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Of the 200 candidates who were interviewed for a position at call centre, 100 had a two-wheeler, 70 had a credit card and 140 had a and 140 had a mobile phone, 40 of them had both a two-wheeler and a credit card, 30 had both a credit card and a mobile phone, 60 had both a two-wheeler and a mobile phone, and 10 had all three. How many candidates had none of the three?
- a)0
- b)20
- c)10
- d)18
Correct answer is option 'C'. Can you explain this answer?
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Verified Answer
Of the 200 candidates who were interviewed for a position at call cent...
Number of candidates who had none of the three = Total number of candidates - number of candidates who had at least one of three devices.
Total number of candidates = 200.
Number of candidates who had at least one of the three = A U B U C, where A is the set of those who have a two wheeler, B the set of those who have a credit card and C the set of those who have a mobile phone.
We know that AUBUC = A + B + C - {A n B + B n C + C n A} + A n B n C
Therefore, AUBUC = 100 + 70 + 140 - {40 + 30 + 60} + 10
Or AUBUC = 190.
As 190 candidates who attended the interview had at least one of the three gadgets, 200 - 190 = 10 candidates had none of three.
Most Upvoted Answer
Of the 200 candidates who were interviewed for a position at call cent...
Given information:
- Total number of candidates interviewed = 200
- Number of candidates with a two-wheeler = 100
- Number of candidates with a credit card = 70
- Number of candidates with a mobile phone = 140
- Number of candidates with both a two-wheeler and a credit card = 40
- Number of candidates with both a credit card and a mobile phone = 30
- Number of candidates with both a two-wheeler and a mobile phone = 60
- Number of candidates with all three = 10
To find: Number of candidates with none of the three.
Approach:
We can use the principle of inclusion-exclusion to find the number of candidates with none of the three. We start by adding the number of candidates with each item (two-wheeler, credit card, mobile phone), then subtracting the number of candidates with two items (two-wheeler and credit card, credit card and mobile phone, two-wheeler and mobile phone), then adding back the number of candidates with all three items. The result is the number of candidates with at least one of the three items. To find the number of candidates with none of the three, we subtract this result from the total number of candidates interviewed.
Calculation:
Number of candidates with at least one of the three items =
(Number of candidates with a two-wheeler) + (Number of candidates with a credit card) + (Number of candidates with a mobile phone)
- (Number of candidates with both a two-wheeler and a credit card) - (Number of candidates with both a credit card and a mobile phone) - (Number of candidates with both a two-wheeler and a mobile phone)
+ (Number of candidates with all three)
= 100 + 70 + 140 - 40 - 30 - 60 + 10
= 190
Number of candidates with none of the three =
(Total number of candidates interviewed) - (Number of candidates with at least one of the three items)
= 200 - 190
= 10
Therefore, the number of candidates with none of the three is 10, which is option (c).
- Total number of candidates interviewed = 200
- Number of candidates with a two-wheeler = 100
- Number of candidates with a credit card = 70
- Number of candidates with a mobile phone = 140
- Number of candidates with both a two-wheeler and a credit card = 40
- Number of candidates with both a credit card and a mobile phone = 30
- Number of candidates with both a two-wheeler and a mobile phone = 60
- Number of candidates with all three = 10
To find: Number of candidates with none of the three.
Approach:
We can use the principle of inclusion-exclusion to find the number of candidates with none of the three. We start by adding the number of candidates with each item (two-wheeler, credit card, mobile phone), then subtracting the number of candidates with two items (two-wheeler and credit card, credit card and mobile phone, two-wheeler and mobile phone), then adding back the number of candidates with all three items. The result is the number of candidates with at least one of the three items. To find the number of candidates with none of the three, we subtract this result from the total number of candidates interviewed.
Calculation:
Number of candidates with at least one of the three items =
(Number of candidates with a two-wheeler) + (Number of candidates with a credit card) + (Number of candidates with a mobile phone)
- (Number of candidates with both a two-wheeler and a credit card) - (Number of candidates with both a credit card and a mobile phone) - (Number of candidates with both a two-wheeler and a mobile phone)
+ (Number of candidates with all three)
= 100 + 70 + 140 - 40 - 30 - 60 + 10
= 190
Number of candidates with none of the three =
(Total number of candidates interviewed) - (Number of candidates with at least one of the three items)
= 200 - 190
= 10
Therefore, the number of candidates with none of the three is 10, which is option (c).
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Of the 200 candidates who were interviewed for a position at call centre, 100 had a two-wheeler, 70 had a credit card and 140 had a and 140 had a mobile phone, 40 of them had both a two-wheeler and a credit card, 30 had both a credit card and a mobile phone, 60 had both a two-wheeler and a mobile phone, and 10 had all three. How many candidates had none of the three?a)0b)20c)10d)18Correct answer is option 'C'. Can you explain this answer?
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Of the 200 candidates who were interviewed for a position at call centre, 100 had a two-wheeler, 70 had a credit card and 140 had a and 140 had a mobile phone, 40 of them had both a two-wheeler and a credit card, 30 had both a credit card and a mobile phone, 60 had both a two-wheeler and a mobile phone, and 10 had all three. How many candidates had none of the three?a)0b)20c)10d)18Correct answer is option 'C'. 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 Of the 200 candidates who were interviewed for a position at call centre, 100 had a two-wheeler, 70 had a credit card and 140 had a and 140 had a mobile phone, 40 of them had both a two-wheeler and a credit card, 30 had both a credit card and a mobile phone, 60 had both a two-wheeler and a mobile phone, and 10 had all three. How many candidates had none of the three?a)0b)20c)10d)18Correct answer is option 'C'. 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 Of the 200 candidates who were interviewed for a position at call centre, 100 had a two-wheeler, 70 had a credit card and 140 had a and 140 had a mobile phone, 40 of them had both a two-wheeler and a credit card, 30 had both a credit card and a mobile phone, 60 had both a two-wheeler and a mobile phone, and 10 had all three. How many candidates had none of the three?a)0b)20c)10d)18Correct answer is option 'C'. Can you explain this answer?.
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