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Instructions
Each visitor to an amusement park needs to buy a ticket. Tickets can be Platinum, Gold, or Economy. Visitors are classified as Old, Middle-aged, or Young. The following facts are known about visitors and ticket sales on a particular day:
1. 140 tickets were sold.
2. The number of Middle-aged visitors was twice the number of Old visitors, while the number of Young visitors was twice the number of Middle-aged visitors.
3. Young visitors bought 38 of the 55 Economy tickets that were sold, and they bought half the total number of Platinum tickets that were sold.
4. The number of Gold tickets bought by Old visitors was equal to the number of Economy tickets bought by Old visitors.
Q. Which of the following statements MUST be FALSE?
Each visitor to an amusement park needs to buy a ticket. Tickets can be Platinum, Gold, or Economy. Visitors are classified as Old, Middle-aged, or Young. The following facts are known about visitors and ticket sales on a particular day:
1. 140 tickets were sold.
2. The number of Middle-aged visitors was twice the number of Old visitors, while the number of Young visitors was twice the number of Middle-aged visitors.
3. Young visitors bought 38 of the 55 Economy tickets that were sold, and they bought half the total number of Platinum tickets that were sold.
4. The number of Gold tickets bought by Old visitors was equal to the number of Economy tickets bought by Old visitors.
Q. Which of the following statements MUST be FALSE?
- a)The numbers of Gold and Platinum tickets bought by Young visitors were equal
- b)The numbers of Middle-aged and Young visitors buying Gold tickets were equal
- c)The numbers of Old and Middle-aged visitors buying Platinum tickets were equal
- d)The numbers of Old and Middle-aged visitors buying Economy tickets were equal
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
InstructionsEach visitor to an amusement park needs to buy a ticket. T...
Let 'x' be the the number of Old visitors. Then, the number of middle-aged visitors = 2x.
Also, the number of Young visitors = 2*2x = 4x
⇒ x+2x+4x = 140
⇒ x = 20
It is given that total of 55 Economy tickets were sold out.
It is given that Young visitors half the total number of Platinum tickets that were sold.
Let 'Y' be the number of Platinum tickets bought by the Young visitors.
Then,the number of Platinum tickets sold = 2Y.
Consequently, we can say that the number of Gold tickets sold = 140 - 55 - 2Y = 85 - 2Y.
Let us assume that 'Z' is the number of Economy tickets bought by the Old visitors. It is given that the number of Gold tickets bought by Old visitors was equal to the number of Economy tickets bought by Old visitors.
Let us check with the help of options.
Option (A): The numbers of Gold and Platinum tickets bought by Young visitors were equal.
Y = 42 - Y
⇒ Y = 21. Hence, this statement can be true.
Option (B): The numbers of Middle-aged and Young visitors buying Gold tickets were equal
43 - (Y+Z) = 42 - Y
⇒ Z = 1. Hence, this statement can be true.
Option (C): The numbers of Old and Middle-aged visitors buying Platinum tickets were equal 20 - 2Z = (Y+2Z) - 20
⇒ Y+4Z = 40. Hence, this statement can be true.
Option (D): The numbers of Old and Middle-aged visitors buying Economy tickets were equal Z = 17 - Z
⇒ Z = 8.5. This is not possible as Z has to be an integer. Hence, we can say that this statement is false.
Also, the number of Young visitors = 2*2x = 4x
⇒ x+2x+4x = 140
⇒ x = 20
It is given that total of 55 Economy tickets were sold out.
It is given that Young visitors half the total number of Platinum tickets that were sold.
Let 'Y' be the number of Platinum tickets bought by the Young visitors.
Then,the number of Platinum tickets sold = 2Y.
Consequently, we can say that the number of Gold tickets sold = 140 - 55 - 2Y = 85 - 2Y.
Let us assume that 'Z' is the number of Economy tickets bought by the Old visitors. It is given that the number of Gold tickets bought by Old visitors was equal to the number of Economy tickets bought by Old visitors.
Let us check with the help of options.
Option (A): The numbers of Gold and Platinum tickets bought by Young visitors were equal.
Y = 42 - Y
⇒ Y = 21. Hence, this statement can be true.
Option (B): The numbers of Middle-aged and Young visitors buying Gold tickets were equal
43 - (Y+Z) = 42 - Y
⇒ Z = 1. Hence, this statement can be true.
