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
191
If the 1st of January of a leap year is Wednesday, what will be the last day of that year?
Answer:
Thursday
A leap year has 366 days, equating to 52 weeks and 2 odd days. Because there is one more day than an ordinary year, the last day shifts one day forward from the first day. Thus, if the first day is Wednesday, the last day is Thursday.
192
If the 1st of January of a non-leap year is a Tuesday, what will be the last day of that year?
Answer:
Tuesday
An ordinary (non-leap) year has 365 days, which is exactly 52 weeks and 1 day. Because of this single extra day, the first and last days of any ordinary year fall on the exact same day of the week. Therefore, it will be Tuesday.
193
Today is Thursday. What will be the day of the week after 132 days?
Answer:
Wednesday
To find the day, calculate the remainder of 132 divided by 7. 132 / 7 = 18 with a remainder of 6. This means 132 days contain 18 full weeks and 6 odd days. Thursday + 6 days = Wednesday.
194
If 8th of a month falls 3 days after Sunday, what day will be the 17th of that month?
Answer:
Friday
Three days after Sunday is Wednesday. So, the 8th of the month is Wednesday. The 15th will also be a Wednesday (since 8 + 7 = 15). Adding 2 days to the 15th brings us to the 17th, which will be Friday.
195
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.
196
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.
197
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.
198
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.
199
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.
200
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.