The number at the place of * in the adjoining figure will be

2018

The number at the place of * in the adjoining figure will be

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  1. A.

    8

  2. B.

    9

  3. C.

    10

  4. D.

    11

Attempted by 1 students.

Show answer & explanation

Correct answer: D

In this figure-based reasoning pattern, four numbers sit at the top, left, right and bottom positions around a centre number. In every figure, the centre number equals half the sum of the four surrounding numbers: Centre = (Top + Left + Right + Bottom) ÷ 2.

  1. In the first figure, the surrounding numbers are 3, 4, 6 and 1; their sum is 3 + 4 + 6 + 1 = 14, and half of 14 is 7 — matching the centre number shown there.

  2. In the second figure, the surrounding numbers are 2, 3, 1 and 4; their sum is 2 + 3 + 1 + 4 = 10, and half of 10 is 5 — again matching the centre number shown.

  3. In the fourth (target) figure, the surrounding numbers are 5 (top), 6 (left), 4 (right) and 7 (bottom); their sum is 5 + 6 + 4 + 7 = 22.

  4. Half of 22 is 11, so the missing centre number represented by * is 11.

The same rule can be verified on the third figure: the surrounding numbers 7, 8, 6 and 9 add up to 30, and half of 30 is 15 — exactly the centre number shown there, confirming the relationship holds consistently across all the figures.

Therefore, the number at the place of * is 11.

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