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
151
A century year is a leap year only if it is divisible by:
Answer:
400
The Gregorian calendar dictates that a year ending in '00' is only considered a leap year if it is perfectly divisible by 400. This corrects the slight overestimation caused by adding a leap day every 4 years.
152
If the first day of an ordinary year is Friday, the last day is:
Answer:
Friday
An ordinary year comprises 52 full weeks and 1 extra day. Because of this structural alignment, the first day of the year (January 1st) and the last day of the year (December 31st) are always exactly the same day of the week.
153
The calendar of 1971 used exactly again in which year?
Answer:
1982
1971 is a (Leap Year + 3) since 1968 was a leap year. Years formatted as LY+3 typically repeat after 11 years. Thus, 1971 + 11 = 1982.
154
If 10th April falls 2 days before Friday, what day will be the 25th of that month?
Answer:
Thursday
Two days before Friday is Wednesday, meaning the 10th is Wednesday. The difference is 25 - 10 = 15 days. Since 15 is a multiple of 7 plus 1 (14 + 1), we add 1 odd day. Wednesday + 1 day = Thursday.
155
How many odd days are there in a span of 10 years, assuming the first year is a leap year?
Answer:
6
A span of 10 years starting with a leap year contains 3 leap years (e.g., Year 1, Year 5, Year 9) and 7 ordinary years. Total odd days = (3 × 2) + (7 × 1) = 6 + 7 = 13. Dividing 13 by 7 leaves exactly 6 odd days. Wait, if it's 10 years: e.g. 2000(LY), 01, 02, 03, 04(LY), 05, 06, 07, 08(LY), 09. Total 10 years. 3 LY + 7 NY = 6 + 7 = 13 days -> 6 odd days. Option C is 5, Option D is 6. I'll correct the option to D.
156
If today is Friday, what day of the week will it be after 365 days?
Answer:
Saturday
365 days is exactly 52 weeks and 1 odd day. Since the remainder is 1, the day shifts forward by a single day. Friday + 1 day = Saturday.
157
Which of the following months always start on the same day of the week in any leap year?
Answer:
January and July
In a leap year, the cumulative odd days from January 1 to July 1 equals exactly 0 mod 7 (Jan: 3, Feb: 1, Mar: 3, Apr: 2, May: 3, Jun: 2 -> Total = 14). Thus, January and July start on the same day.
158
Find the day of the week on 25th December 1995.
Answer:
Monday
1900 has 1 odd day. Next 94 years = 23 LY + 71 NY = 46 + 71 = 117 days = 5 odd days. Total to 1994 = 6 odd days. Days in 1995 to Dec 25: Jan(3) + Feb(0) + Mar(3) + Apr(2) + May(3) + Jun(2) + Jul(3) + Aug(3) + Sep(2) + Oct(3) + Nov(2) + Dec(25=4) = 30 = 2 odd days. Total odd days = 6 + 2 = 8 = 1. Day 1 is Monday.
159
If 12th March 2005 was a Saturday, what day was 12th March 2004?
Answer:
Thursday
2004 was a leap year, meaning it contained an extra day (Feb 29). Moving backward from March 2005 to March 2004 crosses this leap day. Therefore, we subtract 2 odd days instead of 1. Saturday - 2 days = Thursday.
160
Which of these years will have the same calendar as the year 1995?
Answer:
2006
1995 is a year of the format (Leap Year + 3) since 1992 was a leap year. Calendars for LY+3 naturally repeat after 11 years. Therefore, 1995 + 11 = 2006.