Question

Ten candidates appear for an interview and six of them are selected. There are two M.As, two M.B.As, two M.C.As and four B.Techs among the candidates. If at least one M.B.A candidate is selected, then exactly two B.Tech candidates must be selected, and vice versa. Of the six selected candidates, exactly one must be an M.A. candidate

Q1. Which of the following statements is definitely TRUE, if two B.Tech candidates are selected? (A) Two M.C.As and two M.As are selected (B) Only two M.B.As and only one M.C.A are selected. (C) One M.B.A and two M.As are selected (D) Two MBAs are selected.

Q2. If two M.C.A candidates are selected, then which of the following statements can be TRUE? (A) One M.B.A and one B.Tech candidate are selected. (B) Three B.Tech candidates are selected. (C) Only one M.B.A and two B.Tech candidates are selected (D) One M.A and three B.Tech candidates are selected.

Q3. Which of the following statements is definitely FALSE? (A) If four B.Tech candidates are selected, then two M.B.A candidates must be selected. (B) One M.A candidate, one M.B.A candidate and two M.C.A candidates can be selected. (C) One M.A, one M.B.A, two M.C.As and two B.Techs is a possible combination of selection. (D) More than one of the above​

Answer 1

Answer:

1. b
2. c
3. a

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