Find the missing number in the following figure:

2025

Find the missing number in the following figure:

RSSB Patwar 2025 Shift 2 Q65 figure
  1. A.

    31

  2. B.

    28

  3. C.

    27

  4. D.

    32

Attempted by 10 students.

Show answer & explanation

Correct answer: A

In a four-row number grid puzzle, all three columns follow the same fixed arithmetic relationship linking the top, second, third, and bottom entries. Once that relationship is confirmed using the two complete columns, it can be applied to find the missing value in the incomplete column.

Here, the relationship connecting the rows is: Row 1 = Row 2 x (Row 4 - Row 3), which can be rearranged as Row 4 = (Row 1 / Row 2) + Row 3.

  1. Column 1 check: 96 / 4 = 24, and 24 + 5 = 29, matching the given bottom-row value 29.

  2. Column 2 check: 130 / 5 = 26, and 26 + 9 = 35, matching the given bottom-row value 35.

  3. Column 3 (missing value): 162 / 6 = 27, and 27 + 4 = 31.

Cross-check: using the rearranged form of the same relationship, Row 1 = Row 2 x (Row 4 - Row 3), for column 3: 6 x (31 - 4) = 6 x 27 = 162, which exactly matches the given top-row value 162. This independently confirms the missing number.

The missing number is 31.

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