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Q #6
:

Directions: Answer the questions on the basis of the information given below.

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 atleast one of the liking of any of the other three persons selected.

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

Who are the four people selected by the king?

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Explanation: likings: M1 = F + S; M2 = S + D; M5 = D, M6 = F. At least one liking is shared. Dislikes: M1 = G, M2 = F, M5 = 5 + M, M6 = 5 + M. Since G is not in the liking list, choice (a) is wrong. Continue checking. Only M1, M2, M4 and M7 (liking = F + S + D + M + G, dislike = G + F + D + F) meets all the requirements.

Q #7
:

Directions: Answer the questions on the basis of the information given below.

In a “keep-fit” gymnasium class there are fifteen females enrolled in a weight-loss program. They all have been grouped in any one of the five weight-groups W1, W2, W3, W4, or W5. One instructor is assigned to one weight-group only. Sonali, Shalini, Shubhra, and Shahira belong to the same weight-group. Sonali and Rupa are in one weight-group, Rupali and Renuka are also in one weight-group. Rupa, Radha, Renuka, Ruchika, and Ritu belong to different weight-groups. Somya cannot be with Ritu, and Tara cannot be with Radha. Komal cannot be with Radha, Somya, or Ritu. Shahira is in W1 and Somya is in W4 with Ruchika. Sweta and Jyotika cannot be with Rupali, but are in a weight-group with total membership of four. No weight-group can have more than five or less than one member. Amita, Babita, Chandrika, Deepika, and Elina are instructors of weight-groups with membership sizes 5, 4, 3, 2 and 1, respectively.

Who is the instructor of Radha?

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Explanation: Radha cannot be in W1 or with Tara or Komal. This leaves her to be in the group with membership 1, so Elina is her instructor.

Q #8
:

Directions: - These questions are based on the following data.

One day Umesh wanted to find out what day of the week it was and he got the following responses from his friends to his query.

  • Praful    :    Yesterday was one of my lying days.
  • Karan    :    Yesterday was one of my lying days too.

What day of the week was it?

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Praful said yesterday was one of my lying days Today is a Thursday (i.e., he is speaking the truth) OR Today is a Monday (i.e., he is lying) Similarly, Karan is speaking the truth then today is a Sunday OR If he is lying they today is Thursday. The only possibility common is that today is a Thursday.

Q #9
:

Directions: - These questions are based on the following data.

On another day when Umesh wanted to find out the day of the week, he met only Praful who made the following two statements:

  1. I lied yesterday   
  2. I will lie two days after tomorrow

What day of the week was it?

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Assume that on the given day Praful is lying. I is a lie ?Paful spoke the truth yesterday ? Today is a Monday II is a lie ?Today is a Monday or a Tuesday or a Wednesday (since then two days after tomorrow could be Thursday, Friday or Saturday and he will be speaking the truths. II and I ?Today is Monday Now assume that praful is not lying. I is true ? Today is Thursday II is true ?Praful will lie on Sunday. But this is not hence the conclusion that today is Monday.

Q #10
:

Directions: - These questions are based on the following data.

On what day(s) of the week is it possible for Praful to make the following two statements?

  1. I lied yesterday   
  2. I will lie tomorrow

What day (s)?

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If Parful is lying I is a lie ? today is a Monday II is a lie ?Today is a Wednesday I and II cannot be lies simultaneously Let Praful be speaking the truth I is true ? today is Thursday. II is true ? today is Sunday. I and II cannot be simultaneously true. such a case is not possible.