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Number puzzles - Puzzles

Q1:

A 3

B 6

C 9

D 12

ANS:C - 9

Structure of the Pattern:

  1. Triangles Configuration:
    • The diagram includes three triangles arranged in a circular pattern.
    • Each triangle has an outer set of digits and a central digit.
  2. Sum Calculation:
    • Calculate the sum of the outer digits for each triangle.
    • Place this sum in the central position of the triangle that is one place clockwise in the arrangement.

Explanation of the Pattern:

  1. Identify Outer Digits:
    • For each triangle, determine the digits located on the outer edges.
  2. Calculate the Sum:
    • Add the outer digits together for each triangle.
  3. Place the Sum:
    • Write the sum in the center of the triangle that is located one place clockwise from the current triangle.

Step-by-Step Process:

  1. Find Outer Digits:
    • Identify the digits on the outer edges of each triangle.
  2. Compute the Sum:
    • Calculate the total of these outer digits for each triangle.
  3. Write the Sum:
    • Move one place clockwise and place the calculated sum in the center of the triangle in that position.

Example Walkthrough:

Assume you have three triangles arranged as follows:
  • Triangle A:
    • Outer Digits: 1, 4, 2
    • Sum = 1+4+2=71 + 4 + 2 = 71+4+2=7
  • Triangle B:
    • Outer Digits: 3, 5, 1
    • Sum = 3+5+1=93 + 5 + 1 = 93+5+1=9
  • Triangle C:
    • Outer Digits: 6, 2, 3
    • Sum = 6+2+3=116 + 2 + 3 = 116+2+3=11

Applying the Pattern:

  1. Write Sums:
    • Place the sum of the outer digits of Triangle A (7) in the center of Triangle B.
    • Place the sum of the outer digits of Triangle B (9) in the center of Triangle C.
    • Place the sum of the outer digits of Triangle C (11) in the center of Triangle A.
  2. Result:
    • The central digit of Triangle B will be 9, based on the sum of the outer digits of Triangle C.

Conclusion:

The answer "9" indicates that, when applying the pattern, the sum of the outer digits of each triangle is placed in the center of the triangle located one place clockwise. In this case, the sum calculated for the relevant triangle results in the central digit being 9.