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CAT 2001 | Question: 146

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A king has unflinching loyalty from eight of his ministers $\text{M1}$ to $\text{M8},$ 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.

  • $\text{M1}$ likes fishing and smoking, but hates gambling.
  • $\text{M2}$ likes smoking and drinking, but hates fishing.
  • $\text{M3}$ likes gambling, but hates smoking.
  • $\text{M4}$ likes mountaineering, but hates drinking.
  • $\text{M5}$ likes drinking, but hates smoking and mountaineering.
  • $\text{M6}$ likes fishing, but hates smoking and mountaineering.
  • $\text{M7}$ likes gambling and mountaineering, but hates fishing.
  • $\text{M8}$ likes smoking and gambling, but hates mountaineering.

Who are the four people selected by the king?

  1. $\text{M1, M2, M5, M6}$
  2. $\text{M3, M4, M5, M6}$
  3. $\text{M4, M5, M6, M8}$
  4. $\text{M1, M2, M4, M7}$

1 Answer

Best answer
1 1 vote

We can solve this by options

check option d)

Minister Likes Dislikes Share Likes Dislike by onelike by other pairs
M1 Fishing,Smoking Gambling M2(Smoking) M1-M7(Gambling)
M2 Smoking Drinking Fishing M1(Smoking) M2-M1(Fishing)
M4 Mountaineering Drinking M7(Mountaineering) M2-M4(Drinking)
M7 Gambling and Mountaineering Fishing M4(Mountaineering) M1-M7(Fishing)

 

 

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