Calendar with Examples
Q. 36 days after today will be Sunday. What day is today ? ā§Šā§Ŧ āĻĻāĻŋāĻ¨ āĻĒāĻŋāĻāĻ¤ āĻĻā§āĻāĻŦāĻžā§° āĻš’āĻŦāĨ¤ āĻāĻāĻŋ āĻāĻŋ āĻŦāĻžā§° ?
Options / āĻŦāĻŋāĻāĻ˛ā§āĻĒ: A) Friday / āĻļā§āĻā§ā§°āĻŦāĻžā§° B) Monday / āĻ¸ā§āĻŽāĻŦāĻžā§° C) Sunday / āĻĻā§āĻāĻŦāĻžā§° D) Saturday / āĻļāĻ¨āĻŋāĻŦāĻžā§°
Solution / āĻ¸āĻŽāĻžāĻ§āĻžāĻ¨
1st: Divide 36 by 7 (A week has 7 days.)
36 ÷ 7 = 5 weeks + 1 day (āĻ ā§°ā§āĻĨāĻžā§, ā§Šā§Ŧ āĻĻāĻŋāĻ¨ = ā§Ģ āĻ¸āĻĒā§āĻ¤āĻžāĻš + ā§§ āĻĻāĻŋāĻ¨āĨ¤)
2nd: Ignore the complete weeks
ā§Ģ āĻ¸āĻĒā§āĻ¤āĻžāĻšā§° āĻĒāĻŋāĻāĻ¤ āĻŦāĻžā§°ā§° āĻā§āĻ¨ā§ āĻĒā§°āĻŋā§ąā§°ā§āĻ¤āĻ¨ āĻ¨āĻšāĻ¯āĻŧ, āĻāĻžā§°āĻŖ ā§ āĻĻāĻŋāĻ¨ā§° āĻĒāĻŋāĻāĻ¤ āĻāĻā§āĻāĻž āĻŦāĻžā§°ā§āĻ āĻĒā§āĻ¨ā§° āĻāĻšā§āĨ¤
āĻ¸ā§āĻ¯āĻŧā§ āĻā§ā§ąāĻ˛ ā§§ āĻĻāĻŋāĻ¨ āĻāĻāĻ˛ā§ āĻ¯āĻžāĻŦ āĻ˛āĻžāĻāĻŋāĻŦāĨ¤
3rd: 36 days later = Sunday
āĻ¯āĻĻāĻŋ ā§Šā§Ŧ āĻĻāĻŋāĻ¨ āĻĒāĻŋāĻāĻ¤ Sunday (āĻĻā§āĻāĻŦāĻžā§°) āĻšāĻ¯āĻŧ, āĻ¤ā§āĻ¨ā§āĻ¤ā§ āĻ¤āĻžā§° ā§§ āĻĻāĻŋāĻ¨ āĻāĻā§° āĻŦāĻžā§° āĻš’āĻŦ: Sunday → Saturday, āĻ¸ā§āĻ¯āĻŧā§ āĻāĻāĻŋ Saturday (āĻļāĻ¨āĻŋāĻŦāĻžā§°)āĨ¤
Ans: D) Saturday / āĻļāĻ¨āĻŋāĻŦāĻžā§°
Trick: 36 ÷ 7 → remainder 1, So, 36 days after today = 1 day after today. If that day is Sunday, today must be Saturday.
āĻāĻ¤ā§āĻ¤ā§°: āĻļāĻ¨āĻŋāĻŦāĻžā§° (Saturday)
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Q. If 15 March 2015 was Tuesday, what day was 8 August 2015 ? āĻĒā§ā§°āĻļā§āĻ¨ : āĻ¯āĻĻāĻŋ ā§§ā§Ģ āĻŽāĻžā§°ā§āĻ ā§¨ā§Ļā§§ā§Ģ āĻŽāĻāĻ˛āĻŦāĻžā§° āĻāĻāĻŋāĻ˛, āĻ¤ā§āĻ¨ā§āĻ¤ā§ ā§Ž āĻāĻāĻˇā§āĻ ā§¨ā§Ļā§§ā§Ģ āĻā§āĻ¨āĻĻāĻŋāĻ¨ āĻāĻāĻŋāĻ˛?