Option (C): The numbers of Old and Middle-aged visitors buying Platinum tickets were equal 20 - 2Z = (Y+2Z) - 20
⇒ Y+4Z = 40. Hence, this statement can be true.
Option (D): The numbers of Old and Middle-aged visitors buying Economy tickets were equal Z = 17 - Z
⇒ Z = 8.5. This is not possible as Z has to be an integer. Hence, we can say that this statement is false.
Most Upvoted Answer
InstructionsEach visitor to an amusement park needs to buy a ticket. T...
Understanding Visitor Categories
- Total tickets sold: 140
- Visitor classification:
- Old: O
- Middle-aged: M
- Young: Y
- Relationships:
- M = 2O (Middle-aged visitors are twice Old)
- Y = 2M = 4O (Young visitors are four times Old)
Ticket Sales Breakdown
- Total Economy tickets sold: 55
- Young visitors bought 38 of the 55 Economy tickets.
- Young visitors bought half of the total Platinum tickets sold, denoted as P.
- Old visitors bought an equal number of Gold (G) and Economy tickets.
Analyzing Ticket Purchases
- Total Economy tickets:
- Young (Y) = 38
- Remaining Economy tickets bought by Old (O): 55 - 38 = 17
- Therefore, Old bought 17 Economy tickets and 17 Gold tickets.
Visitor Counts
- Let O = Number of Old visitors.
- M = 2O, Y = 4O.
- Total visitors: O + 2O + 4O = 7O.
- From the total of 140 tickets, let’s estimate:
- If Old = O, then total visitors = 7O = 140 → O = 20.
- M = 40, Y = 80.
Evaluating False Statements
Now, let's analyze the options:
- a) Young buying Gold = Young buying Platinum: Possible.
- b) Middle-aged buying Gold = Young buying Gold: Possible.
- c) Old buying Platinum = Middle-aged buying Platinum: Possible.
- d) Old buying Economy = Middle-aged buying Economy: Must be FALSE.
Conclusion
- Old visitors bought 17 Economy tickets while Middle-aged visitors, with their ticket breakdown, likely bought a different number due to the established ratios.
- Therefore, statement D is the only option that must be false, as it contradicts the established visitor and ticket buying patterns.
- Total tickets sold: 140
- Visitor classification:
- Old: O
- Middle-aged: M
- Young: Y
- Relationships:
- M = 2O (Middle-aged visitors are twice Old)
- Y = 2M = 4O (Young visitors are four times Old)
Ticket Sales Breakdown
- Total Economy tickets sold: 55
- Young visitors bought 38 of the 55 Economy tickets.
- Young visitors bought half of the total Platinum tickets sold, denoted as P.
- Old visitors bought an equal number of Gold (G) and Economy tickets.
Analyzing Ticket Purchases
- Total Economy tickets:
- Young (Y) = 38
- Remaining Economy tickets bought by Old (O): 55 - 38 = 17
- Therefore, Old bought 17 Economy tickets and 17 Gold tickets.
Visitor Counts
- Let O = Number of Old visitors.
- M = 2O, Y = 4O.
- Total visitors: O + 2O + 4O = 7O.
- From the total of 140 tickets, let’s estimate:
- If Old = O, then total visitors = 7O = 140 → O = 20.
- M = 40, Y = 80.
Evaluating False Statements
Now, let's analyze the options:
- a) Young buying Gold = Young buying Platinum: Possible.
- b) Middle-aged buying Gold = Young buying Gold: Possible.
- c) Old buying Platinum = Middle-aged buying Platinum: Possible.
- d) Old buying Economy = Middle-aged buying Economy: Must be FALSE.
Conclusion
- Old visitors bought 17 Economy tickets while Middle-aged visitors, with their ticket breakdown, likely bought a different number due to the established ratios.
- Therefore, statement D is the only option that must be false, as it contradicts the established visitor and ticket buying patterns.
