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Insert the Missing Character

CMAT 2018 · Logical Reasoning · Medium · Logical Reasoning

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Insert the missing character.

| EJO | 80 | TYE | | DHL | 84 | PTX | | CFI | ? | LOR |

  1. A.

    63

  2. B.

    82

  3. C.

    88

  4. D.

    45

Answer

A

Explanation

The middle number is the sum of alphabetical positions (A=1,B=2,…,Z=26A=1, B=2, \dots, Z=26) of all letters in the adjacent triplets:

  • Row 1: EJO+TYE=(5+10+15)+(20+25+5)=30+50=80\text{EJO} + \text{TYE} = (5 + 10 + 15) + (20 + 25 + 5) = 30 + 50 = 80
  • Row 2: DHL+PTX=(4+8+12)+(16+20+24)=24+60=84\text{DHL} + \text{PTX} = (4 + 8 + 12) + (16 + 20 + 24) = 24 + 60 = 84
  • Row 3: CFI+LOR=(3+6+9)+(12+15+18)=18+45=63\text{CFI} + \text{LOR} = (3 + 6 + 9) + (12 + 15 + 18) = 18 + 45 = 63

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