Which of the following are not equivalent in modulo 7? O 37 O 16 O -5 O 24

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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## Question:
Which of the following are not equivalent in modulo 7?

- ○ 37
- ○ 16
- ○ -5
- ○ 24

### Explanation:
To determine which numbers are not equivalent in modulo 7, we need to find their remainders when divided by 7. 

- **37 mod 7**: Result is 2, since 37 ÷ 7 = 5 R 2.
- **16 mod 7**: Result is 2, since 16 ÷ 7 = 2 R 2.
- **-5 mod 7**: Result is 2, as -5 + 7 = 2.
- **24 mod 7**: Result is 3, since 24 ÷ 7 = 3 R 3.

Thus, option 24 is not equivalent to the others in modulo 7.
Transcribed Image Text:## Question: Which of the following are not equivalent in modulo 7? - ○ 37 - ○ 16 - ○ -5 - ○ 24 ### Explanation: To determine which numbers are not equivalent in modulo 7, we need to find their remainders when divided by 7. - **37 mod 7**: Result is 2, since 37 ÷ 7 = 5 R 2. - **16 mod 7**: Result is 2, since 16 ÷ 7 = 2 R 2. - **-5 mod 7**: Result is 2, as -5 + 7 = 2. - **24 mod 7**: Result is 3, since 24 ÷ 7 = 3 R 3. Thus, option 24 is not equivalent to the others in modulo 7.
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