Machine Step III Sequence Number

CMAT 2021 · Logical Reasoning · Hard · Input Output

Using the machine rules (k→k2→k2+k→k2+k+5k \to k^2 \to k^2+k \to k^2+k+5 for Step III), which is the fifth number from the left end in step III of the following input? 6, 2, 14, 17, 8, 13

  1. A.

    64

  2. B.

    72

  3. C.

    75

  4. D.

    77

Answer

D

Explanation

The 5th input number from left is 8. Step I for 8: 82=648^2 = 64. Step II for 8: 82+8=728^2 + 8 = 72. Step III for 8: 72+5=7772 + 5 = 77.

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