Scheduling experts for advice sessions

CMAT 2018 · Logical Reasoning · Hard · Logical Reasoning

Seven experts N, G, M, W, J, K and L give expert advice sessions to the XII class students. These sessions can take place either before the school, during lunch period or after the school. In scheduling these sessions the following conditions are followed:

  • At least two experts must hold the sessions before school.
  • At least three experts must hold their sessions after school.
  • M is not available after school and J is available only after school.
  • W always takes extra session during lunch.
  • G will take session before school only if N is also scheduled before school.

All the following statements could be true except:

  1. A.

    The same number of experts take sessions before school as after school

  2. B.

    The same number of experts take sessions before school as during lunch

  3. C.

    Twice as many experts take sessions after the school as before the school

  4. D.

    The same number of experts take sessions after school as during lunch

Answer

D

Explanation

Total experts = 7. Minimum before school = 2. Minimum after school = 3. At least 1 during lunch (W). Thus, the maximum experts during lunch = 7−2−3=27 - 2 - 3 = 2. Since experts after school ≥3\ge 3 and experts during lunch ≤2\le 2, the number of experts after school and during lunch can never be equal.

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