CAT Exam  >  CAT Questions  >   In Grand Oberoi hotel, 1160 guests are prese... Start Learning for Free
In Grand Oberoi hotel, 1160 guests are present currently. The hotel provides the following extra facilities: Gym, Swimming, Fun park, Food. During a regular survey the management team of Oberoi noticed something quite extraordinary about the extra facilities provided by them. They noticed that for every person who uses ‘F’ no. of facilities, there are exactly 3 persons who uses at least (F − 7) no. of facilities, F = 2, 3, 4. They also found that the no. of persons who used no extra facilities is twice the no of person that used all the 4 facilities. Help the management team to find out how many persons used exactly 3 facilities.
  • a)
    40
  • b)
    60
  • c)
    80
  • d)
    100
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
In Grand Oberoi hotel, 1160 guests are present currently. The hotel p...
To find out how many persons used exactly 3 facilities, let's solve the problem step by step:

Step 1: Understanding the given information
- There are currently 1160 guests in the hotel.
- The hotel provides four extra facilities: Gym, Swimming, Fun park, and Food.
- For every person who uses 'F' no. of facilities, there are exactly 3 persons who use at least (F - 7) no. of facilities, where F = 2, 3, 4.
- The number of persons who used no extra facilities is twice the number of persons who used all 4 facilities.

Step 2: Let's assume the number of persons who used exactly 3 facilities as 'x'.

Step 3: Finding the number of persons who used 4 facilities
- From the given information, we know that the number of persons who used no extra facilities is twice the number of persons who used all 4 facilities.
- Let the number of persons who used all 4 facilities be 'y'.
- Therefore, the number of persons who used no extra facilities is 2y.

Step 4: Finding the number of persons who used 2 facilities and 3 facilities
- From the given information, for every person who uses 'F' no. of facilities, there are exactly 3 persons who use at least (F - 7) no. of facilities.
- Let's calculate the number of persons who used 2 facilities.
- For F = 2, the number of persons who used at least (F - 7) = 2 - 7 = -5, which is not possible.
- Hence, there are no persons who used 2 facilities.
- Let's calculate the number of persons who used 3 facilities.
- For F = 3, the number of persons who used at least (F - 7) = 3 - 7 = -4, which is not possible.
- Hence, there are no persons who used 3 facilities.

Step 5: Finding the number of persons who used 1 facility
- From the given information, for every person who uses 'F' no. of facilities, there are exactly 3 persons who use at least (F - 7) no. of facilities.
- Let's calculate the number of persons who used 1 facility.
- For F = 4, the number of persons who used at least (F - 7) = 4 - 7 = -3, which is not possible.
- Hence, there are no persons who used 1 facility.

Step 6: Calculating the number of persons who used no extra facilities
- From the given information, the number of persons who used no extra facilities is twice the number of persons who used all 4 facilities.
- Let the number of persons who used all 4 facilities be y.
- Therefore, the number of persons who used no extra facilities is 2y.

Step 7: Calculating the total number of persons
- From the given information, there are currently 1160 guests in the hotel.
- Therefore, the total number of persons is the sum of persons who used all 4 facilities, persons who used no extra facilities, and persons who used exactly 3 facilities.
- Total number of persons = y + 2y + x + 0 + 0 =
Free Test
Community Answer
In Grand Oberoi hotel, 1160 guests are present currently. The hotel p...
Since, for every person who uses 'F' no of facilities, there are exactly 3 person who uses atleast (F−1) no. of facilities. If we take the no. of persons who uses all the four facilities to be 'x' then the no. of person who uses atleast 3 facilities will be 3x and so on.
The No. of persons who use exactly 3 facilities = 3x − x = 2x
Thus, the no. of persons who opt for various facilities can be summarized as follows:
We also know that no of person who uses no facilities
= twice of those who uses all the 4 facilities =2x.
So according the above deductions we can clearly
see that the number of person the hotel would be
x + 2x + 6x + 18x + 2x = 29x = 1160
x = 40
Hence the number of person who uses exactly three
science = 2x = 80
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
Explore Courses for CAT exam

