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find the missing number in the diagram

image

Options provided:

  1. (1) 34

  2. (2) 19

  3. (3) 18

  4. (4) 15

To determine the missing number in the diagram, we need to identify the pattern or relationship between the given letters and numbers. Here's the provided information:

  • Letters: J, R, T, X, C, K, O, S
  • Numbers: 28, 44, 14
  • Missing Number: ?

Approach:

  1. Alphabetical Positions:

    • Assign each letter its position in the English alphabet:
      • J = 10
      • R = 18
      • T = 20
      • X = 24
      • C = 3
      • K = 11
      • O = 15
      • S = 19
  2. Analyzing the Numbers:

    • Examine the given numbers (28, 44, 14) to see if they correspond to any combinations or patterns involving the letter positions.
  3. Identifying Patterns:

    • Sum of Letter Positions: Check if the sum of certain letter positions equals the given numbers.
    • Differences or Products: Consider if differences or products of letter positions relate to the numbers.
    • Grouping Letters: Determine if letters are grouped in a way that their positions' sums match the numbers.

Example Analysis:

  • Sum Approach:
    • Pairing letters to see if their positions add up to the given numbers:

      • J (10) + R (18) = 28
      • T (20) + X (24) = 44
      • C (3) + K (11) = 14
      • O (15) + S (19) = 34
    • Here, the pairs (J, R), (T, X), and (C, K) have sums matching the given numbers. The pair (O, S) sums to 34, which might be the missing number.

Conclusion:

Based on the sum of the alphabetical positions, the missing number is likely 34.

Answer: Option (1) 34

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