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

**Answer the following questions based on the information given below.**

Each of the six couples A through F watched exactly two of the following movies – Bahubali, Pushpa, KGF and Kabali. Following is the information known about them.

(i) No two couples watches the same set of movies.

(ii) Neither B nor E watched Bahubali and B does not watch Pushpa.

(iii) F saw Pushpa and KGF.

(iv) A saw Kabali.

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

Which of the movies does B watch?

- A.
Pushpa and KGF

- B.
Pushpa and Kabali

- C.
KGF and Kabali

- D.
Cannot be determined

Answer: Option C

**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:

∴ B watched KGF and Kabali.

Hence, option (c).

Workspace:

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

Which couple has seen Pushpa and Kabali?

- A.
B

- B.
C

- C.
E

- D.
Cannot be determined

Answer: Option C

**Explanation** :

Consider the solution to previous question.

E has seen Pushpa and Kabali

Hence, option (c).

Workspace:

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

What are the movies that C watched?

- A.
Bahubali and Kabali

- B.
Bahubali and Pushpa

- C.
Bahubali and solar heater

- D.
Cannot be determined

Answer: Option D

**Explanation** :

Consider the solution to previous question.

C watched Bahubali and one of KGF or Pushpa.

Hence, option (d).

Workspace:

**Answer the following questions based on the information given below.**

Three mobile stores – A, B and C – sell mobiles phones of different brands out of the six brands – Redmi, Vivo, Samsung, Xiomi, Oneplus and Apple.

- Out of these three stores, one sells five brands, another sells four brands and the third sells three brands.
- There are exactly two different brands, out of the six brands, which are sold by all the three stores.
- It is known that store B does not sell Redmi, store A does not sell Apple and store C does not sell Samsung.
- The number of brands that store A sells is more than the number of brands sold by store C.
- Also, any store must sell either Redmi or Apple, but not both.
- If a store sells Vivo, then it must sell Oneplus also.
- If a store sells Oneplus, then it must sell Xiomi also.
- Vivo is sold by exactly one store.
- Also, each brand is sold in at least one store.

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

Which store sells the least number of brands?

- A.
A

- B.
B

- C.
C

- D.
Cannot be determined

Answer: Option C

**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:

C sells the least number of brands.

Hence, option (c).

Workspace:

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

Which among the following could be the group of brands sold by only two stores?

- A.
Xiomi and Oneplus

- B.
Apple and Samsung

- C.
Redmi and Apple

- D.
None of these

Answer: Option D

**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).

Workspace:

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

How many different arrangements are possible for the number of brands sold by the three stores?

- A.
4

- B.
3

- C.
2

- D.
None of these

Answer: Option C

**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).

Workspace:

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

How many different arrangements are possible for brands sold by the three stores?

- A.
4

- B.
3

- C.
2

- D.
None of these

Answer: Option A

**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).

Workspace:

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