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WBCS Preliminary Examination 2023 — General Studies · Question 43 of 200

Q43
ReasoningSeating Arrangement, Ranking & Puzzles
A stood 10th in the class, while B ranked 38 from the bottom. B's result is better than A and there are 2 students between A and B. Total number of students are
  1. a.40
  2. b.41
  3. c.42
  4. d.44

Answer: (D) 44

B did better than A and exactly two students stand between them, so B's rank from the top is $10-3=7$. B is thus 7th from the top and 38th from the bottom, and the total number of students is $7+38-1=44$. The general rule is: total = (rank from top) + (rank from bottom) − 1, because the person concerned is counted twice. Had B been worse than A, B would have been 13th from the top and the total would have been 50, which is not among the options.