Top Courses for CAT

In Grand Oberoi hotel, 1160 guests are present currently. The hotel provides the following extra facilities: Gym, Swimming, Fun park, Food. During a regular survey the management team of Oberoi noticed something quite extraordinary about the extra facilities provided by them. They noticed that for every person who uses ‘F’ no. of facilities, there are exactly 3 persons who uses at least (F − 7) no. of facilities, F = 2, 3, 4. They also found that the no. of persons who used no extra facilities is twice the no of person that used all the 4 facilities. Help the management team to find out how many persons used exactly 3 facilities.a)40b)60c)80d)100Correct answer is option 'C'. Can you explain this answer?
Question Description
In Grand Oberoi hotel, 1160 guests are present currently. The hotel provides the following extra facilities: Gym, Swimming, Fun park, Food. During a regular survey the management team of Oberoi noticed something quite extraordinary about the extra facilities provided by them. They noticed that for every person who uses ‘F’ no. of facilities, there are exactly 3 persons who uses at least (F − 7) no. of facilities, F = 2, 3, 4. They also found that the no. of persons who used no extra facilities is twice the no of person that used all the 4 facilities. Help the management team to find out how many persons used exactly 3 facilities.a)40b)60c)80d)100Correct answer is option 'C'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about In Grand Oberoi hotel, 1160 guests are present currently. The hotel provides the following extra facilities: Gym, Swimming, Fun park, Food. During a regular survey the management team of Oberoi noticed something quite extraordinary about the extra facilities provided by them. They noticed that for every person who uses ‘F’ no. of facilities, there are exactly 3 persons who uses at least (F − 7) no. of facilities, F = 2, 3, 4. They also found that the no. of persons who used no extra facilities is twice the no of person that used all the 4 facilities. Help the management team to find out how many persons used exactly 3 facilities.a)40b)60c)80d)100Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In Grand Oberoi hotel, 1160 guests are present currently. The hotel provides the following extra facilities: Gym, Swimming, Fun park, Food. During a regular survey the management team of Oberoi noticed something quite extraordinary about the extra facilities provided by them. They noticed that for every person who uses ‘F’ no. of facilities, there are exactly 3 persons who uses at least (F − 7) no. of facilities, F = 2, 3, 4. They also found that the no. of persons who used no extra facilities is twice the no of person that used all the 4 facilities. Help the management team to find out how many persons used exactly 3 facilities.a)40b)60c)80d)100Correct answer is option 'C'. Can you explain this answer?.
Solutions for In Grand Oberoi hotel, 1160 guests are present currently. The hotel provides the following extra facilities: Gym, Swimming, Fun park, Food. During a regular survey the management team of Oberoi noticed something quite extraordinary about the extra facilities provided by them. They noticed that for every person who uses ‘F’ no. of facilities, there are exactly 3 persons who uses at least (F − 7) no. of facilities, F = 2, 3, 4. They also found that the no. of persons who used no extra facilities is twice the no of person that used all the 4 facilities. Help the management team to find out how many persons used exactly 3 facilities.a)40b)60c)80d)100Correct answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of In Grand Oberoi hotel, 1160 guests are present currently. The hotel provides the following extra facilities: Gym, Swimming, Fun park, Food. During a regular survey the management team of Oberoi noticed something quite extraordinary about the extra facilities provided by them. They noticed that for every person who uses ‘F’ no. of facilities, there are exactly 3 persons who uses at least (F − 7) no. of facilities, F = 2, 3, 4. They also found that the no. of persons who used no extra facilities is twice the no of person that used all the 4 facilities. Help the management team to find out how many persons used exactly 3 facilities.a)40b)60c)80d)100Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of In Grand Oberoi hotel, 1160 guests are present currently. The hotel provides the following extra facilities: Gym, Swimming, Fun park, Food. During a regular survey the management team of Oberoi noticed something quite extraordinary about the extra facilities provided by them. They noticed that for every person who uses ‘F’ no. of facilities, there are exactly 3 persons who uses at least (F − 7) no. of facilities, F = 2, 3, 4. They also found that the no. of persons who used no extra facilities is twice the no of person that used all the 4 facilities. Help the management team to find out how many persons used exactly 3 facilities.a)40b)60c)80d)100Correct answer is option 'C'. Can you explain this answer?, a detailed solution for In Grand Oberoi hotel, 1160 guests are present currently. The hotel provides the following extra facilities: Gym, Swimming, Fun park, Food. During a regular survey the management team of Oberoi noticed something quite extraordinary about the extra facilities provided by them. They noticed that for every person who uses ‘F’ no. of facilities, there are exactly 3 persons who uses at least (F − 7) no. of facilities, F = 2, 3, 4. They also found that the no. of persons who used no extra facilities is twice the no of person that used all the 4 facilities. Help the management team to find out how many persons used exactly 3 facilities.a)40b)60c)80d)100Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of In Grand Oberoi hotel, 1160 guests are present currently. The hotel provides the following extra facilities: Gym, Swimming, Fun park, Food. During a regular survey the management team of Oberoi noticed something quite extraordinary about the extra facilities provided by them. They noticed that for every person who uses ‘F’ no. of facilities, there are exactly 3 persons who uses at least (F − 7) no. of facilities, F = 2, 3, 4. They also found that the no. of persons who used no extra facilities is twice the no of person that used all the 4 facilities. Help the management team to find out how many persons used exactly 3 facilities.a)40b)60c)80d)100Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice In Grand Oberoi hotel, 1160 guests are present currently. The hotel provides the following extra facilities: Gym, Swimming, Fun park, Food. During a regular survey the management team of Oberoi noticed something quite extraordinary about the extra facilities provided by them. They noticed that for every person who uses ‘F’ no. of facilities, there are exactly 3 persons who uses at least (F − 7) no. of facilities, F = 2, 3, 4. They also found that the no. of persons who used no extra facilities is twice the no of person that used all the 4 facilities. Help the management team to find out how many persons used exactly 3 facilities.a)40b)60c)80d)100Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev