Candidate Selection Logic

CMAT 2018 · Logical Reasoning · Medium · Selection Logic

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?

  1. A.

    One MBA and one LLB candidate are selected.

  2. B.

    Three LLB candidate are selected.

  3. C.

    Only one MBA and two LLB candidates are selected.

  4. D.

    One M.Tech and three LLB Candidates are selected.

Answer

C

Explanation

Selected candidates total = 6. Given: 1 M.Tech, 2 MBBS. Remaining to select = 6−3=36 - 3 = 3 candidates from MBA and LLB. At least 1 MBA must be selected. Case 1: 1 MBA and 2 LLB selected. Case 2: 2 MBA and 1 LLB selected. Option C matches Case 1: 'Only one MBA and two LLB candidates are selected.'

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