# PE 2 - Tables & Graphs | DI - Tables & Graphs

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**Answer the next 3 questions based on the information given below.**

Hotel LaMinar started its operations on 5^{th} October. The following data is regarding the number of guests staying at the hotel from 5^{th} to 10^{th} of October. Every guest stays for at least one day. Both check-in and check-out time is 12 noon.

**PE 2 - Tables & Graphs | DI - Tables & Graphs**

What is the minimum number of guests that checking in on 7^{th} and checked-out on 8^{th}?

- (a)
19

- (b)
13

- (c)
17

- (d)
16

Answer: Option B

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**Explanation** :

Total number of guests checking-in on 5^{th} and 6^{th} is 40 + 30 = 70.

Of these 70 guests, guests who have checked out on 6^{th} and 7^{th} is 25 + 23 = 48

∴ 70 - 48 = 22 guests staying till 8^{th} are those whose checked-in on 5^{th} or 6^{th}.

Now 35 guests leave on 8^{th}. To minimize guests checking in on 7^{th} and checking-out on 8^{th} we will maximize guests who checked out on 8^{th} but checked-in on 5^{th} or 6^{th}.

∴ Out of 35 guests checking out on 8th maximum 22 guests were from 5th or 6th.

⇒ Minimum, 35 – 22 = 13 guests who checked in on 7^{th} will have to check out on 8^{th}.

Hence, option (b).

Workspace:

**PE 2 - Tables & Graphs | DI - Tables & Graphs**

What is the maximum number of guests that stayed for at least four days?

Answer: 12

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**Explanation** :

We try to maximize guests who stay for fo^{}ur or more days.

Till 9^{th} total 158 guests check-in and all these 158 guests check-out till 10^{th}.

∴ Only those guests who checked in on 5^{th} or 6^{th} can stary for four or more days.

∴ We try to make these guests stay for as long as possible.

Refer the table below.

∴ At most 12 guests can stay for four months.

Hence, 12.

Workspace:

**PE 2 - Tables & Graphs | DI - Tables & Graphs**

What is the minimum number of guests that stayed for at least two days?

Answer: 24

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**Explanation** :

We try to maximize guests who stay for less than two days.

∴ Maximum guests should stay for only 1 day.

Also, till 9^{th} total 158 guests check-in and all these 158 guests check-out till 10^{th}.

Refer the table below.

∴ Minimum (10 + 5 + 7 + 2 =) 24 guests stayed for at least 2 days.

Hence, 24.

Workspace:

**Answer the next 5 questions based on the information given below.**

Ravi is organizing a trip to Kashmir for his entire family. He invited quotes from three different tourism companies. The graph that follows gives the cost per head quoted by each of these companies for a given number of passengers (p).

**PE 2 - Tables & Graphs | DI - Tables & Graphs**

If p is equal to 20, then which company should Ravi hire for the trip?

- (a)
either 1 or 2

- (b)
2 only

- (c)
3 only

- (d)
either 2 or 3

Answer: Option D

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**Explanation** :

From the graph, it can be seen that for p = 20, the per head cost is same and least for company 2 and 3.

Hence, Ravi can hire either company 2 or company 3.

Hence, option (d).

Workspace:

**PE 2 - Tables & Graphs | DI - Tables & Graphs**

When should Ravi hire company 2?

- (a)
p > 20

- (b)
20 < p < 25

- (c)
5 < p < 20

- (d)
p < 25

Answer: Option B

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**Explanation** :

From the graph, it is clear that company 2 has the least cost per head when the number of passengers is between 20 to 25.

Hence, option (b).

Workspace:

**PE 2 - Tables & Graphs | DI - Tables & Graphs**

What could have been the number of passengers if Ravi hires company 1?

- (a)
Between 20 and 25.

- (b)
< 25

- (c)
≥ 25

- (d)
None of these

Answer: Option C

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**Explanation** :

From the graph, we can see that company 1 have the least cost per head only when the numbers of passengers are more than or equal to 25.

Hence, option (c).

Workspace:

**PE 2 - Tables & Graphs | DI - Tables & Graphs**

When can Ravi hire company 3?

- (a)
p < 15

- (b)
0 < p ≤ 20

- (c)
10 < p < 25

- (d)
None of these

Answer: Option B

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**Explanation** :

From the graph, observe that company 1 can be hired only when p ≤ 20.

Hence, option (b).

Workspace:

**PE 2 - Tables & Graphs | DI - Tables & Graphs**

If p < 25, then the best alternative will be _____.

- (a)
Hire company 2

- (b)
Hire company 3

- (c)
Hire company 1

- (d)
Do not hire company 1

Answer: Option D

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**Explanation** :

If p < 25, then either company 2 or company 3 will give least cost per head.

Hence, if p < 25, it is best not to hire company 1.

Hence, option (d).

Workspace:

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