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InstructionsEach visitor to an amusement park needs to buy a ticket. Tickets can be Platinum, Gold, or Economy. Visitors are classified as Old, Middle-aged, or Young. The following facts are known about visitors and ticket sales on a particular day:1. 140 tickets were sold.2. The number of Middle-aged visitors was twice the number of Old visitors, while the number of Young visitors was twice the number of Middle-aged visitors.3. Young visitors bought 38 of the 55 Economy tickets that were sold, and they bought half the total number of Platinum tickets that were sold.4. The number of Gold tickets bought by Old visitors was equal to the number of Economy tickets bought by Old visitors.Q.Which of the following statements MUST be FALSE?a)The numbers of Gold and Platinum tickets bought by Young visitors were equalb)The numbers of Middle-aged and Young visitors buying Gold tickets were equalc)The numbers of Old and Middle-aged visitors buying Platinum tickets were equald)The numbers of Old and Middle-aged visitors buying Economy tickets were equalCorrect answer is option 'D'. Can you explain this answer?
Question Description
InstructionsEach visitor to an amusement park needs to buy a ticket. Tickets can be Platinum, Gold, or Economy. Visitors are classified as Old, Middle-aged, or Young. The following facts are known about visitors and ticket sales on a particular day:1. 140 tickets were sold.2. The number of Middle-aged visitors was twice the number of Old visitors, while the number of Young visitors was twice the number of Middle-aged visitors.3. Young visitors bought 38 of the 55 Economy tickets that were sold, and they bought half the total number of Platinum tickets that were sold.4. The number of Gold tickets bought by Old visitors was equal to the number of Economy tickets bought by Old visitors.Q.Which of the following statements MUST be FALSE?a)The numbers of Gold and Platinum tickets bought by Young visitors were equalb)The numbers of Middle-aged and Young visitors buying Gold tickets were equalc)The numbers of Old and Middle-aged visitors buying Platinum tickets were equald)The numbers of Old and Middle-aged visitors buying Economy tickets were equalCorrect answer is option 'D'. 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 InstructionsEach visitor to an amusement park needs to buy a ticket. Tickets can be Platinum, Gold, or Economy. Visitors are classified as Old, Middle-aged, or Young. The following facts are known about visitors and ticket sales on a particular day:1. 140 tickets were sold.2. The number of Middle-aged visitors was twice the number of Old visitors, while the number of Young visitors was twice the number of Middle-aged visitors.3. Young visitors bought 38 of the 55 Economy tickets that were sold, and they bought half the total number of Platinum tickets that were sold.4. The number of Gold tickets bought by Old visitors was equal to the number of Economy tickets bought by Old visitors.Q.Which of the following statements MUST be FALSE?a)The numbers of Gold and Platinum tickets bought by Young visitors were equalb)The numbers of Middle-aged and Young visitors buying Gold tickets were equalc)The numbers of Old and Middle-aged visitors buying Platinum tickets were equald)The numbers of Old and Middle-aged visitors buying Economy tickets were equalCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for InstructionsEach visitor to an amusement park needs to buy a ticket. Tickets can be Platinum, Gold, or Economy. Visitors are classified as Old, Middle-aged, or Young. The following facts are known about visitors and ticket sales on a particular day:1. 140 tickets were sold.2. The number of Middle-aged visitors was twice the number of Old visitors, while the number of Young visitors was twice the number of Middle-aged visitors.3. Young visitors bought 38 of the 55 Economy tickets that were sold, and they bought half the total number of Platinum tickets that were sold.4. The number of Gold tickets bought by Old visitors was equal to the number of Economy tickets bought by Old visitors.Q.Which of the following statements MUST be FALSE?a)The numbers of Gold and Platinum tickets bought by Young visitors were equalb)The numbers of Middle-aged and Young visitors buying Gold tickets were equalc)The numbers of Old and Middle-aged visitors buying Platinum tickets were equald)The numbers of Old and Middle-aged visitors buying Economy tickets were equalCorrect answer is option 'D'. Can you explain this answer?.
