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
121
If 2nd October 2005 was Sunday, what day was 2nd October 2006?
Answer:
Monday
Although 2006 is not a leap year, the period crosses a standard 365-day interval. 365 days yield exactly 1 odd day. Moving forward 1 day from Sunday results in Monday.
122
The calendar for 1988 repeats exactly in which year?
Answer:
2016
1988 is a leap year because it is divisible by 4. The entire calendar for any standard leap year replicates itself identically after a strict 28-year cycle. Therefore, 1988 + 28 = 2016.
123
If August 15, 2011, was a Monday, what day was August 15, 2012?
Answer:
Wednesday
The year 2012 is a leap year, and the period between August 15, 2011, and August 15, 2012, includes the leap day (February 29, 2012). This full year interval contains 366 days, providing exactly 2 odd days. Monday + 2 days = Wednesday.
124
If March 5 is a Sunday, what day of the week will April 5 be?
Answer:
Wednesday
March has 31 days. The difference between March 5 and April 5 is exactly 31 days. 31 divided by 7 leaves a remainder of 3 odd days. Moving 3 days forward from Sunday lands perfectly on Wednesday.
125
What will be the day on 15th August 2023?
Answer:
Tuesday
Odd days up to 2022: 2000(0) + 22 (5 LY + 17 NY = 10+17=27 = 6 odd days). 2023 is NY. Jan to Aug 15 = 3+0+3+2+3+2+3+15 = 31 = 3 odd days. Total = 6 + 3 = 9 = 2 odd days. Day 2 is Tuesday.
126
Which century year among the following is NOT a leap year?
Answer:
2100
Under the Gregorian calendar system, a century year is deemed a leap year only if it is divisible by 400. While 1600, 2000, and 2400 all meet this criteria, 2100 does not and is therefore an ordinary year.
127
If Jan 1, 2020 was a Friday, what day was Dec 31, 2020?
Answer:
Saturday
2020 is a leap year, containing 366 days. A leap year always ends one day of the week later than it started. If it started on a Friday, the final day, December 31st, will necessarily be a Saturday.
128
A leap year calendar will always repeat after how many years minimum?
Answer:
28
Because a leap year has 2 odd days, it disrupts the normal 7-year cycle. Due to the spacing of leap years every 4 years, it takes precisely a full 28-year cycle for the odd days to net out to 0 and for the leap year condition to align again.
129
If the 14th of a month is Tuesday, what will be the day on the 29th of the same month?
Answer:
Wednesday
The number of days between the 14th and the 29th is 29 - 14 = 15 days. Dividing 15 by 7 leaves a remainder of 1 odd day. Adding 1 day to Tuesday results in Wednesday.
130
In a regular year, how many odd days are accumulated between January 1st and June 1st?
Answer:
4
Calculate the odd days for the completed months: Jan (3) + Feb (0) + Mar (3) + Apr (2) + May (3). Total = 11 odd days. 11 mod 7 leaves a final remainder of exactly 4 odd days. Let me update the correct option to 4.