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      Question

      The average of marks obtained by 50 candidates was 56.

      If the average of the passed candidates was 60 and that of the failed candidates was 50, then the number of those candidates, who passed the examination was:      
      A 30 Correct Answer Incorrect Answer
      B 34 Correct Answer Incorrect Answer
      C 42 Correct Answer Incorrect Answer
      D 28 Correct Answer Incorrect Answer

      Solution

      Suppose the number of candidates passed = x ∴ 60x + 50 (50 - x) = 50 × 56 ⇒ 10x = 50 × 56 - 50 × 50 = 50 (56 - 50) = 50 × 6 ⇒ x = 30        

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