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Unit and Last Digits

7 lessons · 5 questions · 2 PYQs

What the exams ask here

  • unit digit of 743^85 - 525^37 + 987^96 (Indore 2021 Q16)
  • unit digit of p^3 is 4 -> unit digit of (p+3)^3 (Indore 2023 Q39)
  • last two digits of 3^400, 7^2024
  • unit digit of 1! + 2! + ... + 1000!, (1!)^99 + (2!)^98 + ...
  • unit digit of 2^(3^4) type towers

Lessons

  1. Start hereThe idea and the methodFirst lesson of Unit and Last Digits5 min video
  2. 1.Cyclicity 4New numbers every time (templates)
  3. 2.Unit Digit of Sums and Products1 questionIndore 20214 min video
  4. 3.Last two digits2 questions + fresh variants
  5. 4.Factorial unit digitNotes only
  6. 5.Reverse the Unit Digit: Cubes1 question + fresh variantsIndore 20234 min video
  7. 6.Unit Digit of Power Towers1 question4 min video