Math Problem Statement

The image shows a number puzzle where several numbers radiate out from a central circle containing the number 11. One of the surrounding numbers is missing. The options are: (a) 15, (b) 17, (c) 18, (d) 16.

Solution

The image shows a number puzzle where several numbers radiate out from a central circle containing the number 11. Most of the numbers in the surrounding circles are prime numbers, including 2, 3, 5, 7, 13, 19, and 23. One circle, labeled with a question mark, needs to be filled in, with the options given being:

(a) 15
(b) 17
(c) 18
(d) 16

Given the pattern, we see that all the numbers around the central circle (11) are prime, except the missing number. Since 17 is the only prime number among the given options, it completes the pattern of primes.

Thus, the correct answer is (b) 17.

Would you like more details or have any further questions?

Here are 5 related questions to expand your understanding:

  1. What is the definition of a prime number?
  2. Can you identify more patterns involving prime numbers?
  3. Why are prime numbers important in mathematics?
  4. What is the smallest prime number greater than 23?
  5. Can you list all prime numbers between 1 and 30?

Tip: Prime numbers are numbers greater than 1 that have no divisors other than 1 and themselves.

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Math Problem Analysis

Mathematical Concepts

Prime Numbers
Number Patterns

Formulas

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Theorems

Definition of Prime Numbers

Suitable Grade Level

Grades 5-8