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Select the number which is different fro...

Select the number which is different from the other numbers given below:
`157, 571, 599, 387 `

A

571

B

157

C

599

D

387

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem of identifying the number that is different from the others in the set {157, 571, 599, 387}, we will analyze each number to determine whether they are prime or composite. ### Step-by-Step Solution: 1. **Identify the Numbers**: We have the numbers 157, 571, 599, and 387. 2. **Check if Each Number is Prime or Composite**: - **157**: - Check divisibility by prime numbers up to √157 (which is approximately 12.5). - It is not divisible by 2, 3, 5, 7, or 11. - Therefore, **157 is a prime number**. - **571**: - Check divisibility by prime numbers up to √571 (which is approximately 23.9). - It is not divisible by 2, 3, 5, 7, 11, 13, 17, 19, or 23. - Therefore, **571 is a prime number**. - **599**: - Check divisibility by prime numbers up to √599 (which is approximately 24.5). - It is not divisible by 2, 3, 5, 7, 11, 13, 17, 19, or 23. - Therefore, **599 is a prime number**. - **387**: - Check divisibility by prime numbers up to √387 (which is approximately 19.7). - It is divisible by 3 (387 ÷ 3 = 129). - Therefore, **387 is a composite number**. 3. **Conclusion**: - The numbers 157, 571, and 599 are all prime numbers. - The number 387 is a composite number. - Thus, **387 is the number that is different from the others**. ### Final Answer: The number which is different from the others is **387**.
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