Unit Digit Questions and Answers with Cyclicity Method Solutions

Unit Digit questions represent a specialized area of numerical reasoning that frequently appears in competitive examinations, testing candidates' understanding of number patterns and cyclicity concepts. These questions are commonly featured...

What is the unit digit of 2¹⁰⁰ + 3¹⁰⁰ + 4¹⁰⁰ + 5¹⁰⁰?

Find the unit digit of (23⁴⁵)⁶⁷?

What is the unit digit of 3⁴⁷?

Find the unit digit of 7¹²³ × 8⁴⁵⁶?

What is the unit digit of 17¹⁹ × 23²¹ × 29²³?

Find the unit digit of 6^6⁶?

What is the unit digit of 2^{2^2²}?

Find the unit digit of 99⁹⁹?

What is the unit digit of 1! + 2! + 3! + ... + 100!?

10.

Find the unit digit of 3^4⁵?

11.

What is the unit digit of (777)⁹⁹⁹?

12.

Find the unit digit of 8^8⁸?

13.

What is the unit digit of 2⁵⁰ - 2⁴⁹?

14.

Find the unit digit of 13^13¹³?

15.

What is the unit digit of 4^{3^2¹}?

16.

Find the unit digit of the sum 1¹ + 2² + 3³ + ... + 9⁹?

17.

What is the unit digit of 19¹⁹ + 20²⁰ + 21²¹?

18.

Find the unit digit of (12345)⁵⁴³²¹?

19.

What is the unit digit of 7^{7^7⁷}?

20.

Find the unit digit of 2¹⁰⁰⁰ + 3¹⁰⁰⁰ - 4¹⁰⁰⁰?

21.

What is the unit digit of 15¹⁶ × 25¹⁷ × 35¹⁸?

22.

Find the unit digit of 11^11¹¹?

23.

What is the unit digit of 3²⁰¹⁷ + 7²⁰¹⁸ + 9²⁰¹⁹?

24.

Find the unit digit of (17²³)²⁹ × (23²⁹)¹⁷?

25.

What is the unit digit of 2^2¹⁰⁰?

26.

Find the unit digit of 888⁹⁹⁹ + 999⁸⁸⁸?

27.

What is the unit digit of 5^{5^5⁵}?

28.

Find the unit digit of 123⁴⁵⁶ × 789¹⁰¹¹¹²?