Solution / āĻ¸āĻŽāĻžāĻ§āĻžāĻ¨
- Given date: 15 March 2015 = Tuesday : āĻĻāĻŋāĻ¯āĻŧāĻž āĻāĻā§: ā§§ā§Ģ āĻŽāĻžā§°ā§āĻ ā§¨ā§Ļā§§ā§Ģ = āĻŽāĻāĻ˛āĻŦāĻžā§°
- Count days from 16 March to 8 August : ā§§ā§Ŧ āĻŽāĻžā§°ā§āĻā§° āĻĒā§°āĻž ā§Ž āĻāĻāĻˇā§āĻāĻ˛ā§ āĻĻāĻŋāĻ¨ āĻāĻŖāĻ¨āĻž āĻā§°ā§āĻ
Remaining days in March : āĻŽāĻžā§°ā§āĻ (āĻŦāĻžāĻāĻŋ āĻĻāĻŋāĻ¨)
- March has 31 days
- Remaining = 31 − 15 = 16 days = 16 ÷ 7 = 2 days : ā§Šā§§ − ā§§ā§Ģ = ā§§ā§Ŧ āĻĻāĻŋāĻ¨ → ā§¨āĻāĻž Odd Day
April : 30 days → 30 ÷ 7 = 4 weeks + 2 days : āĻāĻĒā§ā§°āĻŋāĻ˛ : ā§Šā§Ļ āĻĻāĻŋāĻ¨ → ā§¨āĻāĻž Odd Day
May : 31 days → 31 ÷ 7 = 4 weeks + 3 days : āĻŽā§’ : ā§Šā§§ āĻĻāĻŋāĻ¨ → ā§ŠāĻāĻž Odd Day
June : 30 days → 30 ÷ 7 = 4 weeks + 2 days : āĻā§āĻ¨ : ā§Šā§Ļ āĻĻāĻŋāĻ¨ → ā§¨āĻāĻž Odd Day
July : 31 days → 31 ÷ 7 = 4 weeks + 3 days : āĻā§āĻ˛āĻžāĻ : ā§Šā§§ āĻĻāĻŋāĻ¨ → ā§ŠāĻāĻž Odd Day
August : First 8 days → 8 ÷ 7 = 1 day : āĻāĻāĻˇā§āĻ : āĻĒā§ā§°āĻĨāĻŽ ā§Ž āĻĻāĻŋāĻ¨ → ā§§āĻāĻž Odd Day
Total extra days: 2 + 2 + 3 + 2 + 3 + 1 = 13 days : āĻŽā§āĻ Odd Day : 2 + 2 + 3 + 2 + 3 + 1 = 13 days
13 ÷ 7 = remainder 6 : 13 ÷ 7 = āĻŦāĻžāĻāĻŋ 6
- Tuesday + 6 days = Saturday :
- āĻŽāĻāĻ˛āĻŦāĻžā§° + ā§Ŧ āĻĻāĻŋāĻ¨ = āĻļāĻ¨āĻŋāĻŦāĻžā§°
Ans: 8 August 2015 was Saturday : ā§Ž āĻāĻāĻˇā§āĻ ā§¨ā§Ļā§§ā§Ģ = āĻļāĻ¨āĻŋāĻŦāĻžā§°
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Q. Ramesh is 178 days older than Mahesh. If Mahesh was born on Wednesday, on which day was Ramesh born ? āĻĒā§ā§°āĻļā§āĻ¨ : ā§°āĻŽā§āĻļ āĻŽāĻšā§āĻļāĻ¤āĻā§ ā§§ā§ā§Ž āĻĻāĻŋāĻ¨ āĻĄāĻžāĻā§°āĨ¤ āĻ¯āĻĻāĻŋ āĻŽāĻšā§āĻļ āĻŦā§āĻ§āĻŦāĻžā§°ā§ āĻāĻ¨ā§āĻŽ āĻšā§āĻā§, āĻ¤ā§āĻ¨ā§āĻ¤ā§ ā§°āĻŽā§āĻļ āĻā§āĻ¨ āĻĻāĻŋāĻ¨āĻ¤ āĻāĻ¨ā§āĻŽ āĻšā§āĻā§?
