Which Day Will Be ? / āĻā§āϞā§āĻŖā§āĻĄāĻžā§° āĻā§ā§°āĻŋāĻ â āĻā§āύ āĻĻāĻŋāύ āĻš'āĻŦ ?
Main Rule / āĻŽā§āϞ āύāĻŋāϝāĻŧāĻŽ
Day after N days = Remainder when N is divided by 7 {N āĻĻāĻŋāύ āĻĒāĻŋāĻā§° āĻĻāĻŋāύ = N ÷ 7 ā§° remainder (R)}
Formula / āϏā§āϤā§ā§°: Required Day = Given Day + (N mod 7) (āĻĒā§ā§°āϝāĻŧā§āĻāύā§āϝāĻŧ āĻĻāĻŋāύ = āĻĻāĻŋāϝāĻŧāĻž āĻĻāĻŋāύ + (N ÷ 7 ā§° remainder)
Note: N mod 7 = Remainder when N is divided by 7. (N mod 7 = NāĻ 7ā§°ā§ āĻāĻžāĻ āĻā§°āĻŋāϞ⧠āϝāĻŋ remainder (āĻāĻžāĻāĻļā§āώ) āĻĒā§ā§ąāĻž āϝāĻžāϝāĻŧāĨ¤)
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Ex 1. Today = Sunday / āĻāĻāĻŋ = Sunday, After 10 days = ? / 10 āĻĻāĻŋāύ āĻĒāĻŋāĻāϤ = ?
Soln
10 ÷ 7 = 1 remainder 3
R = 3
Count 3 days from Sunday / Sundayā§° āĻĒā§°āĻž 3 āĻĻāĻŋāύ āĻāĻŖāύāĻž āĻā§°āĻ:
1 → Monday, 2 → Tuesday, 3 → Wednesday
Ans / āĻāϤā§āϤ⧰: Wednesday
Ex 2. Today = Sunday / āĻāĻāĻŋ = Sunday After 100 days = ? / 100 āĻĻāĻŋāύ āĻĒāĻŋāĻāϤ = ?
Soln
100 ÷ 7 = 14 remainder 2
R = 2
Count 2 days from Sunday / Sundayā§° āĻĒā§°āĻž 2 āĻĻāĻŋāύ āĻāĻŖāύāĻž āĻā§°āĻ: 1 → Monday, 2 → Tuesday
Ans / āĻāϤā§āϤ⧰: Tuesday
Ex 3 : Today = Sunday / āĻāĻāĻŋ = Sunday After 1000 days = ? / 1000 āĻĻāĻŋāύ āĻĒāĻŋāĻāϤ = ?
Soln
1000 ÷ 7 = 142 remainder 6
R = 6
Count 6 days from Sunday / Sundayā§° āĻĒā§°āĻž 6 āĻĻāĻŋāύ āĻāĻŖāύāĻž : Saturday
Ans / āĻāϤā§āϤ⧰: Saturday
Memory Tip / āĻŽāύāϤ ā§°āĻāĻžā§° āĻāĻĒāĻžāϝāĻŧ: Week = 7 Days / ā§§ āϏāĻĒā§āϤāĻžāĻš = ā§ āĻĻāĻŋāύ
Just divide by 7 and use the remainder. (āĻā§ā§ąāϞ 7ā§°ā§ āĻāĻžāĻ āĻā§°āĻ āĻā§°ā§ remainder (R) āĻŦā§āĻ¯ā§ąāĻšāĻžā§° āĻā§°āĻāĨ¤)
i. 10 → R=3 → Wednesday, ii. 100 → R=2 → Tuesday, iii. 1000 → R=6 → Saturday