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
141
If day after tomorrow is Saturday, what day was 3 days before yesterday?
Answer:
Sunday
If the day after tomorrow is Saturday, then today is Thursday. Yesterday was Wednesday. 3 days before Wednesday is Sunday. Therefore, the day was Sunday.
142
A girl was born on 6th September 1970, which was a Sunday. On what day of the week will her 5th birthday fall?
Answer:
Saturday
Her 5th birthday is on 6th September 1975. Total years = 5. During this period, 1972 is the only leap year. Odd days = 4 ordinary years (4) + 1 leap year (2) = 6 odd days. Sunday + 6 = Saturday.
143
If 11th August 1985 was Sunday, what was the day on 11th August 1986?
Answer:
Monday
1986 is an ordinary year. The period from August 1985 to August 1986 spans 365 days, which means there is exactly 1 odd day. Moving forward one year adds 1 day: Sunday + 1 = Monday.
144
How many days are there from 26th January 2008 to 15th May 2008 (both days included)?
Answer:
111
2008 is a leap year, so February has 29 days. Days = Jan (31 - 26 + 1 = 6) + Feb (29) + Mar (31) + Apr (30) + May (15) = 6 + 29 + 31 + 30 + 15 = 111 days.
145
If an Independence Day (15th August) was celebrated on a Tuesday in a non-leap year, on what day will the next Republic Day (26th January) fall?
Answer:
Friday
From Aug 15 to Jan 26: Aug(16) + Sep(30) + Oct(31) + Nov(30) + Dec(31) + Jan(26) = 164 days. 164 mod 7 = 3 odd days. Tuesday + 3 days = Friday. Wait, let me recalculate. Aug(16) -> 2. Sep(30) -> 2. Oct(31) -> 3. Nov(30) -> 2. Dec(31) -> 3. Jan(26) -> 5. Total = 2+2+3+2+3+5 = 17. 17 mod 7 = 3. Tue + 3 = Friday. I'll correct the option.
146
Which of the following dates is impossible?
Answer:
29th February 1800
1800 is a century year. According to leap year rules, century years must be divisible by 400 to be leap years. Since 1800 is not divisible by 400, it is an ordinary year with only 28 days in February.
147
If 1st May of a year is Tuesday, what day is 1st June of the same year?
Answer:
Friday
May has 31 days. The number of odd days in May is 31 mod 7 = 3. Moving from 1st May to 1st June adds these 3 odd days to the current day. Tuesday + 3 days = Friday.
148
In a leap year, if January has 5 Sundays, what is the maximum number of Sundays February can have?
Answer:
4
In a leap year, February has 29 days (4 weeks and 1 day). If February 1st is a Sunday, it will have 5 Sundays. If January has 5 Sundays, it must end by Tuesday. So Feb 1 could be Wed, Thu, Fri. It cannot be Sunday. So max is 4. Let's re-read carefully. Can Feb have 5 Sundays? Yes, if Feb 1st is Sunday. But if Jan has 5 Sundays, Jan 1 is Sun, Mon or Tue. So Jan 31 is Tue, Wed or Thu. Feb 1 is Wed, Thu, Fri. Thus Feb CANNOT start on Sunday. Therefore, Feb must have exactly 4 Sundays. Let me fix the correct option to B.
149
If a month has 28 days and starts on a Monday, how many Mondays does it have?
Answer:
4
A 28-day month consists of exactly 4 full weeks (28 / 7 = 4). Because there are no remainder days, every single day of the week from Monday to Sunday appears exactly 4 times in that month.
150
What is the day of the week on 1st January 1 A.D.?
Answer:
Monday
By definition in the Gregorian calendar system, 1st January 1 A.D. is designated as a Monday. All odd day calculations historically use this as the absolute foundational starting point.