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
181
If day before yesterday was Thursday, what day will fall 4 days after tomorrow?
Answer:
Thursday
If the day before yesterday was Thursday, today is Saturday. Tomorrow is Sunday. Four days after tomorrow (Sunday) is Sunday + 4 days, which brings us to Thursday. Wait, Thursday + 2 = Saturday (Today). Tomorrow is Sunday. 4 days after Sunday is Thursday. The options don't match my logic perfectly if 'after' means +4. Let's re-read. Today is Saturday. Tomorrow is Sunday. Day 1 after tomorrow = Mon, Day 2 = Tue, Day 3 = Wed, Day 4 = Thu. Option C is Friday. Let me adjust the question slightly. '3 days after tomorrow' = Wednesday. '4 days after tomorrow' = Thursday. I'll correct the option to Thursday.
182
What will be the day of the week on 1st January 2050?
Answer:
Saturday
2000 years have 0 odd days. The next 49 years consist of 12 leap years and 37 ordinary years. Odd days = (12 × 2) + 37 = 24 + 37 = 61. 61 mod 7 = 5 odd days. Add 1 day for Jan 1, 1950. Total = 6 odd days. The 6th day of the week is Saturday.
183
If 15th February 2012 was Wednesday, what was the day on 15th February 2013?
Answer:
Friday
The year 2012 was a leap year, so February had 29 days. The period from Feb 15, 2012, to Feb 15, 2013, includes this 29th day, encompassing 366 days. 366 days equal 52 weeks and 2 odd days. Wednesday + 2 days = Friday.
184
A man was born on 29th February 1896. When did he celebrate his first proper birthday?
Answer:
1904
A person born on 29th February can only celebrate their exact birthday on leap years. 1900 was a century year not divisible by 400, so it was not a leap year and had no Feb 29th. The next leap year was 1904. Thus, his first proper birthday was 8 years later in 1904.
185
If your birthday was on Monday, 14th April 2003, on what day of the week will your birthday fall in 2004?
Answer:
Wednesday
2004 is a leap year. Since the date is April 14th, it falls after the leap day (February 29th). Moving from an ordinary year date to the same date in a leap year past February adds 2 odd days. Monday + 2 days = Wednesday.
186
If 5th March of a year is Friday, what day of the week will be 5th November of the same year?
Answer:
Friday
The months of March and November share the same calendar in any year because the number of odd days between March 1st and November 1st is exactly a multiple of 7 (3+2+3+2+3+3+2+3 = 21). Therefore, 5th March and 5th November will fall on the exact same day, which is Friday.
187
Which two months in a leap year have the exact same calendar?
Answer:
All of the above
In a leap year, calculating the odd days between these pairs yields multiples of 7. Jan to Mar = 3+1+3 = 7. Feb to Jul = 1+3+2+3+2+3 = 14. Mar to Oct = 3+2+3+2+3+3+2+3 = 21. Thus, January-April-July, February-August, and March-November share identical calendars.
188
Which two months in a non-leap year have the exact same calendar?
Answer:
January and October
Months share the same calendar if the total number of odd days between their start dates is 0. From Jan to Sept: 3+0+3+2+3+2+3+3+2 = 21. Since 21 is a multiple of 7, it gives 0 odd days. Hence, January and October start on the same day and have the same calendar.
189
In a 30-day month starting on a Saturday, how many weekends (Saturdays and Sundays) are there?
Answer:
10
A 30-day month has 4 complete weeks (28 days) plus 2 extra days. The 4 weeks contain 4 Saturdays and 4 Sundays. The two extra days (29th and 30th) will match the 1st and 2nd days of the month, which are Saturday and Sunday. Total = 5 Saturdays + 5 Sundays = 10 weekend days.
190
What is the maximum gap between two successive leap years?
Answer:
8 years
Leap years normally occur every 4 years. However, century years (like 1700, 1800, 1900) are not leap years unless divisible by 400. So, from a leap year like 1896, the next leap year is 1904, creating a maximum gap of 8 years.