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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.
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. Which of the following is not possible?
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.
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. Which of the following is not possible?
- a)There are exactly 75 items of type e.
- b)There are exactly 30 items of type b.
- c)There are exactly 45 items of type c.
- d)There are exactly 60 items of type d.
Correct answer is option 'C'. Can you explain this answer?
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Comprehension:A new game show on TV has 100 boxes numbered 1, 2, . . ....
- Option A: There are exactly 75 items of type e.
a = 1, b = 2, c = 4, d = 8, e = 85. Here the maximum value of e= 85. Hence it can take the value 75.
An example of such case is a=1,b=2,c=4,d=18, e=75 - Option B: There are exactly 30 items of type b.
a=1 b=30 and c=69. Hence this case is also possible. - Option C: There are exactly 45 items of type c.
Since the value of d should be at least 90, it means that d is not present because 45+90 will be more than 100(maximum number of items). Only a,b and c are present.
The maximum value of b = 22 and a =1, but 45+22+1=68, which is less than 100. So this case is not possible. - Option D: There are exactly 60 items of type d.
d = 60, c = 30, b = 9 and a = 1. a + b + c + d = 100. Hence this case is possible.
C is the answer.
Most Upvoted Answer
Comprehension:A new game show on TV has 100 boxes numbered 1, 2, . . ....
Explanation:
To determine which of the given options is not possible, we need to analyze the information provided in the question.
The most important information is that the number of items at least doubles as we move to the next type. This means that for each type, there will be at least twice as many items as the previous type. Let's analyze each option:
a) There are exactly 75 items of type e:
If there are exactly 75 items of type e, then the number of items of type d would need to be at least half of that, which is 37.5. However, since the number of items must be a whole number, it is not possible to have exactly 37.5 items of type d. Therefore, option a) is possible.
b) There are exactly 30 items of type b:
If there are exactly 30 items of type b, then the number of items of type a would need to be at least half of that, which is 15. Since there is exactly one item of type a (diamond ring), it is not possible to have exactly 30 items of type b. Therefore, option b) is not possible.
c) There are exactly 45 items of type c:
If there are exactly 45 items of type c, then the number of items of type b would need to be at least half of that, which is 22.5. Since the number of items must be a whole number, it is not possible to have exactly 22.5 items of type b. Therefore, option c) is not possible.
d) There are exactly 60 items of type d:
If there are exactly 60 items of type d, then the number of items of type c would need to be at least half of that, which is 30. Since there is exactly one item of type c, it is not possible to have exactly 60 items of type d. Therefore, option d) is not possible.
Conclusion:
Based on the analysis, the option that is not possible is c) There are exactly 45 items of type c.
To determine which of the given options is not possible, we need to analyze the information provided in the question.
The most important information is that the number of items at least doubles as we move to the next type. This means that for each type, there will be at least twice as many items as the previous type. Let's analyze each option:
a) There are exactly 75 items of type e:
If there are exactly 75 items of type e, then the number of items of type d would need to be at least half of that, which is 37.5. However, since the number of items must be a whole number, it is not possible to have exactly 37.5 items of type d. Therefore, option a) is possible.
b) There are exactly 30 items of type b:
If there are exactly 30 items of type b, then the number of items of type a would need to be at least half of that, which is 15. Since there is exactly one item of type a (diamond ring), it is not possible to have exactly 30 items of type b. Therefore, option b) is not possible.
c) There are exactly 45 items of type c:
If there are exactly 45 items of type c, then the number of items of type b would need to be at least half of that, which is 22.5. Since the number of items must be a whole number, it is not possible to have exactly 22.5 items of type b. Therefore, option c) is not possible.
d) There are exactly 60 items of type d:
If there are exactly 60 items of type d, then the number of items of type c would need to be at least half of that, which is 30. Since there is exactly one item of type c, it is not possible to have exactly 60 items of type d. Therefore, option d) is not possible.
Conclusion:
Based on the analysis, the option that is not possible is c) There are exactly 45 items of type c.
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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.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.Which of the following is not possible?a)There are exactly 75 items of type e.b)There are exactly 30 items of type b.c)There are exactly 45 items of type c.d)There are exactly 60 items of type d.Correct answer is option 'C'. Can you explain this answer?
Question Description
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.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.Which of the following is not possible?a)There are exactly 75 items of type e.b)There are exactly 30 items of type b.c)There are exactly 45 items of type c.d)There are exactly 60 items of type d.Correct 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 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.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.Which of the following is not possible?a)There are exactly 75 items of type e.b)There are exactly 30 items of type b.c)There are exactly 45 items of type c.d)There are exactly 60 items of type d.Correct 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 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.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.Which of the following is not possible?a)There are exactly 75 items of type e.b)There are exactly 30 items of type b.c)There are exactly 45 items of type c.d)There are exactly 60 items of type d.Correct answer is option 'C'. Can you explain this answer?.
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.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.Which of the following is not possible?a)There are exactly 75 items of type e.b)There are exactly 30 items of type b.c)There are exactly 45 items of type c.d)There are exactly 60 items of type d.Correct 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 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.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.Which of the following is not possible?a)There are exactly 75 items of type e.b)There are exactly 30 items of type b.c)There are exactly 45 items of type c.d)There are exactly 60 items of type d.Correct 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 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.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.Which of the following is not possible?a)There are exactly 75 items of type e.b)There are exactly 30 items of type b.c)There are exactly 45 items of type c.d)There are exactly 60 items of type d.Correct answer is option 'C'. Can you explain this answer?.
Solutions for 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.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.Which of the following is not possible?a)There are exactly 75 items of type e.b)There are exactly 30 items of type b.c)There are exactly 45 items of type c.d)There are exactly 60 items of type d.Correct answer is option 'C'. 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 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.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.Which of the following is not possible?a)There are exactly 75 items of type e.b)There are exactly 30 items of type b.c)There are exactly 45 items of type c.d)There are exactly 60 items of type d.Correct answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
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.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.Which of the following is not possible?a)There are exactly 75 items of type e.b)There are exactly 30 items of type b.c)There are exactly 45 items of type c.d)There are exactly 60 items of type d.Correct answer is option 'C'. Can you explain this answer?, a detailed solution for 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.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.Which of the following is not possible?a)There are exactly 75 items of type e.b)There are exactly 30 items of type b.c)There are exactly 45 items of type c.d)There are exactly 60 items of type d.Correct answer is option 'C'. Can you explain this answer? has been provided alongside types of 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.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.Which of the following is not possible?a)There are exactly 75 items of type e.b)There are exactly 30 items of type b.c)There are exactly 45 items of type c.d)There are exactly 60 items of type d.Correct answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice 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.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.Which of the following is not possible?a)There are exactly 75 items of type e.b)There are exactly 30 items of type b.c)There are exactly 45 items of type c.d)There are exactly 60 items of type d.Correct answer is option 'C'. Can you explain this answer? tests, examples and also practice CAT tests.
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