ANS:C - 7

Structure of the Pattern:

• There is a circle divided into segments, with each segment having a specific value.
• Each segment's value is calculated based on numbers from segments directly opposite to it.

Explanation of the Pattern:

1. Identify Numbers:
   • Each segment has two outer numbers (from opposite segments) and an inner grey segment.
2. Apply the Calculation:
   • Multiply the two outer numbers from one segment.
   • Subtract the sum of the two outer numbers from the opposite segment.
   • The result gives the value for the inner grey segment.

Step-by-Step Process:

1. Identify Outer Numbers:
   • For a segment, determine the numbers in the two outer segments directly opposite to it.
2. Calculate the Value:
   • Multiply the outer numbers together.
   • Subtract the sum of the outer numbers from the opposite segment.
   • The result is the value for the inner grey segment.

Example Walkthrough:

Assume you have the following numbers in the segments of the circle:

• Segment 1 (Opposite to Grey): Outer numbers are 4 and 5.
• Segment 2 (Grey Segment): We need to calculate this value.

1. Multiply Outer Numbers of Segment 1: 4×5=204 \times 5 = 204×5=20
2. Identify the Sum of Outer Numbers in the Opposite Segment (Segment 2):
   • Assume outer numbers in Segment 2 are 6 and 7.
   6+7=136 + 7 = 136+7=13
3. Subtract the Sum from the Product: 20−13=720 - 13 = 720−13=7

So, the inner grey segment value is 7.

Conclusion:

In this pattern, the number in each inner grey segment is determined by multiplying the two outer numbers from the opposite segment and subtracting the sum of the outer numbers in the opposite segment. If the resulting number is "7," it confirms that the pattern has been correctly applied.