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WBCS Preliminary Examination 2017 — General Studies · Question 176 of 200

Q176
ArithmeticPercentage, Profit & Loss
In an examination, 35% students fail in Mathematics, 15% fail in English. If 10% fail in both, the pass per cent is
  1. a.60%
  2. b.40%
  3. c.35%
  4. d.25%

Answer: (A) 60%

By inclusion-exclusion, the share failing in at least one subject is $35+15-10=40\%$, so the pass percentage (failing in neither) is $100-40=60\%$.