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
201
The calendar for the year 2005 is the same as for the year:
Answer:
2011
2005 is a year immediately following a leap year (2004). The calendar for a year that comes right after a leap year repeats after 6 years. Therefore, 2005 + 6 = 2011.
202
If today is Monday, what day of the week will it be after 61 days?
Answer:
Saturday
Every 7 days, the day of the week repeats. Dividing 61 by 7 gives a remainder of 5 (since 56 is exactly divisible by 7). Counting 5 days forward from Monday brings us to Saturday.
203
What was the day of the week on 26th January 1950?
Answer:
Thursday
1949 years = 1600 + 300 + 49. Odd days = 0 + 1 + (12 × 2 + 37 × 1) = 1 + 61 = 62 = 6 odd days. Days in 1950 up to Jan 26 = 26 = 5 odd days. Total odd days = 6 + 5 = 11. 11 mod 7 = 4 odd days. Day 4 is Thursday.
204
What was the day of the week on 15th August 1947?
Answer:
Friday
1946 years = 1600 (0 odd days) + 300 (1 odd day) + 46 (11 leap + 35 ordinary = 57 odd days = 1 odd day). Total odd days till 1946 = 2. Odd days from Jan 1 to Aug 15, 1947 = 227 days = 3 odd days. Total = 2 + 3 = 5 odd days. Day 5 is Friday.
205
How many odd days are there in 300 years?
Answer:
1
100 years have 5 odd days. Thus, 300 years will have 5 × 3 = 15 odd days. Dividing 15 by 7 gives 2 weeks with a remainder of 1 day. So, 300 years contain 1 odd day.
206
How many odd days are there in 200 years?
Answer:
3
Since 100 years have 5 odd days, 200 years will have 5 × 2 = 10 odd days. Dividing 10 by 7 leaves a remainder of 3. Therefore, 200 years contain 3 odd days.
207
How many odd days are there in 100 years?
Answer:
5
100 years contain 24 leap years and 76 ordinary years. Total odd days = (24 × 2) + (76 × 1) = 48 + 76 = 124 days. Dividing 124 by 7 gives 17 weeks and a remainder of 5. So, there are 5 odd days in 100 years.
208
Which of the following is not a leap year?
Answer:
1800
For century years (years ending with 00) to be leap years, they must be perfectly divisible by 400. While 1200, 1600, and 2000 are all divisible by 400, 1800 is not. Thus, 1800 is not a leap year.
209
Which of the following is a leap year?
Answer:
1996
A year is a leap year if it is divisible by 4. However, century years (ending in 00) must be divisible by 400 to be leap years. 1900, 2100, and 2200 are not divisible by 400, so they are not leap years. 1998 is not divisible by 4. Wait, 1998 is not a leap year (1998/4 = 499.5). Let's provide a correct option. 1996 is a leap year.
210
How many odd days are there in a leap year?
Answer:
2
A leap year has 366 days. Dividing 366 by 7 gives 52 weeks with a remainder of 2 days. These 2 remainder days are the odd days in a leap year.