What is the missing number in the star figure?

Question image

Understand the Problem

The question is asking to determine the missing number in the star figure based on the known numbers around it, which indicates a logic or pattern recognition problem.

Answer

$34$
Answer for screen readers

The missing number is $34$.

Steps to Solve

  1. Identify the Numbers Around the Star The numbers surrounding the star figure are: $8$, $12$, $26$, and $18$. We need to find the missing number at the top of the star.

  2. Look for Patterns Examine how the numbers relate to each other. A potential pattern involves each pair of numbers around the star summing to the missing value.

  3. Calculate the Missing Number Assuming pairs are formed with adjacent numbers:

  • The pair $8$ and $12$: $$ 8 + 12 = 20 $$
  • The pair $18$ and $26$: $$ 18 + 26 = 44 $$
  1. Testing Another Pair Alternatively, we can check:
  • The pair $12$ and $18$ gives: $$ 12 + 18 = 30 $$
  • The pair $8$ and $26$ gives: $$ 8 + 26 = 34 $$

A relationship might exist where the missing number is the average of these sums.

  1. Find the Missing Value Calculating using the sum found previously:
  • Let's take all pairs and find an average or identify if one of the provided choices fits logically.
  1. Conclude with Logic After calculating, check which provided option matches the determined relationship.

The missing number is $34$.

More Information

In this star-shaped logic puzzle, the numbers around often form either sums or differences leading back to the unknown value. In this case, certain calculations give possible values that can help deduce the missing figure.

Tips

  • Assuming all pairs need to sum equally might mislead one towards the wrong answer.
  • Often participants overlook that the relationships can involve averages or differences.

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