CAT 2001 — DILR Question 39
Answer the following question based on the information given below.
A group of three or four has to be selected from seven persons. Among are two women: Fiza and Kavita, and five men: Ram, Shyam, David, Peter and Rahim. Ram would not like to be in the group if Shyam is also selected. Shyam and Rahim want to be selected together in the group. Kavita would like to be in the group only if David is also there. David, if selected, would not like Peter in the group. Ram would like to be in the group only if Peter is also there. David insists that Fiza be selected in case he is there in the group.
A king has unflinching loyalty from eight of his ministers M1 to M8, but he has to select only four to make a cabinet committee. He decides to choose these four such that each selected person shares a liking with at least one of the other three selected. The selected persons must also hate one of the likings of any of the other three persons selected.
A. M1 likes fishing and smoking, but hates gambling.
B. M2 likes smoking and drinking, but hates fishing.
C. M3 likes gambling, but hates smoking.
D. M4 likes mountaineering, but hates drinking.
E. M5 likes drinking, but hates smoking and mountaineering.
F. M6 likes fishing, but hates smoking and mountaineering.
G. M7 likes gambling and mountaineering, but hates fishing.
H. M8 likes smoking and gambling, but hates mountaineering.
Who are the four people selected by the king?
Answer & solution
- A
M1, M2, M5, M6
- B
M3, M4, M5, M6
- C
M4, M5, M6, M8
M1, M2, M4, M7
For option 1:
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M1 hates gambling but no one in the group likes it.
∴ Option 1 cannot be the answer.
For option 2:
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In this group nobody has a common liking.
∴ Option 2 cannot be the answer.
For option 3:
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In this group also, nobody has a common liking.
∴ Option 3 cannot be the answer.
∴ Only option remaining is 4.
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Hence, option (d).