पुस्तकातील प्रस्तुतीच्या जागी कोणता अंक येईल?

Steps to Solve

1. Identify the pattern in the star figure Examine the numbers in the star shape and see if there's a consistent mathematical operation or pattern between the numbers located at the vertices and the center.

2. Calculate relationships between numbers Check the relationships between the numbers. For example, find if the number in the center is a product or a result of some operation on the numbers at the vertices. Look especially at:

• $60 \times 3 = 180$, adding $6$ gives $186$ (for the top).
• $18 \times 10 = 180$, adding $6$ gives $186$.

3. Determine a formula for the unknown Using the found pattern, apply it to find the unknown value at the bottom vertex. For the leftmost vertex, it's $564$. For the rightmost, it's $1698$. Check if a similar pattern as above holds:

• Verify using multiplication or another consistent operation.

4. Calculate the unknown number Using the identified pattern/method to calculate the unknown number. If the observed operations apply, use them to reach the final result.

5. Evaluate possible answers Cross-reference the derived answer with the given options (5052, 5100, 5094) to find the correct match.