Question

• Quantity A: The least prime number greater than 24
• Quantity B: The greatest prime number less than 28

• A. Quantity A is greater.
• B. Quantity B is greater.
• C. The two quantities are equal.
• D. The relationship cannot be determined from the information given.

Hint:

For questions involving prime numbers, it's helpful to memorize the primes up to 100. When checking for a prime, test for divisibility by smaller prime numbers (2, 3, 5, 7, etc.).

Answer 1

The Correct Option is A

Step 1: Understanding the Concept:
A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself. We need to find the prime numbers that are immediately after 24 and immediately before 28.
Step 2: Detailed Explanation:
For Quantity A: We need to find the least prime number that is greater than 24.
Let's check the integers greater than 24:
- 25 is divisible by 5.
- 26 is divisible by 2.
- 27 is divisible by 3.
- 28 is divisible by 2.
- 29 is only divisible by 1 and 29. So, 29 is the least prime number greater than 24.
\[ \text{Quantity A} = 29 \] For Quantity B: We need to find the greatest prime number that is less than 28.
Let's check the integers less than 28 in descending order:
- 27 is divisible by 3.
- 26 is divisible by 2.
- 25 is divisible by 5.
- 24 is divisible by 2.
- 23 is only divisible by 1 and 23. So, 23 is the greatest prime number less than 28.
\[ \text{Quantity B} = 23 \] Step 3: Final Answer:
Comparing the two quantities:
\[ 29>23 \] Therefore, Quantity A is greater than Quantity B.