Calendar with Examples
Q1. 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˛?
Soln : 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§°
Q2. 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§?
Soln : 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