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In a certain village, 22% of the families own agricultural land, 18% own a mobile phone and 1600 families own both agricultural land and a mobile phone. If 68% of the families neither own agricultural land nor a mobile phone, then the total number of families living in the village is:
- a)20000
- b)10000
- c)8000
- d)5000
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
In a certain village, 22% of the families own agricultural land, 18% o...
Let total number of families in the village be T
Number of families own agricultural land, n(A) = 0.22T
Number of families own agricultural land, n(A) = 0.22T
Number of families own mobile phone, n(M) = 0.18T
Number of families own both agricultural land and mobile phone, n(A ⋂ M) = 1600
Number of families own agricultural land or mobile phone, n(A ⋃ M) = T – 0.68T = 0.32T
∴ n(A ⋃ M) = n(A) + n(M) – n(A ⋂ M)
∴ n(A ⋂ M) = 0.08T
0.08T = 1600 ⇒ T = 20000
Hence, option (a).
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Community Answer
In a certain village, 22% of the families own agricultural land, 18% o...
Given Data:
- 22% of families own agricultural land
- 18% of families own a mobile phone
- 1600 families own both agricultural land and a mobile phone
- 68% of families neither own agricultural land nor a mobile phone
Calculating the Total Number of Families:
1. Let the total number of families be x.
2. Families owning agricultural land = 22% of x = 0.22x
3. Families owning a mobile phone = 18% of x = 0.18x
4. Families owning both agricultural land and a mobile phone = 1600
5. Families owning either agricultural land or a mobile phone = (0.22x + 0.18x) - 1600
6. Families owning neither agricultural land nor a mobile phone = 68% of x = 0.68x
7. Families owning either agricultural land or a mobile phone = x - 0.68x = 0.32x
8. Families owning either agricultural land or a mobile phone = (0.22x + 0.18x) - 1600
0.32x = 0.22x + 0.18x - 1600
0.32x = 0.4x - 1600
1600 = 0.08x
x = 20000
Therefore, the total number of families living in the village is 20000 families. Hence, the correct answer is option A.
- 22% of families own agricultural land
- 18% of families own a mobile phone
- 1600 families own both agricultural land and a mobile phone
- 68% of families neither own agricultural land nor a mobile phone
Calculating the Total Number of Families:
1. Let the total number of families be x.
2. Families owning agricultural land = 22% of x = 0.22x
3. Families owning a mobile phone = 18% of x = 0.18x
4. Families owning both agricultural land and a mobile phone = 1600
5. Families owning either agricultural land or a mobile phone = (0.22x + 0.18x) - 1600
6. Families owning neither agricultural land nor a mobile phone = 68% of x = 0.68x
7. Families owning either agricultural land or a mobile phone = x - 0.68x = 0.32x
8. Families owning either agricultural land or a mobile phone = (0.22x + 0.18x) - 1600
0.32x = 0.22x + 0.18x - 1600
0.32x = 0.4x - 1600
1600 = 0.08x
x = 20000
Therefore, the total number of families living in the village is 20000 families. Hence, the correct answer is option A.
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In a certain village, 22% of the families own agricultural land, 18% own a mobile phone and 1600 families own both agricultural land and a mobile phone. If 68% of the families neither own agricultural land nor a mobile phone, then the total number of families living in the village is:a)20000b)10000c)8000d)5000Correct answer is option 'A'. Can you explain this answer?
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In a certain village, 22% of the families own agricultural land, 18% own a mobile phone and 1600 families own both agricultural land and a mobile phone. If 68% of the families neither own agricultural land nor a mobile phone, then the total number of families living in the village is:a)20000b)10000c)8000d)5000Correct answer is option 'A'. Can you explain this answer? for Banking Exams 2024 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about In a certain village, 22% of the families own agricultural land, 18% own a mobile phone and 1600 families own both agricultural land and a mobile phone. If 68% of the families neither own agricultural land nor a mobile phone, then the total number of families living in the village is:a)20000b)10000c)8000d)5000Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Banking Exams 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a certain village, 22% of the families own agricultural land, 18% own a mobile phone and 1600 families own both agricultural land and a mobile phone. If 68% of the families neither own agricultural land nor a mobile phone, then the total number of families living in the village is:a)20000b)10000c)8000d)5000Correct answer is option 'A'. Can you explain this answer?.
In a certain village, 22% of the families own agricultural land, 18% own a mobile phone and 1600 families own both agricultural land and a mobile phone. If 68% of the families neither own agricultural land nor a mobile phone, then the total number of families living in the village is:a)20000b)10000c)8000d)5000Correct answer is option 'A'. Can you explain this answer? for Banking Exams 2024 is part of Banking Exams preparation. The Question and answers have been prepared according to the Banking Exams exam syllabus. Information about In a certain village, 22% of the families own agricultural land, 18% own a mobile phone and 1600 families own both agricultural land and a mobile phone. If 68% of the families neither own agricultural land nor a mobile phone, then the total number of families living in the village is:a)20000b)10000c)8000d)5000Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for Banking Exams 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a certain village, 22% of the families own agricultural land, 18% own a mobile phone and 1600 families own both agricultural land and a mobile phone. If 68% of the families neither own agricultural land nor a mobile phone, then the total number of families living in the village is:a)20000b)10000c)8000d)5000Correct answer is option 'A'. Can you explain this answer?.
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