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Answer the following question based on the information given below.
A multiplex has the following types of seats available for each show:
The multiplex follows these rules while selling tickets:
1. Maximum number of tickets a customer can buy is five.
2. Tickets are sold to each customer in such a way that the cost is a multiple of hundred.
 
Q.Shruti was the 22nd customer to buy a ticket for a particular show. By the time she reached the counter, 60 tickets for the show had been sold and only 14 tickets of type B were left. Also each of the 21 customers had purchased at least one ticket of type B. Find the maximum number tickets of Type A could be still available if not a single type C ticket was sold?
    Correct answer is '14'. Can you explain this answer?
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    Answer the following question based on the information given below.A m...
    We have the following two constraints:
    1. The maximum number of tickets that a customer can buy is 5.
    2. Tickets are sold to each customer in such a way that the total cost is a multiple of hundred.
    Thus we can see that each of the 21 customers can buy tickets in the following ways only.
    As no type C tickets were sold, we can eliminate cases 2, 3, 6, 9 and 10.
    Also, as each of the customers had purchased at least one ticket of type B, we can eliminate case 7.
    Hence possible combinations are,
    Now, 21 people buy 26 tickets of type B. Hence no more than one person can buy the first combination of tickets.
    Hence two cases are possible,
    Case 1: No person buys the first combination.
    Case 2: Exactly one person buys tickets as in the first combination.
    Consider Case 1: As no person buys the first combination hence combinations
    2, 3, 4 and 5 in the table are possible.
    As 21 people buy 26 tickets hence the number of people buying 3rd and 5th combination is 5.
    The remaining 16 people will buy the 2nd and 4th combination.
    Let us assume that x tickets of type B and x tickets of type D were purchased in combinations 2 and 3.
    Let y tickets of type B and 2y tickets of type A be purchased in combination 4.
    Let z tickets of type B, z tickets of type A and z/2 tickets of type D be purchased in combination 5.
    Hence, x + y+ z = 26, and 2x + 3y + 5z/2 = 60 Now,
    2x + 3y + 5z/2 = 2(x + y + z) + y + z/2 = 52 + y + z/2 = 60
    Hence, y + z/2 = 8 2y + z = 16 Now, number of A type tickets sold are,
    2y + z
    Hence number of A type tickets left = 30 - 16 = 14 Consider case 2: 1 person buys the first combination.
    Hence remaining 20 persons buy tickets in the 2nd, 3rd, 4th or 5th combination.
    Let us assume that x tickets of type B and x tickets of type D were purchased in combinations 2 and 3.
    Let y tickets of type B and 2y tickets of type A be purchased in combination 4.
    Let z tickets of type B, z tickets of type A and z/2 tickets of type D be purchased in combination 5.
    Hence, x + y + z = 21, and 2x + 3y + 5z/2 = 55 Now,
    2x + 3y + 5z/2 = 2(x + y + z) + y + z/2 = 42 + y + z/2 = 55 
    Hence, y + z/2 = 13 2y + z = 26 Now, number of tickets of type A that are sold is 2y + z = 26 Hence number of A type tickets left = 30 - 26 = 4 Either 4 or 14 tickets of type A were still available.
    Answer: 14
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    Answer the following question based on the information given below.A m...
    We have the following two constraints:
    1. The maximum number of tickets that a customer can buy is 5.
    2. Tickets are sold to each customer in such a way that the total cost is a multiple of hundred.
    Thus we can see that each of the 21 customers can buy tickets in the following ways only.
    As no type C tickets were sold, we can eliminate cases 2, 3, 6, 9 and 10.
    Also, as each of the customers had purchased at least one ticket of type B, we can eliminate case 7.
    Hence possible combinations are,
    Now, 21 people buy 26 tickets of type B. Hence no more than one person can buy the first combination of tickets.
    Hence two cases are possible,
    Case 1: No person buys the first combination.
    Case 2: Exactly one person buys tickets as in the first combination.
    Consider Case 1: As no person buys the first combination hence combinations
    2, 3, 4 and 5 in the table are possible.
    As 21 people buy 26 tickets hence the number of people buying 3rd and 5th combination is 5.
    The remaining 16 people will buy the 2nd and 4th combination.
    Let us assume that x tickets of type B and x tickets of type D were purchased in combinations 2 and 3.
    Let y tickets of type B and 2y tickets of type A be purchased in combination 4.
    Let z tickets of type B, z tickets of type A and z/2 tickets of type D be purchased in combination 5.
