ANS:A - 1

The explanation describes a pattern where the numbers in the segments of a central circle are determined by the differences between sums of corresponding segments in surrounding circles. Here's a detailed breakdown of how to understand and apply this pattern:

Explanation of the Pattern:

1. Diagram Structure:
   • The central circle has numbers in its segments.
   • There are four surrounding circles with numbers in their segments.
2. Pattern for Calculation:
   • Difference Calculation: Each segment in the central circle equals the difference between the sum of the numbers in corresponding segments of the left two circles and the right two circles.

Applying the Pattern:

To determine or verify the result, follow these steps:

1. Identify the Segments:
   • Note the numbers in the corresponding segments of the left and right circles.
2. Calculate the Sums:
   • For each segment of the central circle, calculate the sum of the numbers in the corresponding segments of the left two circles.
   • Similarly, calculate the sum of the numbers in the corresponding segments of the right two circles.
3. Find the Difference:
   • Subtract the sum of the right segments from the sum of the left segments to get the number for the central circle.

Example:

Assume the numbers are arranged as follows:

• Left Circle 1: 2, 4
• Left Circle 2: 3, 5
• Right Circle 1: 6, 2
• Right Circle 2: 1, 8

Calculate the Central Circle Segments:

1. For the First Segment:
   • Sum of left segments = 2+3=52 + 3 = 52+3=5
   • Sum of right segments = 6+1=76 + 1 = 76+1=7
   • Difference = 5−7=−25 - 7 = -25−7=−2
2. For the Second Segment:
   • Sum of left segments = 4+5=94 + 5 = 94+5=9
   • Sum of right segments = 2+8=102 + 8 = 102+8=10
   • Difference = 9−10=−19 - 10 = -19−10=−1

Central Circle Segments:

• The values in the central circle segments would be -2 and -1 (based on the example numbers).

Verification:

• Ensure the differences are correctly calculated based on the sums of the corresponding segments in the left and right circles.

Conclusion:

The provided answer 1 indicates that each segment of the central circle is derived by calculating the difference between the sum of corresponding segments in the left two circles and the right two circles. The pattern ensures that the central circle accurately reflects these differences.