PE 4 - Selection & Distribution | LR - Selection & Distribution

Answer: Option C

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Explanation :

Out of 4 movies, 6 different pairs can be formed. As no two couples watched the same set of movies, each of these 6 pairs will be watched by a different couple such that each movie would be watched by exactly three different couples.

From (ii) and (iii) we get B, E and F do not watch Bahubali. A, C and D watched Bahubali.

From (ii) B did not watch Pushpa either, hence B should have seen KGF and Kabali.

From (iii) A watched Kabali.

From (iv) F saw Pushpa and KGF

Now, C and D cannot see Kabali since A has already watched the combination of Bahubali and Kabali.

Now, out of C and D, one of them will watch Pushpa and the other KGF in any order.

Since 3 couples have to see Pushpa, E will see Pushpa. Also, E cannot watch KGF to avoid same combination as F, hence E will watch Kabali.

Hence, we get the following table:

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∴ B watched KGF and Kabali.

Hence, option (c).

Answer: Option C

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Explanation :

Consider the solution to previous question.

E has seen Pushpa and Kabali

Hence, option (c).

Answer: Option D

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Explanation :

Consider the solution to previous question.

C watched Bahubali and one of KGF or Pushpa.

Hence, option (d).

Answer: Option C

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Explanation :

We have 3 stores (A, B and C) selling 6 brands – Redmi (R), Vivo (V), Samsung (S), Xiomi (X), Oneplus (O) and Apple (Ap).

From (ii) 2 brands are sold by all three stores. These brands cannot be Redmi, Apple and Samsung since

From (iii) B does not sell Redmi, A does not sell Apple and C does not sell Samsung. 

Also, from (viii) Vivo cannot be sold by all three stores. Hence, the two brands sold by all three stores are Oneplus and Xiomi.

From (v) A store must sell Redmi or Apple, but not both. Hence, store A must sell Redmi and B must sell Apple.

From (i) Out of these three stores, one sells five brands, another sells four brands and the third sells three brands. 

From (iv) A sells more brands than C, hence C cannot sell 5 brands. Hence, either A or B will sell 5 brands and hence one of A or B will sell Vivo.

From (viii) Since Vivo is sold by exactly one othe stores, C will not sell Vivo but sell exactly one of Redmi or Apple. Hence, C sells exactly 3 brands.

∴ A or B sells 4 or 5 brands in any order. It means but both of them will sell Samsung.

Hence, we get the following table:

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C sells the least number of brands.

Hence, option (c).

Answer: Option D

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Explanation :

Consider the solution for the first question of this set.

Samsung is definitely sold by two stores. Of the remaining brands either Redmi or Apple will be sold by exactly two stores.

Hence, option (d).

Answer: Option C

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Explanation :

Consider the solution for the first question of this set.

There are two arrangements for the number of brands sold by the three stores.
A – 5, B – 4 and C – 3 or
A – 4, B – 5 and C – 3

Hence, option (c).

Answer: Option A

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Explanation :

Consider the solution for the first question of this set.

There are four arrangements for the number of brands sold by the three stores.

2 possibilites for Redmi or Apple being sold by C.
2 possibilites for Vivo being sold by either A or B.

∴ 2 × 2 = 4 possibilities. 

Hence, option (a).