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Unit Digit

Unit Digit - Important Points


1. What is the unit digit of the number 5^17?

A. 5

B. 2

C. 8

D. 7

Discuss Work Space

Answer: option a

Explanation:

The unit digit of 5^n repeats in a cycle of 1, 5, 5, 5, .... So, 5 is the answer.

2. Which of the following numbers is divisible by 9?

A. 108

B. 237

C. 405

D. 551

Discuss Work Space

Answer: option c

Explanation:

A number is divisible by 9 if the sum of its digits is divisible by 9. In option C, 4 + 0 + 5 = 9, which is divisible by 9.

3. What is the unit digit of the product 7 * 8 * 9 * 6 * 5 * 4 * 3 * 2 * 1?

A. 0

B. 1

C. 5

D. 9

Discuss Work Space

Answer: option a

Explanation:

The unit digit of the product is equal to the unit digit of the product of the unit digits of the individual numbers. As this has 2 and 5, the answer is 0.

4. Find the unit digit of the square of (49)^2.

A. 1

B. 4

C. 6

D. 9

Discuss Work Space

Answer: option a

Explanation:

Unit digit of square of a number ending with 9 can be – 9 or 1. So, unit digit of (49)^4 will be 1.

5. What is the last digit of the number 2^10 + 3^10 + 4^10 + 5^10?

A. 3

B. 4

C. 5

D. 9

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, ... The unit digit of 3^n repeats in a cycle of 3, 9, 7, 1, 3, 9, 7, 1, ... The unit digit of 4^n repeats in a cycle of 4, 6, 4, 6, ... The unit digit of 5^n repeats in a cycle of 5. The sum of these unit digits is 4 + 9 + 6 + 5 = 23, and the unit digit of 24 is 4.


Unit Digit Questions and Answers FAQ

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