Data set 1: The Lagoon Hotel
Posted by Superadmin on December 09 2015 10:12:07
Data set 1: The Lagoon Hotel
Guests staying at the Lagoon Hotel choose a two- or five-day package and select on either package either accommodation only, half board or full board. On one evening the hotel has a total of 48 guests, 17 of whom have chosen the two-day package. Of the remaining guests (on the five-day package), 16 have opted for accommodation only while 3 have selected half board.
Additional information:
• That night a total of 21 guests had selected accommodation only.
• In total, 20 guests have selected full board.
1. On the evening in question, how many guests had selected the five-day package?
A 28
B 29
C 30
D 31
Answer ( )
2. How many guests staying in the hotel that evening on the five-day package had selected full board?
A 12
B 19
C 20
D 21
Answer ( )
3. How many guests on the two-day package had selected accommodation only?
A 5
B 17
C 21
D There is insufficient information to answer the question.
Answer ( )
4. Of the guests who had selected full board, how many were on the two-day package?
A 1
B 8
C 11
D 19
Answer ( )
5. In total, how many guests that evening had selected half board?
A 3
B 5
C 7
D 9
Answer ( )
6. How many guests on the two-day package selected half board?
A 8
B 5
C 4
D 2
Answer ( )
7. Which statement is true?
A On the five-day package twice as many people are half board compared to full board.
B On the two-day package twice as many people are half board compared to full board.
C On the five-day package half as many people are on half board compared to full board.
D On the two-day package half as many people are on half board compared to full board.
Answer ( )
8. How many people on the two-day package are NOT on full board?
A 8
B 9
C 10
D 11
Answer ( )
9. Which is the most popular option?
A Accommodation only on the five-day package
B Full board on the five-day package
C Full board on the two-day package
D Half board on the two-day package
Answer ( )
10. What fraction of the total number of guests opted for full board on the five-day package?
A 1/2
B 1/5
C 1/3
D 1/4 Answer ( )
Data set 1
1. Answer D, 31
In every test, scratch or scrap paper is provided and this sort of question is so much easier to answer if you construct a table and enter the given information. Below is a table representing the various categories and completed with the information given in the passage and additional information.
Explanation: We are told that there are 48 guests, 17 of whom are on the two-day package. To find the number of guests on the five-day package we simple subtract 17 from 48 to arrive at 31.
2. Answer A, 12
Explanation: From the previous question we established that 31 guests were staying on the five-day package and we are told that 16 had opted for accommodation only and a further 3 for half board. We can calculate from this that 19 opted for accommodation only or half board and that the remaining 12 chose full board.
3. Answer A, 5
Explanation: Using point 1 of the additional information and the information contained in the original set, we know that of the 21 people who selected accommodation only, 16 were on the five day package, which leaves 5 on the two-day package who opted for accommodation only.
4. Answer B, 8
Explanation: We are informed that 12 people on the five-day package selected full board and that a total of 20 guests were full board. This means that 8 people on the two-day package selected full board.
5. Answer C, 7
Explanation: We are told that there were a total of 48 guests and that 20 were on full board. This must mean that the remaining 7 guests were half board.
6. Answer C, 4
Explanation: In the last question it was established that a total of 7 guests were half board and we are told that 3 on the five-day package are half board. We can calculate therefore that 4 (7 – 3)
of the guests on the two-day package are half board.
7. Answer D, On the two-day package half as many people are on half board compared to full board
Explanation: On the two-day package 4 people are on half board and 8 on full board (on the five-day package 3 are on half board and 12 on full board). This means that the only true statement is D.
8. Answer B, 9
Explanation: We have previously calculated that on the two-day package 5 people are on accommodation only and 4 are on half board. This gives us a total of 9.
9. Answer A, Accommodation only on the five-day package
Explanation: 16 of the total number of guests opted for accommodation only on the five-day package; the next most popular option was the 12 guests who opted for full board on the five-day package.
10. Answer D, 1/4
Explanation: The total number of guests is 48 and 12 of these opted for full board on the five-day package; 12 as a fraction of 48 cancels down to 1/4.