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Ten candidates appear for an interview and six of them are selected. There are two M.Techs, two MBAs, two MBBS and four LLB among the candidates. At least one MBA candidate is selected, of the six selected candidates, exactly one must be an M.Tech candidate. If two MBBS candidates are selected, then which of the following statements can be TRUE?

Ten candidates appear for an interview and six of them are selected. There are two M.Techs, two MBAs, two MBBS and four LLB among the candidates. At least one MBA candidate is selected, of the six selected candidates, exactly one must be an M.Tech candidate. If two MBBS candidates are selected, then which of the following statements can be TRUE? Correct Answer Only one MBA and two LLB candidates are selected.

The correct answer is Only one MBA and two LLB candidates are selected.
Course M.techs MBAs MBBS LLB
Total (10) 2 2 2 4
Selected (6) 1   2  

As per the given conditions, the given selections are possible:
  • Two MBA, One MTech, Two MBBS, One LLB.
  • One MBA, One MTech, Two MBBS, Two LLB.
  • Thus, we find that only the third option can be true.
Hence, the correct answer is Only one MBA and two LLB candidates are selected.

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