Which Day Will Be ? / āϕ⧇āϞ⧇āĻŖā§āĻĄāĻžā§° āĻŸā§ā§°āĻŋāĻ• – āϕ⧋āύ āĻĻāĻŋāύ āĻš'āĻŦ ?


Main Rule / āĻŽā§‚āϞ āύāĻŋāϝāĻŧāĻŽ


Day after N days = Remainder when N is divided by 7 {N āĻĻāĻŋāύ āĻĒāĻŋāϛ⧰ āĻĻāĻŋāύ = N ÷ 7 ā§° remainder (R)}


Formula / āϏ⧂āĻ¤ā§ā§°: Required Day = Given Day + (N mod 7) (āĻĒā§ā§°āϝāĻŧā§‹āϜāύ⧀āϝāĻŧ āĻĻāĻŋāύ = āĻĻāĻŋāϝāĻŧāĻž āĻĻāĻŋāύ + (N ÷ 7 ā§° remainder)


Note: N mod 7 = Remainder when N is divided by 7. (N mod 7 = NāĻ• 7⧰⧇ āĻ­āĻžāĻ— āϕ⧰āĻŋāϞ⧇ āϝāĻŋ remainder (āĻ­āĻžāĻ—āĻļ⧇āώ) āĻĒā§‹ā§ąāĻž āϝāĻžāϝāĻŧāĨ¤)


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Ex 1. Today = Sunday / āφāϜāĻŋ = Sunday, After 10 days = ? / 10 āĻĻāĻŋāύ āĻĒāĻŋāĻ›āϤ = ?


Soln


10 ÷ 7 = 1 remainder 3


R = 3


Count 3 days from Sunday / Sundayā§° āĻĒā§°āĻž 3 āĻĻāĻŋāύ āĻ—āĻŖāύāĻž āϕ⧰āĻ•:


1 → Monday, 2 → Tuesday, 3 → Wednesday


Ans / āωāĻ¤ā§āϤ⧰: Wednesday


Ex 2. Today = Sunday / āφāϜāĻŋ = Sunday After 100 days = ? / 100 āĻĻāĻŋāύ āĻĒāĻŋāĻ›āϤ = ?


Soln


100 ÷ 7 = 14 remainder 2


R = 2


Count 2 days from Sunday / Sundayā§° āĻĒā§°āĻž 2 āĻĻāĻŋāύ āĻ—āĻŖāύāĻž āϕ⧰āĻ•:                 1 → Monday, 2 → Tuesday


Ans / āωāĻ¤ā§āϤ⧰: Tuesday


Ex 3 : Today = Sunday / āφāϜāĻŋ = Sunday After 1000 days = ? / 1000 āĻĻāĻŋāύ āĻĒāĻŋāĻ›āϤ = ?


Soln


1000 ÷ 7 = 142 remainder 6


R = 6


Count 6 days from Sunday / Sundayā§° āĻĒā§°āĻž 6 āĻĻāĻŋāύ āĻ—āĻŖāύāĻž : Saturday


Ans / āωāĻ¤ā§āϤ⧰: Saturday


Memory Tip / āĻŽāύāϤ ā§°āĻ–āĻžā§° āωāĻĒāĻžāϝāĻŧ: Week = 7 Days / ā§§ āϏāĻĒā§āϤāĻžāĻš = ā§­ āĻĻāĻŋāύ


Just divide by 7 and use the remainder. (āĻ•ā§‡ā§ąāϞ 7⧰⧇ āĻ­āĻžāĻ— āϕ⧰āĻ• āφ⧰⧁ remainder (R) āĻŦā§āĻ¯ā§ąāĻšāĻžā§° āϕ⧰āĻ•āĨ¤)


i. 10 → R=3 → Wednesday, ii. 100 → R=2 → Tuesday, iii. 1000 → R=6 → Saturday