InstructionsEach visitor to an amusement park needs to buy a ticket. Tickets can be Platinum, Gold, or Economy. Visitors are classified as Old, Middle-aged, or Young. The following facts are known about visitors and ticket sales on a particular day:1. 140 tickets were sold.2. The number of Middle-aged visitors was twice the number of Old visitors, while the number of Young visitors was twice the number of Middle-aged visitors.3. Young visitors bought 38 of the 55 Economy tickets that were sold, and they bought half the total number of Platinum tickets that were sold.4. The number of Gold tickets bought by Old visitors was equal to the number of Economy tickets bought by Old visitors.Q.Which of the following statements MUST be FALSE?a)The numbers of Gold and Platinum tickets bought by Young visitors were equalb)The numbers of Middle-aged and Young visitors buying Gold tickets were equalc)The numbers of Old and Middle-aged visitors buying Platinum tickets were equald)The numbers of Old and Middle-aged visitors buying Economy tickets were equalCorrect answer is option 'D'. 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 InstructionsEach visitor to an amusement park needs to buy a ticket. Tickets can be Platinum, Gold, or Economy. Visitors are classified as Old, Middle-aged, or Young. The following facts are known about visitors and ticket sales on a particular day:1. 140 tickets were sold.2. The number of Middle-aged visitors was twice the number of Old visitors, while the number of Young visitors was twice the number of Middle-aged visitors.3. Young visitors bought 38 of the 55 Economy tickets that were sold, and they bought half the total number of Platinum tickets that were sold.4. The number of Gold tickets bought by Old visitors was equal to the number of Economy tickets bought by Old visitors.Q.Which of the following statements MUST be FALSE?a)The numbers of Gold and Platinum tickets bought by Young visitors were equalb)The numbers of Middle-aged and Young visitors buying Gold tickets were equalc)The numbers of Old and Middle-aged visitors buying Platinum tickets were equald)The numbers of Old and Middle-aged visitors buying Economy tickets were equalCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for InstructionsEach visitor to an amusement park needs to buy a ticket. Tickets can be Platinum, Gold, or Economy. Visitors are classified as Old, Middle-aged, or Young. The following facts are known about visitors and ticket sales on a particular day:1. 140 tickets were sold.2. The number of Middle-aged visitors was twice the number of Old visitors, while the number of Young visitors was twice the number of Middle-aged visitors.3. Young visitors bought 38 of the 55 Economy tickets that were sold, and they bought half the total number of Platinum tickets that were sold.4. The number of Gold tickets bought by Old visitors was equal to the number of Economy tickets bought by Old visitors.Q.Which of the following statements MUST be FALSE?a)The numbers of Gold and Platinum tickets bought by Young visitors were equalb)The numbers of Middle-aged and Young visitors buying Gold tickets were equalc)The numbers of Old and Middle-aged visitors buying Platinum tickets were equald)The numbers of Old and Middle-aged visitors buying Economy tickets were equalCorrect answer is option 'D'. Can you explain this answer?.
Solutions for InstructionsEach visitor to an amusement park needs to buy a ticket. Tickets can be Platinum, Gold, or Economy. Visitors are classified as Old, Middle-aged, or Young. The following facts are known about visitors and ticket sales on a particular day:1. 140 tickets were sold.2. The number of Middle-aged visitors was twice the number of Old visitors, while the number of Young visitors was twice the number of Middle-aged visitors.3. Young visitors bought 38 of the 55 Economy tickets that were sold, and they bought half the total number of Platinum tickets that were sold.4. The number of Gold tickets bought by Old visitors was equal to the number of Economy tickets bought by Old visitors.Q.Which of the following statements MUST be FALSE?a)The numbers of Gold and Platinum tickets bought by Young visitors were equalb)The numbers of Middle-aged and Young visitors buying Gold tickets were equalc)The numbers of Old and Middle-aged visitors buying Platinum tickets were equald)The numbers of Old and Middle-aged visitors buying Economy tickets were equalCorrect answer is option 'D'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT.
