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Number Puzzle Box

CMAT 2026 · Logical Reasoning · Medium · Puzzles

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Finding the missing number (?) in the following arrangement:

  • Box 1: Top corners (15, 2), Bottom corners (5, 6), Middle = 40
  • Box 2: Top corners (9, 7), Bottom corners (4, 5), Middle = 30
  • Box 3: Top corners (17, 13), Bottom corners (13, 12), Middle = ?
  1. A.

    75

  2. B.

    130

  3. C.

    120

  4. D.

    50

Answer

D

Explanation

Pattern across the boxes: Middle=Top Left−Bottom Left2×(Top Right+Bottom Right)\text{Middle} = \frac{\text{Top Left} - \text{Bottom Left}}{2} \times (\text{Top Right} + \text{Bottom Right})

Box 1: 15−52×(2+6)=5×8=40\frac{15 - 5}{2} \times (2 + 6) = 5 \times 8 = 40 Box 2: 9−42×(7+5)=2.5×12=30\frac{9 - 4}{2} \times (7 + 5) = 2.5 \times 12 = 30 Box 3: 17−132×(13+12)=2×25=50\frac{17 - 13}{2} \times (13 + 12) = 2 \times 25 = 50

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