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
131
If yesterday was Tuesday, what day will it be the 10th day from today?
Answer:
Saturday
If yesterday was Tuesday, today is unequivocally Wednesday. Counting 10 days forward from today means finding 10 mod 7, which leaves 3 odd days. Adding 3 days to Wednesday gives Saturday.
132
If a year starts on a Thursday and it is a leap year, how many Thursdays will be there in that year?
Answer:
53
A leap year has 366 days, which is 52 complete weeks plus 2 extra odd days. This means the first two days of the year (Jan 1 and Jan 2) will occur 53 times. Since it starts on a Thursday, both Thursday and Friday will occur exactly 53 times.
133
What is the day of the week on 1st January 2001?
Answer:
Monday
The year 2000 was a century leap year, marking the end of a 400-year cycle which has exactly 0 odd days. Therefore, the very first day of the new cycle, January 1, 2001, naturally falls on a Monday.
134
Today is Friday. What day of the week will it be after 300 days?
Answer:
Thursday
To find the day, we need the odd days. Divide 300 by 7, which gives 42 weeks and a remainder of 6. Add these 6 odd days to the current day (Friday). Friday + 6 days brings us precisely to Thursday.
135
If 1st February 1920 was Thursday, what was the day on 5th March 1920?
Answer:
Tuesday
1920 is a leap year, so February has 29 days. Days remaining in Feb = 29 - 1 = 28. Days in March = 5. Total = 33 days. 33 mod 7 = 5 odd days. Thursday + 5 days = Tuesday. Wait, Thursday + 5 is Tuesday. Let me check the options. If the answer is Tuesday, I'll update it.
136
If 1st January 1996 was Monday, what was the day on 1st January 1997?
Answer:
Wednesday
1996 is a leap year, containing 366 days and exactly 2 odd days. Moving one full calendar year forward past February 29th adds these 2 odd days to the weekday. Monday + 2 days = Wednesday.
137
What is the day of the week on 31st October 1984?
Answer:
Wednesday
Odd days up to 1983 = 1600(0) + 300(1) + 83(20 LY + 63 NY) = 1 + 40 + 63 = 104 = 6 odd days. 1984 is leap. Jan to Oct = 3(J) + 1(F) + 3(M) + 2(A) + 3(M) + 2(J) + 3(J) + 3(A) + 2(S) + 31(O=3) = 25 odd days = 4 odd days. Total = 6 + 4 = 10 = 3 odd days. Day 3 is Wednesday.
138
Which among the following is a leap year?
Answer:
2004
A standard leap year must be evenly divisible by 4. Looking at the options, 2004 is the only number perfectly divisible by 4, making it the only valid leap year listed.
139
If the first day of a month is a Tuesday and the month has 31 days, how many Tuesdays will the month have?
Answer:
5
A 31-day month comprises 4 complete weeks (28 days) and 3 extra days. This means the 1st, 2nd, and 3rd days of the month will occur 5 times. Since the 1st is Tuesday, there will be exactly 5 Tuesdays.
140
Find the odd days in 65 days.
Answer:
2
Odd days are simply the remainder after dividing the total number of days by 7. Dividing 65 by 7 yields 9 full weeks (63 days) with a remainder of 2. Thus, there are 2 odd days.