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Unit Digit

Unit Digit - Important Points

11. What is the last digit of the number 9^18?

A. 1

B. 3

C. 7

D. 9

Discuss Work Space

Answer: option a

Explanation:

The unit digit of 9^n repeats in a cycle of 9, 1, 9, 1, ... Since 18 is even, the unit digit of 9^18 is the second element in the cycle, which is 1.
12. What is the unit digit of 2^20?

A. 2

B. 4

C. 6

D. 8

Discuss Work Space

Answer: option c

Explanation:

The unit digit of 2^n repeats in a cycle of 2, 4, 8, 6, 2, 4, 8, 6, ... Since 20 is multiple of 4, the unit digit is 6.
13. What is the unit digit of 8^15?

A. 4

B. 6

C. 2

D. 8

Discuss Work Space

Answer: option c

Explanation:

The unit digit of 8^n repeats in a cycle of 8, 4, 2, 6, 8, 4, 2, 6, ... Since 15 is (4 x 3) + 3, the unit digit of 8^15 is the third element in the cycle, which is 2.
14. Find the unit digit of 7^10 + 8^12 + 9^13.

A. 2

B. 4

C. 6

D. 8

Discuss Work Space

Answer: option a

Explanation:

The unit digit of 7^n repeats in a cycle of 7, 9, 3, 1, 7, 9, 3, 1, ... The unit digit of 8^n repeats in a cycle of 8, 4, 2, 6, 8, 4, 2, 6, ... The unit digit of 9^n repeats in a cycle of 9, 1, 9, 1, ... The sum of these unit digits is 9 + 6 + 9 = 24, and the unit digit of 24 is 4.
15. What is the last digit of the number 2^17?

A. 1

B. 2

C. 3

D. 4

Discuss Work Space

Answer: option b

Explanation:

The unit digit of 2^n repeats in a cycle of 2, 4, 8, 6, 2, 4, 8, 6, ... Since 17 is odd, the unit digit of 2^17 is the first element in the cycle, which is 2.

Unit Digit Questions and Answers FAQ

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