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Instructions
Comprehension:
A new game show on TV has 100 boxes numbered 1, 2, . . . , 100 in a row, each containing a mystery prize. The prizes are items of different types, a, b, c, . . . , in decreasing order of value. The most expensive item is of type a, a diamond ring, and there is exactly one of these. You are told that the number of items at least doubles as you move to the next type. For example, there would be at least twice as many items of type b as of type a, at least twice as many items of type c as of type b and so on. There is no particular order in which the prizes are placed in the boxes.
Q. What is the minimum possible number of different types of prizes?
Correct answer is '2'. Can you explain this answer?
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InstructionsComprehension:A new game show on TV has 100 boxes numbered...
It is given that the most expensive item is a diamond ring of type a and there is exactly one of these. Since the item b should be at least twice. The minimum number of items will be obtained when a=1 and b=99, which means there are only two different types of items.
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InstructionsComprehension:A new game show on TV has 100 boxes numbered...
Minimum Possible Number of Different Types of Prizes
The minimum possible number of different types of prizes in the game show can be deduced from the information provided:

1. Most Expensive Item
- The most expensive item is a diamond ring, which is of type a.
- There is exactly one diamond ring in the 100 boxes.

2. Doubling of Items
- The number of items at least doubles as you move to the next type.
- For example, there are at least twice as many items of type b as of type a, at least twice as many items of type c as of type b, and so on.

3. Minimum Number of Different Types
- Since the prizes are placed in a row of 100 boxes and the number of items at least doubles with each type, the minimum possible number of different types of prizes is 2.
- This means that there are at least two types of prizes: type a (diamond ring) and another type (such as b).
Therefore, based on the given conditions, the minimum possible number of different types of prizes in the game show is 2.
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InstructionsComprehension:A new game show on TV has 100 boxes numbered 1, 2, . . . , 100 in a row, each containing a mystery prize. The prizes are items of different types, a, b, c, . . . , in decreasing order of value. The most expensive item is of type a, a diamond ring, and there is exactly one of these. You are told that the number of items at least doubles as you move to the next type. For example, there would be at least twice as many items of type b as of type a, at least twice as many items of type c as of type b and so on. There is no particular order in which the prizes are placed in the boxes.Q.What is the minimum possible number of different types of prizes?Correct answer is '2'. Can you explain this answer?
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InstructionsComprehension:A new game show on TV has 100 boxes numbered 1, 2, . . . , 100 in a row, each containing a mystery prize. The prizes are items of different types, a, b, c, . . . , in decreasing order of value. The most expensive item is of type a, a diamond ring, and there is exactly one of these. You are told that the number of items at least doubles as you move to the next type. For example, there would be at least twice as many items of type b as of type a, at least twice as many items of type c as of type b and so on. There is no particular order in which the prizes are placed in the boxes.Q.What is the minimum possible number of different types of prizes?Correct answer is '2'. 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 InstructionsComprehension:A new game show on TV has 100 boxes numbered 1, 2, . . . , 100 in a row, each containing a mystery prize. The prizes are items of different types, a, b, c, . . . , in decreasing order of value. The most expensive item is of type a, a diamond ring, and there is exactly one of these. You are told that the number of items at least doubles as you move to the next type. For example, there would be at least twice as many items of type b as of type a, at least twice as many items of type c as of type b and so on. There is no particular order in which the prizes are placed in the boxes.Q.What is the minimum possible number of different types of prizes?Correct answer is '2'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for InstructionsComprehension:A new game show on TV has 100 boxes numbered 1, 2, . . . , 100 in a row, each containing a mystery prize. The prizes are items of different types, a, b, c, . . . , in decreasing order of value. The most expensive item is of type a, a diamond ring, and there is exactly one of these. You are told that the number of items at least doubles as you move to the next type. For example, there would be at least twice as many items of type b as of type a, at least twice as many items of type c as of type b and so on. There is no particular order in which the prizes are placed in the boxes.Q.What is the minimum possible number of different types of prizes?Correct answer is '2'. Can you explain this answer?.
Solutions for InstructionsComprehension:A new game show on TV has 100 boxes numbered 1, 2, . . . , 100 in a row, each containing a mystery prize. The prizes are items of different types, a, b, c, . . . , in decreasing order of value. The most expensive item is of type a, a diamond ring, and there is exactly one of these. You are told that the number of items at least doubles as you move to the next type. For example, there would be at least twice as many items of type b as of type a, at least twice as many items of type c as of type b and so on. There is no particular order in which the prizes are placed in the boxes.Q.What is the minimum possible number of different types of prizes?Correct answer is '2'. 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.
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