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Here you can find the meaning of InstructionsEach visitor to an amusement park needs to buy a ticket. Tickets can be Platinum, Gold, or Economy. Visitors are classified as Old, Middle-aged, or Young. The following facts are known about visitors and ticket sales on a particular day:1. 140 tickets were sold.2. The number of Middle-aged visitors was twice the number of Old visitors, while the number of Young visitors was twice the number of Middle-aged visitors.3. Young visitors bought 38 of the 55 Economy tickets that were sold, and they bought half the total number of Platinum tickets that were sold.4. The number of Gold tickets bought by Old visitors was equal to the number of Economy tickets bought by Old visitors.Q.Which of the following statements MUST be FALSE?a)The numbers of Gold and Platinum tickets bought by Young visitors were equalb)The numbers of Middle-aged and Young visitors buying Gold tickets were equalc)The numbers of Old and Middle-aged visitors buying Platinum tickets were equald)The numbers of Old and Middle-aged visitors buying Economy tickets were equalCorrect answer is option 'D'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
InstructionsEach visitor to an amusement park needs to buy a ticket. Tickets can be Platinum, Gold, or Economy. Visitors are classified as Old, Middle-aged, or Young. The following facts are known about visitors and ticket sales on a particular day:1. 140 tickets were sold.2. The number of Middle-aged visitors was twice the number of Old visitors, while the number of Young visitors was twice the number of Middle-aged visitors.3. Young visitors bought 38 of the 55 Economy tickets that were sold, and they bought half the total number of Platinum tickets that were sold.4. The number of Gold tickets bought by Old visitors was equal to the number of Economy tickets bought by Old visitors.Q.Which of the following statements MUST be FALSE?a)The numbers of Gold and Platinum tickets bought by Young visitors were equalb)The numbers of Middle-aged and Young visitors buying Gold tickets were equalc)The numbers of Old and Middle-aged visitors buying Platinum tickets were equald)The numbers of Old and Middle-aged visitors buying Economy tickets were equalCorrect answer is option 'D'. Can you explain this answer?, a detailed solution for InstructionsEach visitor to an amusement park needs to buy a ticket. Tickets can be Platinum, Gold, or Economy. Visitors are classified as Old, Middle-aged, or Young. The following facts are known about visitors and ticket sales on a particular day:1. 140 tickets were sold.2. The number of Middle-aged visitors was twice the number of Old visitors, while the number of Young visitors was twice the number of Middle-aged visitors.3. Young visitors bought 38 of the 55 Economy tickets that were sold, and they bought half the total number of Platinum tickets that were sold.4. The number of Gold tickets bought by Old visitors was equal to the number of Economy tickets bought by Old visitors.Q.Which of the following statements MUST be FALSE?a)The numbers of Gold and Platinum tickets bought by Young visitors were equalb)The numbers of Middle-aged and Young visitors buying Gold tickets were equalc)The numbers of Old and Middle-aged visitors buying Platinum tickets were equald)The numbers of Old and Middle-aged visitors buying Economy tickets were equalCorrect answer is option 'D'. Can you explain this answer? has been provided alongside types of InstructionsEach visitor to an amusement park needs to buy a ticket. Tickets can be Platinum, Gold, or Economy. Visitors are classified as Old, Middle-aged, or Young. The following facts are known about visitors and ticket sales on a particular day:1. 140 tickets were sold.2. The number of Middle-aged visitors was twice the number of Old visitors, while the number of Young visitors was twice the number of Middle-aged visitors.3. Young visitors bought 38 of the 55 Economy tickets that were sold, and they bought half the total number of Platinum tickets that were sold.4. The number of Gold tickets bought by Old visitors was equal to the number of Economy tickets bought by Old visitors.Q.Which of the following statements MUST be FALSE?a)The numbers of Gold and Platinum tickets bought by Young visitors were equalb)The numbers of Middle-aged and Young visitors buying Gold tickets were equalc)The numbers of Old and Middle-aged visitors buying Platinum tickets were equald)The numbers of Old and Middle-aged visitors buying Economy tickets were equalCorrect answer is option 'D'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice InstructionsEach visitor to an amusement park needs to buy a ticket. Tickets can be Platinum, Gold, or Economy. Visitors are classified as Old, Middle-aged, or Young. The following facts are known about visitors and ticket sales on a particular day:1. 140 tickets were sold.2. The number of Middle-aged visitors was twice the number of Old visitors, while the number of Young visitors was twice the number of Middle-aged visitors.3. Young visitors bought 38 of the 55 Economy tickets that were sold, and they bought half the total number of Platinum tickets that were sold.4. The number of Gold tickets bought by Old visitors was equal to the number of Economy tickets bought by Old visitors.Q.Which of the following statements MUST be FALSE?a)The numbers of Gold and Platinum tickets bought by Young visitors were equalb)The numbers of Middle-aged and Young visitors buying Gold tickets were equalc)The numbers of Old and Middle-aged visitors buying Platinum tickets were equald)The numbers of Old and Middle-aged visitors buying Economy tickets were equalCorrect answer is option 'D'. Can you explain this answer? tests, examples and also practice CAT tests.
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