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WBCS Preliminary Examination 2023 — General Studies · Question 65 of 200

Q65
ReasoningSeating Arrangement, Ranking & Puzzles
Daily number of periods of teaching is 6 for class VI to VIII and 7 for classes IX and X in a school. If no teacher can be assigned more than 5 periods a day, what is the minimum number of teachers needed?
  1. a.5
  2. b.6
  3. c.7
  4. d.8

Answer: (C) 7

Total teaching periods per day = $3\times6$ (Classes VI, VII, VIII) $+\ 2\times7$ (Classes IX, X) $=18+14=32$. Each teacher can take at most 5 periods, so the number of teachers needed is at least $32\div5=6.4$, i.e. 7 after rounding up. Six teachers could cover only 30 periods, which is short by 2. Seven teachers can cover 35 periods, and since only five classes run at any one time, a workable timetable exists. In "minimum number" questions always round up, never down.

Q64 Whole paperQ66