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 5th October. The following data is regarding the number of guests staying at the hotel from 5th to 10th of October. Every guest stays for at least one day. Both check-in and check-out time is 12 noon.
What is the minimum number of guests that checking in on 7th and checked-out on 8th?
- (a)
19
- (b)
13
- (c)
17
- (d)
16
Answer: Option B
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Explanation :
Total number of guests checking-in on 5th and 6th is 40 + 30 = 70.
Of these 70 guests, guests who have checked out on 6th and 7th is 25 + 23 = 48
∴ 70 - 48 = 22 guests staying till 8th are those whose checked-in on 5th or 6th.
Now 35 guests leave on 8th. To minimize guests checking in on 7th and checking-out on 8th we will maximize guests who checked out on 8th but checked-in on 5th or 6th.
∴ 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 7th will have to check out on 8th.
Hence, option (b).
Workspace:
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 four or more days.
Till 9th total 158 guests check-in and all these 158 guests check-out till 10th.
∴ Only those guests who checked in on 5th or 6th 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:
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 9th total 158 guests check-in and all these 158 guests check-out till 10th.
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).
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:
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:
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:
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:
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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