Solution / āĻ¸āĻŽāĻžāĻ§āĻžāĻ¨
- Difference in age = 178 days : āĻŦā§āĻ¸ā§° āĻĒāĻžā§°ā§āĻĨāĻā§āĻ¯ = ā§§ā§ā§Ž āĻĻāĻŋāĻ¨
- Convert into weeks: 178 ÷ 7 = 25 weeks + 3 days : ā§§ā§ā§Ž ÷ ā§ = ā§¨ā§Ģ āĻ¸āĻĒā§āĻ¤āĻžāĻš + ā§Š āĻĻāĻŋāĻ¨
- Extra days = 3 : āĻ āĻ¤āĻŋā§°āĻŋāĻā§āĻ¤ āĻĻāĻŋāĻ¨ = ā§Š
- Mahesh was born on Wednesday : āĻŽāĻšā§āĻļ āĻāĻ¨ā§āĻŽ āĻšā§āĻā§ āĻŦā§āĻ§āĻŦāĻžā§°ā§
- Ramesh is older, so his birthday is 3 days earlier : ā§°āĻŽā§āĻļ āĻĄāĻžāĻā§°, āĻ¸ā§āĻ¯āĻŧā§ ā§Š āĻĻāĻŋāĻ¨ āĻĒāĻŋāĻāĻ˛ā§ āĻāĻŖāĻ¨āĻž
Counting backward from Wednesday: āĻŦā§āĻ§āĻŦāĻžā§°ā§° āĻĒā§°āĻž āĻĒāĻŋāĻāĻ˛ā§:
- Wednesday → Tuesday (1) : āĻŦā§āĻ§ → āĻŽāĻāĻ˛ (ā§§)
- Tuesday → Monday (2) : āĻŽāĻāĻ˛ → āĻ¸ā§āĻŽ (ā§¨)
- Monday → Sunday (3) : āĻ¸ā§āĻŽ → āĻĻā§āĻāĻŦāĻžā§° (ā§Š)
Answer: Ramesh was born on Sunday. āĻāĻ¤ā§āĻ¤ā§°: ā§°āĻŽā§āĻļ āĻāĻ¨ā§āĻŽ āĻšā§āĻā§ āĻĻā§āĻāĻŦāĻžā§°ā§
Exam Tips
- Forward counting → future date : āĻāĻāĻ˛ā§ āĻāĻŖāĻ¨āĻž → āĻā§ąāĻŋāĻˇā§āĻ¯ā§ āĻ¤āĻžā§°āĻŋāĻ
- Backward counting → older person : āĻĒāĻŋāĻāĻ˛ā§ āĻāĻŖāĻ¨āĻž → āĻĄāĻžāĻā§° āĻŦā§āĻ¸
- Always divide by 7 and use remainder : āĻ¸āĻĻāĻžāĻ¯āĻŧ ā§ā§°ā§ āĻāĻžāĻ āĻā§°āĻŋ āĻŦāĻžāĻāĻŋ āĻŦā§āĻ¯ā§ąāĻšāĻžā§° āĻā§°āĻ
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Q. 14 July = Tuesday, then 24 October = ?
Options: A) Wednesday (ā¤ŦāĨā¤§ā¤ĩā¤žā¤°) B) Thursday (ā¤āĨā¤°āĨā¤ĩā¤žā¤°) C) Friday (ā¤ļāĨā¤āĨā¤°ā¤ĩā¤žā¤°) D) Saturday (ā¤ļā¤¨ā¤ŋā¤ĩā¤žā¤°)
Explanation: First, count the total number of days from 14 July to 24 October. In July, the remaining days are 31 − 14 = 17 days. Then, add the full months: August has 31 days and September has 30 days. Finally, include 24 days of October. So, the total number of days becomes 17 + 31 + 30 + 24 = 102 days.
Next, divide the total days by 7 to find the number of weeks: 102 ÷ 7 = 14 weeks and 4 days. The remainder is 4 days, which determines the shift in days of the week.
Now, starting from Tuesday, move forward 4 days: Wednesday (1), Thursday (2), Friday (3), Saturday (4).
Ans: Saturday
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Q. If 5th August is Friday, then what day will be on 30th August ? (āĻĒā§ā§°āĻļā§āĻ¨āĻ āĻ¯āĻĻāĻŋ ā§Ģ āĻāĻāĻˇā§āĻ āĻļā§āĻā§ā§°āĻŦāĻžā§° āĻšāĻ¯āĻŧ, āĻ¤ā§āĻ¨ā§āĻ¤ā§ ā§Šā§Ļ āĻāĻāĻˇā§āĻ āĻāĻŋ āĻŦāĻžā§° āĻš'āĻŦ ?)
Options / āĻŦāĻŋāĻāĻ˛ā§āĻĒāĻ¸āĻŽā§āĻš: A) Monday (āĻ¸ā§āĻŽāĻŦāĻžā§°) B) Tuesday (āĻŽāĻāĻ˛āĻŦāĻžā§°) C) Wednesday (āĻŦā§āĻ§āĻŦāĻžā§°) D) Thursday (āĻŦā§āĻšāĻ¸ā§āĻĒāĻ¤āĻŋāĻŦāĻžā§°)
Trick | āĻā§āĻļāĻ˛
- 30 − 5 = 25 days (ā§Šā§Ļ − ā§Ģ = ā§¨ā§Ģ āĻĻāĻŋāĻ¨)
- 25 ÷ 7 = 3 weeks + 4 days (ā§¨ā§Ģ ÷ ā§ = ā§Š āĻ¸āĻĒā§āĻ¤āĻžāĻš + ā§Ē āĻĻāĻŋāĻ¨)
- Friday + 4 days = Tuesday (āĻļā§āĻā§ā§°āĻŦāĻžā§° + ā§Ē āĻĻāĻŋāĻ¨ = āĻŽāĻāĻ˛āĻŦāĻžā§°)
Ans / āĻāĻ¤ā§āĻ¤ā§°: B) Tuesday (āĻŽāĻāĻ˛āĻŦāĻžā§°)
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