Number Pattern in Cross Figure

CMAT 2024 · Logical Reasoning · Medium · Number Puzzles

Find the missing term in the following figure pattern:

  • Figure 1: Outer numbers 169, 9, 36, 64; Center number 6.
  • Figure 2: Outer numbers 36, 16, 49, 9; Center number 4.
  • Figure 3: Outer numbers 121, 81, 100, 25; Center number ?.
  1. A.

    5

  2. B.

    6

  3. C.

    11

  4. D.

    7

Answer

D

Explanation

Pattern: Take square root of all 4 outer numbers, sum them up, and divide by 5.

Figure 1: 169+9+36+64=13+3+6+8=30\sqrt{169} + \sqrt{9} + \sqrt{36} + \sqrt{64} = 13 + 3 + 6 + 8 = 30. 30/5=630 / 5 = 6. Figure 2: 36+16+49+9=6+4+7+3=20\sqrt{36} + \sqrt{16} + \sqrt{49} + \sqrt{9} = 6 + 4 + 7 + 3 = 20. 20/5=420 / 5 = 4. Figure 3: 121+81+100+25=11+9+10+5=35\sqrt{121} + \sqrt{81} + \sqrt{100} + \sqrt{25} = 11 + 9 + 10 + 5 = 35. 35/5=735 / 5 = 7.

Hence, Option D is correct.

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