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On a survey of 100 boys it was found that 50 used white that 50 used white shirt 40 red and 30 blue. 20 were habituated in using both white and red shirts 15 both red and blue shirts and 10 blue and white shirts. If 10 boys did not use any of the white red or blue colours and 20 boys used all the colours offer your comments.
- a)Inconsistent since 50+40+30-20-15-10+20≠100
- b)Consistent
- c)Cannot determine due to data insufficiency
- d)None
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
On a survey of 100 boys it was found that 50 used white that 50 used w...
This statement is incorrect. The given values are consistent.
To verify, we can use the principle of inclusion-exclusion.
Total number of boys who used at least one color = 50 (white) + 40 (red) + 30 (blue) = 120
However, we have counted the boys who used two colors twice, so we need to subtract them:
- Boys who used both white and red = 20
- Boys who used both red and blue = 15
- Boys who used both blue and white = 10
Total number of boys who used two colors = 20 + 15 + 10 = 45
Now, we have subtracted the boys who used two colors twice, so we need to add back the boys who used all three colors:
- Boys who used all three colors = 20
Total number of boys who used all three colors = 20
Therefore, the total number of boys who used at least one color is:
120 - 45 + 20 = 95
This means that there are 5 boys who did not use any of the white, red, or blue colors. This is consistent with the given information that 10 boys did not use any of these colors, because some of them may have used only black or other colors.
Similarly, the given information that 20 boys used all the colors is also consistent with the principle of inclusion-exclusion.
To verify, we can use the principle of inclusion-exclusion.
Total number of boys who used at least one color = 50 (white) + 40 (red) + 30 (blue) = 120
However, we have counted the boys who used two colors twice, so we need to subtract them:
- Boys who used both white and red = 20
- Boys who used both red and blue = 15
- Boys who used both blue and white = 10
Total number of boys who used two colors = 20 + 15 + 10 = 45
Now, we have subtracted the boys who used two colors twice, so we need to add back the boys who used all three colors:
- Boys who used all three colors = 20
Total number of boys who used all three colors = 20
Therefore, the total number of boys who used at least one color is:
120 - 45 + 20 = 95
This means that there are 5 boys who did not use any of the white, red, or blue colors. This is consistent with the given information that 10 boys did not use any of these colors, because some of them may have used only black or other colors.
Similarly, the given information that 20 boys used all the colors is also consistent with the principle of inclusion-exclusion.
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Community Answer
On a survey of 100 boys it was found that 50 used white that 50 used w...
This statement is not clear. However, based on the given information, it seems that there is some overlap between the groups of boys who use white, red, and blue shirts. This could be due to some boys wearing shirts that have multiple colors or patterns. The fact that 10 boys use all three colors suggests that there may be some popular shirt designs that incorporate all three colors. Overall, the data suggests that there is a diverse range of shirt color preferences among the surveyed boys.
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On a survey of 100 boys it was found that 50 used white that 50 used white shirt 40 red and 30 blue. 20 were habituated in using both white and red shirts 15 both red and blue shirts and 10 blue and white shirts. If 10 boys did not use any of the white red or blue colours and 20 boys used all the colours offer your comments.a)Inconsistent since 50+40+30-20-15-10+20≠100b)Consistentc)Cannot determine due to data insufficiencyd)NoneCorrect answer is option 'A'. Can you explain this answer?
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On a survey of 100 boys it was found that 50 used white that 50 used white shirt 40 red and 30 blue. 20 were habituated in using both white and red shirts 15 both red and blue shirts and 10 blue and white shirts. If 10 boys did not use any of the white red or blue colours and 20 boys used all the colours offer your comments.a)Inconsistent since 50+40+30-20-15-10+20≠100b)Consistentc)Cannot determine due to data insufficiencyd)NoneCorrect answer is option 'A'. 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 On a survey of 100 boys it was found that 50 used white that 50 used white shirt 40 red and 30 blue. 20 were habituated in using both white and red shirts 15 both red and blue shirts and 10 blue and white shirts. If 10 boys did not use any of the white red or blue colours and 20 boys used all the colours offer your comments.a)Inconsistent since 50+40+30-20-15-10+20≠100b)Consistentc)Cannot determine due to data insufficiencyd)NoneCorrect answer is option 'A'. 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 On a survey of 100 boys it was found that 50 used white that 50 used white shirt 40 red and 30 blue. 20 were habituated in using both white and red shirts 15 both red and blue shirts and 10 blue and white shirts. If 10 boys did not use any of the white red or blue colours and 20 boys used all the colours offer your comments.a)Inconsistent since 50+40+30-20-15-10+20≠100b)Consistentc)Cannot determine due to data insufficiencyd)NoneCorrect answer is option 'A'. Can you explain this answer?.
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