Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > Consider a group of 73 persons. Then which of...
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Consider a group of 73 persons. Then which of the following is necessarily true?
- a)At least 10 persons were born in the same month
- b)At least two months should have 8 persons born in
- c)At least one month should have 7 persons born in
- d)At most 6 persons were born in every month
Correct answer is option 'C'. Can you explain this answer?
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Consider a group of 73 persons. Then which of the following is necessa...
Analysis:
We have a group of 73 persons and we need to determine which of the given statements is necessarily true. Let's analyze each statement to find the correct answer.
a) At least 10 persons were born in the same month:
To determine if this statement is true, we need to find the maximum number of persons that can be born in a single month. Since there are only 73 persons in the group, the maximum number of persons born in a single month can be 73. Therefore, it is possible that no more than 9 persons were born in the same month. Hence, statement a) is not necessarily true.
b) At least two months should have 8 persons born in:
To determine if this statement is true, we need to find the minimum number of persons that can be born in a single month. Since there are 73 persons in the group, the minimum number of persons born in a single month can be 1. Therefore, it is possible that no more than 1 person was born in each of the 12 months. Hence, statement b) is not necessarily true.
c) At least one month should have 7 persons born in:
To determine if this statement is true, we need to find the maximum number of persons that can be born in a single month. Since there are only 73 persons in the group, the maximum number of persons born in a single month can be 73. Therefore, it is possible that no more than 6 persons were born in each month. However, if all 12 months have 6 persons born in them, the total number of persons would be 72. Therefore, there must be at least one month where more than 6 persons are born in order to reach a total of 73 persons. Hence, statement c) is necessarily true.
d) At most 6 persons were born in every month:
To determine if this statement is true, we need to find the maximum number of persons that can be born in a single month. Since there are only 73 persons in the group, the maximum number of persons born in a single month can be 73. Therefore, it is possible that more than 6 persons were born in at least one month. Hence, statement d) is not necessarily true.
Conclusion:
After analyzing each statement, we can conclude that the correct answer is option 'C'. At least one month should have 7 persons born in it.
We have a group of 73 persons and we need to determine which of the given statements is necessarily true. Let's analyze each statement to find the correct answer.
a) At least 10 persons were born in the same month:
To determine if this statement is true, we need to find the maximum number of persons that can be born in a single month. Since there are only 73 persons in the group, the maximum number of persons born in a single month can be 73. Therefore, it is possible that no more than 9 persons were born in the same month. Hence, statement a) is not necessarily true.
b) At least two months should have 8 persons born in:
To determine if this statement is true, we need to find the minimum number of persons that can be born in a single month. Since there are 73 persons in the group, the minimum number of persons born in a single month can be 1. Therefore, it is possible that no more than 1 person was born in each of the 12 months. Hence, statement b) is not necessarily true.
c) At least one month should have 7 persons born in:
To determine if this statement is true, we need to find the maximum number of persons that can be born in a single month. Since there are only 73 persons in the group, the maximum number of persons born in a single month can be 73. Therefore, it is possible that no more than 6 persons were born in each month. However, if all 12 months have 6 persons born in them, the total number of persons would be 72. Therefore, there must be at least one month where more than 6 persons are born in order to reach a total of 73 persons. Hence, statement c) is necessarily true.
d) At most 6 persons were born in every month:
To determine if this statement is true, we need to find the maximum number of persons that can be born in a single month. Since there are only 73 persons in the group, the maximum number of persons born in a single month can be 73. Therefore, it is possible that more than 6 persons were born in at least one month. Hence, statement d) is not necessarily true.
Conclusion:
After analyzing each statement, we can conclude that the correct answer is option 'C'. At least one month should have 7 persons born in it.
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Community Answer
Consider a group of 73 persons. Then which of the following is necessa...
73/12 ≈ 6.08 [6.08] = 7
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Consider a group of 73 persons. Then which of the following is necessarily true?a)At least 10 persons were born in the same monthb)At least two months should have 8 persons born inc)At least one month should have 7 persons born ind)At most 6 persons were born in every monthCorrect answer is option 'C'. Can you explain this answer?
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