# PE 6 - Selection & Distribution | LR - Selection & Distribution

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**Answer the next 4 questions based on the information given below.**

Roomesh, the quant faculty at Quantile, has twelse students – A through L – enrolled in his class. He wanted to form study groups of these students, in the following manner, based on the marks that they scored in an examination:

For each study group that he wants to form, he first identifies the monitor of the study group. Any student whose marks fall within a 10% range of the marks of the monitor can be in the study group of that monitor. The monitors of the study groups can be any of the twelve students. The size of a study group includes the monitor and all the members of the study group. Further, the size of each study group must be at least two and the size of all the study groups need not be the same. Each student must be a part of exactly one study group. The following table provides the marks scored by the twelve students in the examination:

**PE 6 - Selection & Distribution | LR - Selection & Distribution**

The students given in which of the following options can be the only students in a study group?

- (a)
A, B, D, F

- (b)
C, F, G, L

- (c)
C, I, J, L

- (d)
F, G, I, J

Answer: Option C

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**PE 6 - Selection & Distribution | LR - Selection & Distribution**

Who among the following will definitely be in the same group?

- (a)
A and C

- (b)
B and K

- (c)
D and I

- (d)
B and H

Answer: Option D

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**PE 6 - Selection & Distribution | LR - Selection & Distribution**

If all the study groups have the same number of students, what is the minimum number of study groups that must be formed?

Answer: 4

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**PE 6 - Selection & Distribution | LR - Selection & Distribution**

If A, F and K must be in the same group, who among the following cannot be a monitor?

- (a)
F

- (b)
A

- (c)
D

- (d)
K

Answer: Option D

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**Answer the next 4 questions based on the information given below.**

Six flights – A to F, operate between cities – New York, France, Sydney, Beijing, Singapore and Bhopal. All six flights take-off from different cities and land in different cities. No two flights operate between the same pair of cities. Flight duration of each flight is a distinct integer between 3 and 11 (excluding both).

The following information is known about the origins, destinations and the travel times of the six flights:

- Flight A's destination matches Flight D's origin, but neither originates from nor travels to France.
- Flight E's travel duration exceeds Flight C's by two hours and is more than six hours.
- One flight departs from New York bound for Bhopal, with a travel duration of six hours.
- F, the flight to Sydney has a travel duration under ten hours, whereas the flight originating in Sydney lasts five hours.
- Flight B, starting from Singapore, has a travel duration equating to the average of flights originating from Beijing and Bhopal.
- The flight to France departs from Sydney; Flight D does not originate in Bhopal.

**PE 6 - Selection & Distribution | LR - Selection & Distribution**

Which flight lands at Bhopal?

- (a)
D

- (b)
E

- (c)
F

- (d)
Either A or E

Answer: Option A

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**PE 6 - Selection & Distribution | LR - Selection & Distribution**

If each of the six flights starts from its origin city twice each day, once at 6:00 AM and once at 1:00 PM, what is the minimum number of hours required for a person to travel from Bhopal to Singapore using these six flights?

Answer: 31

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**PE 6 - Selection & Distribution | LR - Selection & Distribution**

What is the travel time for flight starting from Beijing?

Answer: 10

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**PE 6 - Selection & Distribution | LR - Selection & Distribution**

The flight originating from Bhopal lands in which city?

- (a)
Beijing

- (b)
Sydney

- (c)
New York

- (d)
Cannot be determined

Answer: Option B

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