    Hence, x + y+ z = 26, and 2x + 3y + 5z/2 = 60 Now,
    2x + 3y + 5z/2 = 2(x + y + z) + y + z/2 = 52 + y + z/2 = 60
    Hence, y + z/2 = 8 2y + z = 16 Now, number of A type tickets sold are,
    2y + z
    Hence number of A type tickets left = 30 - 16 = 14 Consider case 2: 1 person buys the first combination.
    Hence remaining 20 persons buy tickets in the 2nd, 3rd, 4th or 5th combination.
    Let us assume that x tickets of type B and x tickets of type D were purchased in combinations 2 and 3.
    Let y tickets of type B and 2y tickets of type A be purchased in combination 4.
    Let z tickets of type B, z tickets of type A and z/2 tickets of type D be purchased in combination 5.
    Hence, x + y + z = 21, and 2x + 3y + 5z/2 = 55 Now,
    2x + 3y + 5z/2 = 2(x + y + z) + y + z/2 = 42 + y + z/2 = 55 
    Hence, y + z/2 = 13 2y + z = 26 Now, number of tickets of type A that are sold is 2y + z = 26 Hence number of A type tickets left = 30 - 26 = 4 Either 4 or 14 tickets of type A were still available.
    Answer: 14
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    Solutions for Answer the following question based on the information given below.A multiplex has the following types of seats available for each show:The multiplex follows these rules while selling tickets:1. Maximum number of tickets a customer can buy is five.2. Tickets are sold to each customer in such a way that the cost is a multiple of hundred.Q.Shruti was the 22nd customer to buy a ticket for a particular show. By the time she reached the counter, 60 tickets for the show had been sold and only 14 tickets of type B were left. Also each of the 21 customers had purchased at least one ticket of type B. Find the maximum number tickets of Type A could be still available if not a single type C ticket was sold?Correct answer is '14'. 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 Answer the following question based on the information given below.A multiplex has the following types of seats available for each show:The multiplex follows these rules while selling tickets:1. Maximum number of tickets a customer can buy is five.2. Tickets are sold to each customer in such a way that the cost is a multiple of hundred.Q.Shruti was the 22nd customer to buy a ticket for a particular show. By the time she reached the counter, 60 tickets for the show had been sold and only 14 tickets of type B were left. Also each of the 21 customers had purchased at least one ticket of type B. Find the maximum number tickets of Type A could be still available if not a single type C ticket was sold?Correct answer is '14'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Answer the following question based on the information given below.A multiplex has the following types of seats available for each show:The multiplex follows these rules while selling tickets:1. Maximum number of tickets a customer can buy is five.2. Tickets are sold to each customer in such a way that the cost is a multiple of hundred.Q.Shruti was the 22nd customer to buy a ticket for a particular show. By the time she reached the counter, 60 tickets for the show had been sold and only 14 tickets of type B were left. Also each of the 21 customers had purchased at least one ticket of type B. Find the maximum number tickets of Type A could be still available if not a single type C ticket was sold?Correct answer is '14'. Can you explain this answer?, a detailed solution for Answer the following question based on the information given below.A multiplex has the following types of seats available for each show:The multiplex follows these rules while selling tickets:1. Maximum number of tickets a customer can buy is five.2. Tickets are sold to each customer in such a way that the cost is a multiple of hundred.Q.Shruti was the 22nd customer to buy a ticket for a particular show. By the time she reached the counter, 60 tickets for the show had been sold and only 14 tickets of type B were left. Also each of the 21 customers had purchased at least one ticket of type B. Find the maximum number tickets of Type A could be still available if not a single type C ticket was sold?Correct answer is '14'. Can you explain this answer? has been provided alongside types of Answer the following question based on the information given below.A multiplex has the following types of seats available for each show:The multiplex follows these rules while selling tickets:1. Maximum number of tickets a customer can buy is five.2. Tickets are sold to each customer in such a way that the cost is a multiple of hundred.Q.Shruti was the 22nd customer to buy a ticket for a particular show. By the time she reached the counter, 60 tickets for the show had been sold and only 14 tickets of type B were left. Also each of the 21 customers had purchased at least one ticket of type B. Find the maximum number tickets of Type A could be still available if not a single type C ticket was sold?Correct answer is '14'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Answer the following question based on the information given below.A multiplex has the following types of seats available for each show:The multiplex follows these rules while selling tickets:1. Maximum number of tickets a customer can buy is five.2. Tickets are sold to each customer in such a way that the cost is a multiple of hundred.Q.Shruti was the 22nd customer to buy a ticket for a particular show. By the time she reached the counter, 60 tickets for the show had been sold and only 14 tickets of type B were left. Also each of the 21 customers had purchased at least one ticket of type B. Find the maximum number tickets of Type A could be still available if not a single type C ticket was sold?Correct answer is '14'. Can you explain this answer? tests, examples and also practice CAT tests.
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