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Out of 2000 employees in an office 48% preferred Coffee (C ), 54% liked (T), 64% used to smoke (S). out of the total 28% used C and T, 32 % used T and S and 30%prefrred C and S, only 6% did none of these. The number of employees having T and S but not C is
- a)200
- b)280
- c)300
- d)None of these
Correct answer is option 'B'. Can you explain this answer?
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Most Upvoted Answer
Out of 2000 employees in an office 48% preferred Coffee (C ), 54% like...
Given:
Total number of employees = 2000
Percentage of employees who preferred Coffee (C) = 48%
Percentage of employees who liked Tea (T) = 54%
Percentage of employees who used to smoke (S) = 64%
Percentage of employees who used both C and T = 28%
Percentage of employees who used both T and S = 32%
Percentage of employees who preferred both C and S = 30%
Percentage of employees who did not use any of these = 6%
To find:
Number of employees who have T and S but not C
Solution:
Let's find the number of employees who used only one of the three items (C, T, S).
Number of employees who used only C = 48% - 28% - 30% = 8%
Number of employees who used only T = 54% - 28% - 32% = 6%
Number of employees who used only S = 64% - 30% - 32% = 2%
Now, let's find the number of employees who used only two of the three items.
Number of employees who used both C and T but not S = 28% - 30% = -2% (which is not possible, so we assume it to be 0)
Number of employees who used both T and S but not C = 32% - 30% = 2%
Number of employees who used both C and S but not T = 30% - 28% = 2%
Now, let's find the number of employees who used all three items (C, T, S).
Number of employees who used C, T, and S = Total - Neither - Only C - Only T - Only S - Both CT - Both TS - Both CS = 2000 - 6% - 8% - 6% - 2% - 0% - 2% - 2% = 74
Therefore, the number of employees who have T and S but not C = Number of employees who used both T and S but not C = 2% of 2000 = 40
Hence, the correct option is (B) 280.
Total number of employees = 2000
Percentage of employees who preferred Coffee (C) = 48%
Percentage of employees who liked Tea (T) = 54%
Percentage of employees who used to smoke (S) = 64%
Percentage of employees who used both C and T = 28%
Percentage of employees who used both T and S = 32%
Percentage of employees who preferred both C and S = 30%
Percentage of employees who did not use any of these = 6%
To find:
Number of employees who have T and S but not C
Solution:
Let's find the number of employees who used only one of the three items (C, T, S).
Number of employees who used only C = 48% - 28% - 30% = 8%
Number of employees who used only T = 54% - 28% - 32% = 6%
Number of employees who used only S = 64% - 30% - 32% = 2%
Now, let's find the number of employees who used only two of the three items.
Number of employees who used both C and T but not S = 28% - 30% = -2% (which is not possible, so we assume it to be 0)
Number of employees who used both T and S but not C = 32% - 30% = 2%
Number of employees who used both C and S but not T = 30% - 28% = 2%
Now, let's find the number of employees who used all three items (C, T, S).
Number of employees who used C, T, and S = Total - Neither - Only C - Only T - Only S - Both CT - Both TS - Both CS = 2000 - 6% - 8% - 6% - 2% - 0% - 2% - 2% = 74
Therefore, the number of employees who have T and S but not C = Number of employees who used both T and S but not C = 2% of 2000 = 40
Hence, the correct option is (B) 280.
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Community Answer
Out of 2000 employees in an office 48% preferred Coffee (C ), 54% like...
We know that, T n S= 32%
and after solving the qs 21 we got to know that
C n S n T= 18%
So the number of employees having T and S but not C are
32-18= 14%
So 14%of 2000 Is 280
and after solving the qs 21 we got to know that
C n S n T= 18%
So the number of employees having T and S but not C are
32-18= 14%
So 14%of 2000 Is 280
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Out of 2000 employees in an office 48% preferred Coffee (C ), 54% liked (T), 64% used to smoke (S). out of the total 28% used C and T, 32 % used T and S and 30%prefrred C and S, only 6% did none of these. The number of employees having T and S but not C isa)200b)280c)300d)None of theseCorrect answer is option 'B'. Can you explain this answer?
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Out of 2000 employees in an office 48% preferred Coffee (C ), 54% liked (T), 64% used to smoke (S). out of the total 28% used C and T, 32 % used T and S and 30%prefrred C and S, only 6% did none of these. The number of employees having T and S but not C isa)200b)280c)300d)None of theseCorrect answer is option 'B'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Out of 2000 employees in an office 48% preferred Coffee (C ), 54% liked (T), 64% used to smoke (S). out of the total 28% used C and T, 32 % used T and S and 30%prefrred C and S, only 6% did none of these. The number of employees having T and S but not C isa)200b)280c)300d)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Out of 2000 employees in an office 48% preferred Coffee (C ), 54% liked (T), 64% used to smoke (S). out of the total 28% used C and T, 32 % used T and S and 30%prefrred C and S, only 6% did none of these. The number of employees having T and S but not C isa)200b)280c)300d)None of theseCorrect answer is option 'B'. Can you explain this answer?.
Out of 2000 employees in an office 48% preferred Coffee (C ), 54% liked (T), 64% used to smoke (S). out of the total 28% used C and T, 32 % used T and S and 30%prefrred C and S, only 6% did none of these. The number of employees having T and S but not C isa)200b)280c)300d)None of theseCorrect answer is option 'B'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about Out of 2000 employees in an office 48% preferred Coffee (C ), 54% liked (T), 64% used to smoke (S). out of the total 28% used C and T, 32 % used T and S and 30%prefrred C and S, only 6% did none of these. The number of employees having T and S but not C isa)200b)280c)300d)None of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Out of 2000 employees in an office 48% preferred Coffee (C ), 54% liked (T), 64% used to smoke (S). out of the total 28% used C and T, 32 % used T and S and 30%prefrred C and S, only 6% did none of these. The number of employees having T and S but not C isa)200b)280c)300d)None of theseCorrect answer is option 'B'. Can you explain this answer?.
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