CSEET logical reasoning - Calendar

The Calendar topic in Logical Reasoning is all about the concept of Odd Days and the repetition of the 7-day week cycle.

Here are 15 multiple-choice questions (MCQs) on Calendars for your CSEET preparation, along with answers and detailed explanations.

CSEET Calendar Logical Reasoning MCQs

Type 1: Day-to-Day/Year-to-Year Change

Q No.	Question	Options	Answer
Q1	If January 1, 2023, was a Sunday, what day of the week was January 1, 2024?	(A) Monday (B) Sunday (C) Tuesday (D) Friday	A
Q2	If April 5, 2011, was a Tuesday, what day was April 5, 2012?	(A) Wednesday (B) Thursday (C) Friday (D) Monday	B
Q3	If today is Thursday, what day of the week will it be after 75 days?	(A) Friday (B) Saturday (C) Sunday (D) Tuesday	D
Q4	If October 10, 2005, was a Monday, what was the day on October 10, 2004?	(A) Sunday (B) Saturday (C) Tuesday (D) Friday	B
Q5	The year 2024 is a leap year. If January 1, 2024, was a Monday, what was the day on January 1, 2025?	(A) Tuesday (B) Wednesday (C) Thursday (D) Sunday	B

Explanations for Type 1

A1: Year 2023 is an Ordinary Year (365 days) which has 1 odd day (365/7, Remainder=1). The day advances by 1. Sunday + 1 = Monday.

A2: Year 2012 is a Leap Year (366 days), which has 2 odd days. When moving from an Ordinary Year to a Leap Year, and February 29 is crossed (April 5, 2011 to April 5, 2012), the day advances by 2. Tuesday + 2 = Thursday.

A3: Thursday + 5 days: F, S, Su, M, Tu, W. Wait, Thursday + 5 is Tuesday. 75/7=5 odd days. T + 5: F, S, Su, M, Tu. Answer is Tuesday, not Saturday. Let me check the provided answer. 75/7=10 rem 5. Thursday +5 days is Tuesday.

A4: Year 2004 is a Leap Year. When moving backward from 2005 to 2004, the date October 10 crosses February 29 of 2004. So, we subtract 2 days. Monday - 2 days = Saturday.

A5: Year 2024 is a Leap Year (2 odd days). Since we are moving from Jan 1, 2024, to Jan 1, 2025, we cross February 29, 2024. The day advances by 2 days. Monday + 2 = Wednesday.

Type 2: Finding Day of the Week within the Same Year

Q No.	Question	Options	Answer
Q6	If January 12th is a Monday, what day is January 30th of the same year?	(A) Wednesday (B) Friday (C) Saturday (D) Tuesday	B
Q7	If March 10, 2023, was a Friday, what day was May 20, 2023?	(A) Saturday (B) Sunday (C) Monday (D) Tuesday	A
Q8	If the third day of a month is a Tuesday, which of the following will be the 25th day of that month?	(A) Thursday (B) Sunday (C) Wednesday (D) Saturday	C
Q9	How many odd days are there from July 1st to September 30th of a normal year?	(A) 3 (B) 4 (C) 5 (D) 6	D
Q10	Which two months in an ordinary year always have the same calendar (start on the same day)?	(A) January and April (B) April and July (C) February and March (D) September and December	B

Explanations for Type 2

A6: Number of days between Jan 12 and Jan 30 is 30−12=18 days. Odd days in 18=718​=2 weeks and 4 odd days. Monday + 4 days = Friday.

A7: We calculate the odd days between the dates:

March: 31−10=21 days (0 odd days)

April: 30 days (2 odd days)

May: 20 days (20/7 = 6 odd days)

Total odd days = 0+2+6=8. 8/7=1 odd day. Friday + 1 day = Saturday.

A8: If 3rd is Tuesday, the next Tuesday is on 3+7=10, then 10+7=17, then 17+7=24. So, the 24th is a Tuesday. Therefore, the 25th is a Wednesday.

A9:

July: 31 days (3 odd days)

August: 31 days (3 odd days)

September: 30 days (2 odd days)

Total odd days = 3+3+2=8. 8/7=1 odd day.

A10: Same calendar means 0 odd days between the start of the first month and the start of the second month.

Apr to July: April (30 days → 2 OD) + May (31 days → 3 OD) + June (30 days → 2 OD) = 2+3+2=7 odd days. 77​=0 odd days.

Type 3: Century and Day of the Week Calculations

Q No.	Question	Options	Answer
Q11	How many odd days are there in 300 years?	(A) 0 (B) 1 (C) 2 (D) 3	B
Q12	Which of the following is NOT a leap year?	(A) 1600 (B) 1900 (C) 2000 (D) 2400	B
Q13	The last day of a century cannot be which of the following days?	(A) Wednesday (B) Sunday (C) Saturday (D) Monday	C
Q14	If a calendar year is the same as the year 2007, what is the next year that will have the exact same calendar?	(A) 2011 (B) 2013 (C) 2018 (D) 2019	C
Q15	What was the day of the week on March 2, 2005, if January 1, 2005, was a Saturday?	(A) Tuesday (B) Wednesday (C) Thursday (D) Friday	B

Explanations for Type 3

A11: Odd days in centuries: 100 years = 5 odd days. 200 years = 10→3 odd days. 300 years = 15→1 odd day. 400 years = 20+1→0 odd days.

A12: A year is a leap year if divisible by 4. A century year (ending in '00') is a leap year only if it is divisible by 400. 1900 is not divisible by 400.

A13: The number of odd days for 100, 200, 300, and 400 years are 5, 3, 1, and 0, which correspond to Friday, Wednesday, Monday, and Sunday. Thus, a century can only end on these four days. It can NOT end on Tuesday (2), Thursday (4), or Saturday (6).

A14: The calendar of a normal year repeats after a total of 6 or 11 odd days have accumulated.

2007 (1 OD)

2008 (2 OD - Leap Year)

2009 (1 OD)

2010 (1 OD)

2011 (1 OD)

2012 (2 OD - Leap Year)

2013 (1 OD)

Sum of OD till 2012 (6 years) = 1+2+1+1+1+2=8→1 OD.

Sum of OD till 2017 (10 years) = 1+2+1+1+1+2+1+1+1+2=13→6 OD.

Sum of OD till 2018 (11 years) = 13+1=14→0 odd days. The calendar repeats in 2018 (after 6+5=11years).

A15: We calculate the odd days from Jan 1 to Mar 2, 2005:

January: 31 days (3 odd days)

February: 28 days (0 odd days) (2005 is ordinary)

March: 2 days (2 odd days)

Total odd days = 3+0+2=5 odd days.

Saturday + 5 days = Sunday, Monday, Tuesday, Wednesday, Thursday.

The day is Wednesday.