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In a scenario where a set is defined by the constraints of being both a prime nu

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Question: In a scenario where a set is defined by the constraints of being both a prime number and less than 20, which of the following is NOT included in the set?

Options:

  1. 2
  2. 3
  3. 4
  4. 19

Correct Answer: 4

Solution:

The number \'4\' is not a prime number, thus it does not belong to the set defined by the given constraints.

In a scenario where a set is defined by the constraints of being both a prime nu

Practice Questions

Q1
In a scenario where a set is defined by the constraints of being both a prime number and less than 20, which of the following is NOT included in the set?
  1. 2
  2. 3
  3. 4
  4. 19

Questions & Step-by-Step Solutions

In a scenario where a set is defined by the constraints of being both a prime number and less than 20, which of the following is NOT included in the set?
  • Step 1: Understand what a prime number is. A prime number is a number greater than 1 that has no positive divisors other than 1 and itself.
  • Step 2: Identify the prime numbers that are less than 20. These are: 2, 3, 5, 7, 11, 13, 17, 19.
  • Step 3: Look at the number '4'. Determine if it is a prime number.
  • Step 4: Check the divisors of '4'. The divisors are 1, 2, and 4. Since '4' has divisors other than 1 and itself, it is not a prime number.
  • Step 5: Conclude that since '4' is not a prime number, it does not belong to the set of prime numbers less than 20.
  • Prime Numbers – A prime number is a natural number greater than 1 that cannot be formed by multiplying two smaller natural numbers.
  • Set Definition – Understanding how to define a set based on specific constraints or properties.
  • Number Properties – Recognizing the properties of numbers, such as even, odd, prime, and composite.
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