Let's solve the problem step-by-step by calculating the cubes of the given numbers and finding the digit at the ones place of each cube.
Here are the numbers provided:
1. 4725
2. 7683
3. 572
4. 629
5. 112171
### Step-by-Step Solution:
1. Find the cube of each number:
- The cube of 4725 is 105,488,578,125. The ones place digit of 105,488,578,125 is 5.
- The cube of 7683 is 453,515,880,987. The ones place digit of 453,515,880,987 is 7.
- The cube of 572 is 187,149,248. The ones place digit of 187,149,248 is 8.
- The cube of 629 is 248,858,189. The ones place digit of 248,858,189 is 9.
- The cube of 112171 is 1,411,372,901,976,211. The ones place digit of 1,411,372,901,976,211 is 1.
2. Match the calculated ones place digits with the given options:
- For 4725, the ones place digit is 5. (iii. 5)
- For 7683, the ones place digit is 7. (i. 7)
- For 572, the ones place digit is 8. (iv. 8)
- For 629, the ones place digit is 9. (v. 9)
- For 112171, the ones place digit is 1. (ii. 1)
### Matching the numbers with the correct ones place digits:
a. 4725 - iii. 5
b. 7683 - i. 7
c. 572 - iv. 8
d. 629 - v. 9
112171 - ii. 1
So, the correct matches are:
- a. 4725 matches with iii. 5
- b. 7683 matches with i. 7
- c. 572 matches with iv. 8
- d. 629 matches with v. 9
- 112171 matches with ii. 1
