 = 36 = 1 odd day. Total = 6+1 = 7 = 0 odd days. Day 0 is Sunday.
94
If today is Sunday, what was the day of the week 45 days ago?
Answer:
Thursday
To go backward in time, we subtract the odd days. 45 / 7 = 6 weeks with a remainder of 3 odd days. Subtracting 3 days from Sunday brings us directly to Thursday. Wait, Sunday - 1 = Sat, -2 = Fri, -3 = Thu. Let me correct the options to make Thursday correct.
95
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.
96
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.
97
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.
98
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.
99
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.
100
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.